tag:blogger.com,1999:blog-91517472487110400092024-03-14T11:21:18.306+07:00Fisika gampangAnonymoushttp://www.blogger.com/profile/07636368241982860432noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-9151747248711040009.post-82614927448803964272016-02-02T14:00:00.000+07:002016-02-03T13:51:17.811+07:00<div style="text-align: center;">
<b><span style="font-family: "verdana" , sans-serif; font-size: large;">OPTIK</span></b><br />
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Anonymoushttp://www.blogger.com/profile/07636368241982860432noreply@blogger.com0tag:blogger.com,1999:blog-9151747248711040009.post-13095422366699939862016-01-22T10:07:00.001+07:002016-01-28T10:33:17.410+07:00LISTRIK AC<br />
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<b>LISTRIK ARUS BOLAK-BALIK ( AC )</b></div>
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<![endif]-->Pokok Bahasan :<br />
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<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">1. Menerapkan hukum kelistrikan arus
bolak-balik</span></div>
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<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">2. </span><span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">Menganalisis hubungan antara tegangan, </span><span style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">impedansi</span><span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">, dan kuat arus pada listrik bolak-balik</span></div>
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<br /></div>
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<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">Materi Pelajaran :</span><br />
<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;"><br /></span>
<br />
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<!--[if !supportLists]--><span lang="IN" style="font-family: "symbol"; font-size: 10.0pt;">·<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal;"> </span></span><!--[endif]--><span lang="SV" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;">Sumber tegangan bolak-balik</span></div>
<div align="left" class="MsoListParagraphCxSpMiddle" style="margin-left: 13.05pt; text-indent: -13.05pt;">
<!--[if !supportLists]--><span lang="IN" style="font-family: "symbol"; font-size: 10.0pt;">·<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal;"> </span></span><!--[endif]--><span lang="SV" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;">Macam-macam beban dalam rangkaian srus bolak-balik</span></div>
<div align="left" class="MsoListParagraphCxSpMiddle" style="margin-left: 13.05pt; text-indent: -13.05pt;">
<!--[if !supportLists]--><span lang="IN" style="font-family: "symbol"; font-size: 10.0pt;">·<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal;"> </span></span><!--[endif]--><span lang="SV" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;">Perumusan impedansi RLC seri</span><span lang="IN" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;"><o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="IN" style="font-family: "symbol"; font-size: 10.0pt;">·<span style="font-family: "times new roman"; font-size: 7pt; font-stretch: normal;"> </span></span><!--[endif]--><span lang="SV" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;">Perumusan impedansi RLC paralel</span><span lang="IN" style="font-family: "verdana" , "sans-serif"; font-size: 10.0pt;"><o:p></o:p></span></div>
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</span></span></b></div>
<div class="MsoNormal">
<span style="color: red; font-family: "verdana" , sans-serif;"><b>1. Sumber tegangan bolak-balik</b></span><br />
<span style="font-family: "verdana" , sans-serif;"><b><br /></b></span>
<span lang="SV" style="color: blue; font-family: "verdana" , sans-serif; mso-ansi-language: SV;"><b>1.1. Mengamati arus
bolak-balik</b></span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">Apabila suatu rangkaian arus bolak-balik diamati
dengan alat ukur listrik amperemeter DC </span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">dan osiloskop dengan pemasangan seperti
gambar maka dapat kita lihat pada kedua alat ukur </span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">sebagai berikut :</span></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2lqTQRxc-VQHBqQz7kVY80fdfLLLrb0ELi-7RLjyawFMZZw5bNAnVrA3xeK-NWZW3EG49F8UZI02NL0N_CW_oFjOd3gS5Lbj2oO1yyh1Kj2ms_IfRiYWboLT4JCrXJAeKZct9hsVb1ZDZ/s1600/CRO1a.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="231" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2lqTQRxc-VQHBqQz7kVY80fdfLLLrb0ELi-7RLjyawFMZZw5bNAnVrA3xeK-NWZW3EG49F8UZI02NL0N_CW_oFjOd3gS5Lbj2oO1yyh1Kj2ms_IfRiYWboLT4JCrXJAeKZct9hsVb1ZDZ/s320/CRO1a.jpg" width="320" /></a></div>
<div class="MsoNormal">
<span style="mso-no-proof: yes;"><br /></span></div>
<div class="MsoNormal" style="margin-left: .5in; text-align: justify; text-indent: -.25in;">
<span lang="SV" style="mso-ansi-language: SV;">►<span style="mso-tab-count: 1;"> </span>Pada Amperemeter DC, jarumnya tetap menunjukkan angka nol artinya alat ini tidak
dapat menunjukkan nilai arus yang mengalir karena arah arus berubah-ubah.</span></div>
<div class="MsoNormal" style="margin-left: .5in; text-align: justify; text-indent: -.25in;">
<span lang="SV" style="mso-ansi-language: SV;">►<span style="mso-tab-count: 1;"> </span>Pada Osiloskop, layarnya menunjukkan gambar grafik sinusoidal. Bila lebih lanjut
