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<h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3>
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<a href="/about/author.html" class="sidebar-link link">About the Author</a>
<a href="/about/school.html" class="sidebar-link link">About School</a>
<a href="/lessons" class="sidebar-link link">Lessons</a>
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<h4>Table of Contents</h4>
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<h1 class="banner-text" id="banner-txt">Coulomb's Law</h1>
<h3 class="banner-text" id="banner-txt">Chapter 2</h3>
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<div class="chip"><span>❓ Belum diverifikasi</span></div>
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<div><a href="coulomb.html