kita amati garis-garis skala pada layer osiloskop itu, maka dapat terlihat pula
nilai tegangan maksimum dan frekuensi arus / tegangan bolak-balik tersebut.</span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">Dari hasil pengamatan tersebut dapat disimpulkan
bahwa arus / tegangan bolak-balik adalah arus </span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">/ tegangan yang nilainya selalu
berubah-ubah terhadap waktu secara periodik. Nilai arus / </span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">tegangan berubah dari
nilai nol sampai dengan nilai maksimum.</span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">Disebut arus / tegangan bolak-balik karena arus
ini mengalir bolak-balik setiap selang waktu</span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">tertentu sesuai dengan frekuensi
sumbernya. Apabila frekuensi sumbernya </span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV" style="mso-ansi-language: SV;">50 Hz maka berarti arah arus setiap detik berubah
50 kali.</span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-size: small;"><span style="color: blue; font-family: "verdana" , sans-serif;"><b><span lang="SV">1.2. </span><span lang="SV">Arah dan tegangan sinusoidal</span></b></span></span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<a href="https://www.blogger.com/blogger.g?blogID=9151747248711040009" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=9151747248711040009" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=9151747248711040009" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><br /></a><span lang="SV" style="mso-ansi-language: SV;">Sumber arus bolak balik adalah generator AC, yang
dapat menghasilkan ggl induksi dan berprinsip pada hukum Faraday serta
grafiknya berupa fungsi sinusoida yaitu sebagai berikut</span></div>
<div class="separator" style="clear: both; text-align: left;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCGqtkaBawprbscseHM55LpTuFDff4t9yw6mIYsNkbERPnfGY0cx3OnDLmqE2PzTH9_96ADVTD1YwMdRDdBdkPn787j5Imani-iqVK3EHMYgjlOl6a_8511j3FJ9jqx3147UulH_0i2bcV/s1600/grafik+sinus+AC.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="158" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCGqtkaBawprbscseHM55LpTuFDff4t9yw6mIYsNkbERPnfGY0cx3OnDLmqE2PzTH9_96ADVTD1YwMdRDdBdkPn787j5Imani-iqVK3EHMYgjlOl6a_8511j3FJ9jqx3147UulH_0i2bcV/s320/grafik+sinus+AC.png" width="320" /></a></div>
<div class="separator" style="clear: both; text-align: left;">
<span lang="SV" style="text-align: justify;"><span style="mso-spacerun: yes;"> </span></span><span style="text-align: justify;">Besar tegangan/arus sesaat dinyatakan :</span><b><span lang="SV"> </span></b></div>
<div class="separator" style="clear: both; text-align: left;">
<b><span lang="SV"><br /></span></b></div>
<div class="MsoNormal" style="margin-left: .5in; text-align: justify; text-indent: .5in;">
<b><span lang="SV">V = V<sub>maks</sub> . sin </span></b><b><span style="font-family: "arial" , "sans-serif";">ω</span></b><b><span lang="SV">t </span></b><span lang="SV"><o:p></o:p></span></div>
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<span lang="SV" style="text-align: justify;">
</span></div>
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<b><span lang="SV"> I = I <sub>maks . </sub>sin </span></b><b><span style="font-family: "arial" , "sans-serif";">ω</span></b><b><span lang="SV">t<o:p></o:p></span></b></div>
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<b><span lang="SV"><br /></span></b></div>
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<span lang="SV">Persamaan tersebut merupakan fungsi sinus seperti
pada grafik, oleh karena itu ggl induksinya disebut ggl sinusoidal atau arus
dan tegangan sinusoidal.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; text-align: justify;">
<span lang="SV">harga <b>sin </b></span><b><span style="font-family: "arial" , "sans-serif";">ω</span></b><b><span lang="SV">t</span></b><span lang="SV"> disebut <b>sudut
fase.</b><o:p></o:p></span></div>
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<br /></div>
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<div class="MsoNormal">
<b><span lang="SV"><span style="color: blue; font-family: "verdana" , sans-serif;">1.3 Nilai Efektif dan nilai Maksimum </span><o:p></o:p></span></b></div>
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<b><span lang="SV"> a. Nilai maksimum dan frekuensi<o:p></o:p></span></b></div>
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<span lang="SV">Dengan osiloskop dapat
diamati nilai maksimum arus / tegangan dan frekuensinya, yang tergambar dalam
bentuk garis cahaya ( trace ) pada layarnya.<o:p></o:p></span></div>
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<span lang="SV">Gambar di atas menunjukkan
tampilan layar osiloskop. Garis skala vertical adalah garis skala untuk
tegangan dan garis skala horizontal untuk skala waktu. <o:p></o:p></span></div>
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<span lang="SV">Misalkan untuk skala tegangan diatur 2
volt/garis skala dan skala waktu diatur 5 mili detik/garis skala. Kemudian
“test head” osiloskop disentuhkan pada rangkaian arus bolak-balik secara
parallel dan nampak pada layar grafik sinusoidal seperti pada gambar diatas. </span><br />
<span lang="SV"><br /></span></div>
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</div>
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<b><span lang="DE"> b.
Nilai efektif<o:p></o:p></span></b></div>
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<span lang="DE">Yang dimaksud nilai efektif arus / tegangan
bolak-balik adalah kuat arus / tegangan yang dianggap setara dengan arus /
tegangan searah yang menghasilkan jumlah kalor yang sama ketika melalui suatu
penghantar dalam waktu yang sama. </span><span lang="SV">Hubungan arus / tegangan efektif dengan arus / tegangan maksimum dinyatakan
dengan persamaan :<o:p></o:p></span><br />
<span lang="SV"></span><br />
<div style="text-align: left;">
<span lang="SV"><br /></span></div>
<div style="text-align: left;">
<span lang="SV"> <b>Veff = 0.707 V maks</b></span></div>
<br />
<span lang="SV"><b> I eff = 0.707 I maks</b></span><br />
<span style="text-align: left;">Dengan :</span><br />
<span style="text-align: left;">I </span><sub style="text-align: left;">ef </sub><span style="text-align: left;"> = arus efektif ( ampere )</span><br />
<span style="text-align: left;">I </span><sub style="text-align: left;">m </sub><span style="text-align: left;"> = arus maksimum ( ampere )</span><br />
<span style="text-align: left;">V</span><sub style="text-align: left;"> ef</sub><span style="text-align: left;"> = tegangan efektif ( volt )</span><br />
<span style="text-align: left;">V </span><sub style="text-align: left;">m</sub><span style="text-align: left;"> = tegangan maksimum ( volt )</span><br />
<br />
<b style="background-color: white; font-family: verdana, sans-serif;"><span style="color: red;">2. Macam-macam beban
dalam rangkaian AC</span></b><br />
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<b><span lang="SV"> </span></b><span lang="SV">Yang dimaksud dengan diagram <b>Fasor</b> (diagram
vector) yaitu vector yang dapat </span>berputar dengan arah berlawanan jarum jam.</div>
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<span lang="SV"><br /></span>
<b style="background-color: white; font-family: verdana, sans-serif;"> </b><b style="background-color: white;"><span style="color: blue; font-family: "arial" , "helvetica" , sans-serif;">2.1. Resistor dalam rangkaian AC:</span></b></div>
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<b><span lang="SV"> </span></b><span lang="SV">Jika sebuah resistor (hambatan) dilalui arus
bolak-balik, maka tegangan dan<o:p></o:p></span></div>
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<span lang="SV"> arusnya dikatakan sefase, sehingga secara
vector berimpit.</span></div>
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<br /></div>
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<span lang="SV"> </span>Rangkaian Resistor Kurva V dan I Diagram Fasor </div>
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<span lang="SV"><o:p></o:p></span></div>
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<span lang="SV"><br /></span></div>
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<span lang="SV"> Hukum Ohm pada beban ini menjadi : <b>V = I . R</b><o:p></o:p></span><br />
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<b><span lang="SV">V = V<sub>maks</sub> . sin </span></b><b><span style="font-family: "arial" , "sans-serif";">ω</span></b><b><span lang="SV">t </span></b><span lang="SV"><o:p></o:p></span></div>
</div>
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<span lang="SV" style="text-align: justify;"></span></div>
<span lang="SV"></span><br />
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<b><span lang="SV"> I = I <sub>maks . </sub>sin </span></b><b><span style="font-family: "arial" , "sans-serif";">ω</span></b><b><span lang="SV">t</span></b></div>
<div style="text-align: left;">
<span lang="SV"><b>V </b>sefase dengan<b> i</b></span></div>
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<span lang="SV"><b><br /></b></span></div>
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<span lang="SV"> Ket : V =
potensial listrik (V)<o:p></o:p></span></div>
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<span lang="SV"> I = kuat arus listrik (A)<o:p></o:p></span></div>
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<span lang="SV"> R
= hambatan (</span>Ω<span lang="SV">)</span><br />
<b style="font-family: verdana, sans-serif; text-align: left;"><span lang="SV"><br /></span></b>
<b style="text-align: left;"><span style="color: blue; font-family: "arial" , "helvetica" , sans-serif;"><span lang="SV">2.2. </span><span lang="SV">Induktor dalam rangkaian listrik AC</span></span></b></div>
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<div style="text-align: left;">
<div style="text-align: justify;">
<b><span lang="SV"> </span></b><span lang="SV">Jika sebuah induktor dilalui arus bolak-balik,
maka fase tegangan akan <b>mendahului</b></span><b><span lang="SV"> 90<sup>o </sup></span></b><span lang="SV" style="text-align: left;">terhadap arusnya (leading), sehingga diagram fasor
dan kurvanya ditunjukkan</span><span style="text-align: left;"> seperti </span><span style="text-align: left;">gambar dibawah ini :</span></div>
</div>
</div>
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Rangkaian Induktor Kurva V<sub>L</sub> dan I Diagram fasor </div>
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</div>
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<span lang="SV"><o:p></o:p></span></div>
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<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;"> ►</span><span lang="SV"> V = V<sub>m</sub> . sin </span><span style="font-family: "arial" , "sans-serif";">ω</span><span lang="SV">t <b><o:p></o:p></b></span></div>
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<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;"> ►</span><span lang="SV"> i =
i<sub>m </sub>. sin ( </span><span style="font-family: "arial" , "sans-serif";">ω</span><span lang="SV">t – 90<sup>0</sup> )<o:p></o:p></span></div>
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<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;"> ►</span><span lang="SV"> V mendahului i dengan beda fase 90<sup>0</sup><o:p></o:p></span></div>
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<span lang="SV"> <o:p></o:p></span></div>
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<span lang="SV"> Hukum Ohm pada rangkaian ini menjadi : </span><span lang="SV" style="text-indent: 0.25in;"><b style="text-indent: 48px;"><span lang="SV">V = I.X<sub>L</sub></span></b><span lang="SV" style="text-indent: 48px;"> </span> sedang </span><span lang="SV" style="text-indent: 48px;"><b>X<sub>L</sub> = 2</b></span><b style="text-indent: 48px;">π</b><b style="text-indent: 48px;"><span lang="SV">f.L </span></b></div>
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<span style="text-indent: 48px;"><span lang="SV"><b> </b> dimana : </span></span><span lang="SV" style="text-align: left; text-indent: 0px;">X<sub>L</sub> = reaktansi induktif (</span><span style="text-align: left; text-indent: 0px;">Ω</span><span lang="SV" style="text-align: left; text-indent: 0px;">)</span><br />
<span lang="SV" style="text-align: left; text-indent: 0px;"> L = </span><span style="text-indent: 48px;">Induktansi (Henry)</span><br />
<span style="text-indent: 48px;"> </span><span style="text-indent: 0px;">f = frekuensi (Hz)</span><span style="text-indent: 48px;"> </span><br />
<br /></div>
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<span lang="SV"> <span style="font-family: "arial" , "helvetica" , sans-serif;"> <span style="color: blue; font-family: "verdana" , sans-serif;"><b>2.3. </b></span></span></span><b><span lang="SV"><span style="color: blue; font-family: "arial" , "helvetica" , sans-serif;">Kapasitor dalam rangkaian listrik AC</span></span></b></div>
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<div style="text-align: left;">
<b><span lang="SV"> </span></b><span lang="SV">Jika sebuah kapasitor dilalui arus bolak-balik,
maka fase tegangan akan</span><br />
<span lang="SV"> <b>tertinggal </b></span><b><span lang="SV">90<sup>o </sup></span></b><span lang="SV">terhadap arusnya (lagging), sehingga
diagram fasor dan kurvanya adalah</span><br />
<span lang="SV"> seperti </span>dibawah <b><span lang="SV"> </span></b> </div>
</div>
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<span lang="SV"><br /></span></div>
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<span lang="SV"><span lang="SV" style="font-family: "times new roman" , "serif"; font-size: 12.0pt;"> Rangkaian kapasitor (C) </span></span><span lang="SV" style="font-family: "times new roman" , serif; font-size: 12pt;">Kurva V<sub>C</sub> dan I</span> <span lang="SV" style="font-family: "times new roman" , serif; font-size: 12pt;">Diagram fasor </span><br />
<span lang="SV" style="font-family: "times new roman" , serif; font-size: 12pt;"><br /></span>
<b style="text-align: justify;"><span lang="SV"> </span></b><span style="font-family: "times new roman" , serif; font-size: 12pt; text-align: justify;">Hukum Ohm pada rangkaian
ini menjadi : </span><b style="font-size: 12pt; text-align: justify;"><span style="font-family: "verdana" , sans-serif;">V = I Xc</span></b></div>
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<span style="font-size: 12pt;"><b><span style="font-family: "verdana" , sans-serif;"><br /></span></b></span></div>
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<span lang="SV" style="font-family: "times new roman" , serif;"><span style="font-size: 12pt; font-weight: bold;"> </span><sub><span style="font-size: 12pt; font-weight: bold;"> </span></sub></span><b><span lang="SV" style="font-family: "times new roman" , serif;"><span style="font-size: 12pt;"> </span></span></b></div>
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<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;">►</span><span lang="SV"> V = V<sub>m</sub> . sin </span><span style="font-family: "arial" , "sans-serif";">ω</span><span lang="SV">t <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;">►</span><span lang="SV"> i
= i<sub>m </sub>. sin ( </span><span style="font-family: "arial" , "sans-serif";">ω</span><span lang="SV">t + 90<sup>0</sup> )<o:p></o:p></span></div>
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<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;">►</span><span lang="SV"> V tertinggal i dengan beda fase 90<sup>0</sup><o:p></o:p></span><br />
<span lang="SV"><sup><br /></sup></span><span lang="SV"><sup><br /><br /></sup></span><span lang="SV"><sup>Untuk Latihan soal bab Listrik Arus Bolak-balik <a href="https://docs.google.com/a/smkmuh3-yog.sch.id/forms/d/1pl-eTnvm1zsHuYLYresQo5tAOIvFEArHevdtRmWm2-s/viewform?usp=send_form">klik disini</a></sup></span>
<span lang="SV"><sup><br /></sup></span><span lang="SV"><sup><br /></sup></span>
<br />
<div style="text-align: justify; text-indent: 0px;">
<span style="color: red; font-family: "verdana" , sans-serif;"><b><span style="text-align: -webkit-left; text-indent: -17.4px;">3. </span><span style="text-align: -webkit-left; text-indent: -17.4px;">Perumusan impedansi RLC seri</span></b></span></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "verdana" , sans-serif;"><b><span style="text-align: -webkit-left; text-indent: -17.4px;"><br /></span></b></span></div>
<div class="MsoNormal" style="margin-left: 0.25in; text-indent: -0.25in;">
<span lang="SV"> Dalam
rangkaian AC jarang kita jumpai adanya beban murni, biasanya merupakan
kombinasi dari beberapa beban, sehingga kita mengenal pengertian <b>impedansi </b>rangkaian
(<b>Z</b>) yang merupakan beban gabungan tadi, dengan begitu kita juga mengenal
<b>factor daya</b> yang besarnya :<o:p></o:p></span></div>
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<br /></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "verdana" , sans-serif;"><b><span style="text-align: -webkit-left; text-indent: -17.4px;">Cos </span></b></span><span style="font-family: "times new roman" , serif; font-size: 12pt;"><b>θ = R / Z </b>dimana<b> : </b></span><span style="font-family: "times new roman" , serif; font-size: 12pt;">Cos θ = factor daya</span></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "times new roman" , serif; font-size: 12pt;"> </span><span style="font-family: "times new roman" , serif; font-size: 12pt;">R</span><span style="font-family: "times new roman" , serif; font-size: 12pt;"> </span><span style="font-family: "times new roman" , serif; font-size: 12pt;">= hambatan (ohm)</span></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "times new roman" , serif; font-size: 12pt;"> Z = impedansi (ohm)</span></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "times new roman" , serif; font-size: 12pt;"><br /></span></div>
<div style="text-align: justify; text-indent: 0px;">
<span style="font-family: "times new roman" , serif;"><span style="background-color: white;"> <span style="color: blue;"><b> 3.1. </b></span></span></span><b><span lang="SV"><span style="color: blue;">Rangkaian seri R-L :</span></span></b></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV"> Pada
gambar dibawah ini menunjukkan sebuah
hambatan murni R dirangkai<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV"> seri
dengan inductor L dihubungkan pada listrik AC.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV"> Dalam
rangkaian ini diketahui bahwa :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;"> ►</span><span lang="SV"> arus i sefase dengan tegangan V<sub>R</sub><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 0.25in;">
<span lang="SV" style="font-family: "arial" , "sans-serif"; mso-ansi-language: SV;"> ► </span><span lang="SV">arus i ketinggalan 90<sup>0</sup> oleh tegangan V</span><br />
<span lang="SV"><br /></span>
<span lang="SV"><img height="175" src="http://elektronika-dasar.web.id/wp-content/uploads/2013/07/Rangkaian-R-L-Seri.jpg" width="400" /></span><br />
<span lang="SV"><span style="font-size: 13.3333px;"> Kurva Seri VR , VL thd I Diagram Fasor</span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih1Uqt6_p2UpdC7sYSgw6mvbcgJ_28_Fdmgt2whic_-uav6sOphCdddcdhmV2Vcj7kxqyHx-f2t-n9sFLd1sBCTAGukXDMGwQsqh4SeyGjR6h_h5yue6ZpTjzvWQDf6Zy5ne9ImoNCjr5r/s1600/rumus+seri+R-L.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih1Uqt6_p2UpdC7sYSgw6mvbcgJ_28_Fdmgt2whic_-uav6sOphCdddcdhmV2Vcj7kxqyHx-f2t-n9sFLd1sBCTAGukXDMGwQsqh4SeyGjR6h_h5yue6ZpTjzvWQDf6Zy5ne9ImoNCjr5r/s320/rumus+seri+R-L.jpg" width="320" /></a></div>
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Impedansi Z = V / I<br />
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Faktor Daya (<b><span lang="SV" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: SV; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US;">Cos </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US;">θ ) = R/Z =VR/V</span></b><br />
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: SV; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US;"></span></b></div>
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<span style="font-family: "verdana" , sans-serif;"><span style="text-align: -webkit-left; text-indent: -17.4px;"><span style="font-family: verdana, sans-serif; font-weight: bold;"> </span><b><span style="color: blue; font-family: Times, Times New Roman, serif;"> 3.2. </span></b></span></span><span lang="SV" style="font-size: 12pt;"><b><span style="color: blue; font-family: Times, Times New Roman, serif;">Rangkaian seri R-C :</span></b></span><br />
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<span lang="SV"> Suatu hambatan murni yang dirangkai seri dengan
kapasitor yang mempunyai<o:p></o:p></span></div>
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<span lang="SV">
kapasitas C dihubungkan dengan tegangan AC.<o:p></o:p></span></div>
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<span lang="SV"> Dalam rangkaian ini
diketahui bahwa :<o:p></o:p></span></div>
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<span lang="SV" style="font-family: "Arial","sans-serif"; mso-ansi-language: SV;">►</span><span lang="SV"> arus i sefase dengan tegangan V<sub>R</sub><o:p></o:p></span></div>
<span style="font-family: "verdana" , sans-serif;">
</span><br />
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<span lang="SV" style="font-family: "Arial","sans-serif"; mso-ansi-language: SV;">► </span><span lang="SV">arus i mendahului 90<sup>0</sup> terhadap
tegangan V<sub>C</sub></span></div>
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<span lang="SV"><a href="http://elektronika-dasar.web.id/wp-content/uploads/2013/07/Rangkaian-R-C-Seri.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="167" src="http://elektronika-dasar.web.id/wp-content/uploads/2013/07/Rangkaian-R-C-Seri.jpg" width="400" /></a></span></div>
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<span lang="SV"><sub><br /></sub></span></div>
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<span lang="SV"><sub> Kurva Seri VR , VC thd I Diagram Fasor</sub></span></div>
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<img height="240" src="http://image.slidesharecdn.com/arusdanteganganac-141021192946-conversion-gate02/95/arus-dan-tegangan-ac-rangkaian-rlc-10-638.jpg?cb=1413919849" width="320" /> </span></div>
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<span style="font-family: Times, Times New Roman, serif;">Impedansi Z = V / I</span></div>
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<span style="font-family: Times, Times New Roman, serif;"></span><br />
<span style="font-family: Times, Times New Roman, serif;">Faktor Daya (<span lang="SV" style="font-size: 12pt;">Cos </span><span style="font-size: 12pt;">θ ) = R/Z =VR/V</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj_D3mCwfCg1fmFCEmiJkZ3_DtxV1PTsZ8Y7GVOl8O0nJPmf6vH6FhtBNLT9KZsA-_YLyd8ooX0z_1S2qNfI0HBcdHzzeHl16qnMDIggoAQsDr7N34FVJ-vtbF1DMIZXORyCk5CuidbfwO/s1600/rangkaian-seri-R%252C+L+pd+AC-3-638.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: left;"><br /></a><span style="font-family: "verdana" , sans-serif;"><b><span style="text-align: -webkit-left; text-indent: -17.4px;"><br /></span></b></span></div>
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<br />Anonymoushttp://www.blogger.com/profile/07636368241982860432noreply@blogger.com0tag:blogger.com,1999:blog-9151747248711040009.post-45115102905477554242016-01-20T18:57:00.000+07:002016-02-02T14:10:04.210+07:00Materi 1. MEDAN MAGNET<div style="text-align: center;">
<span style="font-size: large;">MEDAN MAGNET</span></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: left;">
<span style="font-size: large;">Pokok Bahasan :</span></div>
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<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;"> Memahami gejala kemagnetan</span></div>
<span lang="IN" style="font-family: "bookman old style" , "serif"; font-size: 10.0pt;">Menerapkan hukum-hukum kemagnetan dengan melakukan perhitungan sederhana</span><br />
<span style="font-size: large;"><span lang="IN" style="font-family: "bookman old style" , "serif";">Materi Pembelajaran :</span></span><br />
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<a name='more'></a><br /></div>
<b><span style="font-family: "verdana" , sans-serif;"><span style="font-size: small;"> 1. Medan magnet dari
kutub-kutub magnet</span></span></b><br />
<div style="text-align: left;">
<b><span style="font-family: "verdana" , sans-serif;"> a. Gaya Coulomb ( Hukum Coulomb )</span></b></div>
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<span style="font-family: "verdana" , sans-serif;"><span lang="IN">Berdasarkan
hukum Coulomb besarnya gaya tarik atau gaya tolak dinyatakan sebagai berikut :<span style="mso-tab-count: 2;"> </span></span></span></div>
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<span style="font-family: "verdana" , sans-serif;"><span lang="IN"><span style="mso-tab-count: 2;"> </span><span style="mso-tab-count: 1;"> </span></span></span></div>
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<span lang="IN"><span style="mso-tab-count: 1;"> <span style="font-family: "verdana" , sans-serif;"><span style="font-size: large;"> </span></span></span><span style="font-family: "verdana" , sans-serif;"><span style="font-size: large;"><b>F
= k . <u>m<sub>1</sub> . m<sub>2</sub></u></b></span></span></span></div>
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</span></span><br />
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<span style="font-family: "verdana" , sans-serif;"><span style="font-size: large;"><b><span lang="IN"> r<sup>2</sup></span></b></span></span></div>
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<br /></div>
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<span lang="IN">Keterangan :</span></div>
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<span lang="IN"><span style="mso-tab-count: 2;"> </span>F
<span style="mso-spacerun: yes;"> </span>= gaya tarik/ gaya tolak ( Newton )</span></div>
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<span lang="IN"><span style="mso-spacerun: yes;"> </span><span style="mso-tab-count: 2;"> </span><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>4π</span></div>
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<span lang="IN">μ o =<span style="mso-spacerun: yes;"> </span>4π<span style="mso-spacerun: yes;"> </span>x
10<sup>-7</sup> (weber / ampere meter)</span></div>
<div class="MsoNormal" style="margin-left: 1.0in;">
<span lang="IN"><span style="mso-spacerun: yes;"> </span>( permeabilitas ruang hampa )</span></div>
<div class="MsoNormal" style="margin-left: 1.0in;">
<span lang="IN">m<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>= kuat
kutub ( ampere meter )</span></div>
<div class="MsoNormal" style="margin-left: 1.0in;">
<span lang="IN">r <span style="mso-spacerun: yes;"> </span>= Jarak kutub ( meter )</span></div>
<div class="MsoNormal" style="margin-left: 1.0in;">
<span lang="IN"><span style="mso-spacerun: yes;"> </span></span><b><span lang="IN"><sup> </sup></span></b></div>
<b><br /></b>
<br />
<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/938x_1hsPgU/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/938x_1hsPgU?feature=player_embedded" width="320"></iframe></div>
<b><br /></b>
<b> Ilustrasi Medan Magnet</b><br />
<br />
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<span lang="IN">Contoh
:</span></div>
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<span lang="IN">Dua
buah magnet yang sejenis mempunyai kuat kutub 2 A.m dan 4 A.m , terpisah pada
jarak 20 cm . Berapakah besar gaya tolak yang di timbulkan? ( k = 10 <sup>-7</sup>
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<br />
<div class="MsoNormal" style="text-align: justify; text-indent: 27.0pt;">
<span style="font-family: "verdana" , sans-serif;"><b><span lang="IN">b. Sifat Magnet Bahan </span></b></span></div>
<div class="MsoNormal" style="text-align: justify; text-indent: 27.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 45.0pt;">
<span lang="IN">Macam – macam bahan
logam di tinjau dari sifat kemagnetan adalah:</span></div>
<div class="MsoNormal" style="margin-left: 45.0pt;">
<b><span lang="IN">a. <span style="mso-spacerun: yes;"> </span>Bahan Diamagnetik</span></b></div>
<div class="MsoNormal" style="margin-left: 63.0pt;">
<span lang="IN">Yaitu logam/bahan
yang sama sekali tidak dapat ditarik oleh magnet.</span></div>
<div class="MsoNormal" style="margin-left: 63.0pt;">
<span lang="IN">Contoh : Seng ( Zn)
, Emas (Au), Bismut ( Bi) , Perak ( Ag),</span></div>
<div class="MsoNormal" style="margin-left: 45.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: 45.0pt; text-align: justify;">
<b><span lang="IN">b. <span style="mso-spacerun: yes;"> </span>Bahan Paramagnetik</span></b></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<span lang="IN">Yaitu
logam / bahan yang dapat di tarik oleh magnet tetapi sangat lemah, karena dapat
menimbulkan induksi magnet cukup besar.</span></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<span lang="IN">Contoh
: Aluminium ( Al), Magnesium ( Mg), Tembaga ( Cu), Platina(Pt), Timah, Oksigen,
Udara, Kayu , Wolfram.</span></div>
<div class="MsoNormal" style="margin-left: 45.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: 45.0pt; text-align: justify;">
<b><span lang="IN">c. <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>Bahan Ferromagnetik</span></b></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<span lang="IN">Yaitu
logam/bahan yang sangat mudah ditarik oleh magnet, karena dapat menimbulkan
induksi magnet yang besar ( μ<span style="mso-spacerun: yes;"> </span>> μo ).</span></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<span lang="IN">Contoh
: Nikel (Ni) , Besi ( Fe) , Baja, Cobalt ( Co), Gadolinium.</span></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<span lang="IN">Sifat
kemagnetan logam ferromagnetik ini akan hilang bila suhunya mencapai <b>suhu Currie</b>
.</span></div>
<div class="MsoNormal" style="margin-left: 63.0pt; text-align: justify;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 63.0pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 480;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.95in;" valign="top" width="187"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Bahan
Ferromagnetik</span></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 2.0in;" valign="top" width="192"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Suhu Currie</span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.95in;" valign="top" width="187"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Cobalt</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 2.0in;" valign="top" width="192"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">1131<sup>o</sup>
C</span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 2;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.95in;" valign="top" width="187"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Besi</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 2.0in;" valign="top" width="192"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">770 <sup>o</sup>
C</span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.95in;" valign="top" width="187"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Nikel</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 2.0in;" valign="top" width="192"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">358 <sup>o</sup>
C</span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 4; mso-yfti-lastrow: yes;">
<td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.95in;" valign="top" width="187"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">Godolinium</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 2.0in;" valign="top" width="192"><div class="MsoNormal" style="text-align: justify;">
<span lang="IN">16<sup> o</sup> C</span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<br />
<span style="font-size: small;"><b> <span style="font-family: "verdana" , sans-serif;"> 2. Induksi Elektromagnetik</span></b></span><br />
<b></b><br />
<div class="MsoNormal" style="text-align: justify; text-indent: .25in;">
<b><span lang="IN"><span style="mso-spacerun: yes;"></span> a. Medan Magnet Oleh Arus Listrik</span></b></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .25in;">
<br /></div>
<div class="MsoNormal" style="margin-left: .5in; text-align: justify;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN">H</span></b><b style="mso-bidi-font-weight: normal;"><span style="mso-ansi-language: EN-US;">anc </span><span lang="IN">C</span></b><b style="mso-bidi-font-weight: normal;"><span style="mso-ansi-language: EN-US;">hristian</span> <span lang="IN">Oersted</span></b><span lang="IN"> adalah orang yang pertama kali menenmukan gejala , jika sebuah magnet
jarum di letakkan sekitar kawat berarus ternyata magnet jarum menyimpang.</span></div>
<div class="MsoNormal" style="margin-left: .5in;">
<br /></div>
<div class="MsoNormal" style="margin-left: .5in;">
<span lang="IN">Adapun percobaan
Oersted sebagai berikut :</span></div>
<br />
<br />
<br />
<br />
<br />
<iframe allowfullscreen="" frameborder="0" height="400" id="iframe_container" mozallowfullscreen="" src="https://prezi.com/embed/4nbtqx-hz-a7/?bgcolor=ffffff&lock_to_path=0&autoplay=0&autohide_ctrls=0&landing_data=bHVZZmNaNDBIWnNjdEVENDRhZDFNZGNIUE43MHdLNWpsdFJLb2ZHanI0bE1jRnRvY1pYWW1jR0RMS0I2RmI0RXZnPT0&landing_sign=IoT-cwewfGkZ_GUtfb6fszvnB4B5b4H5qft4fVwZNi4" webkitallowfullscreen="" width="550"></iframe>
<br />
<div style="text-align: center;">
<br />
<br />
<br />
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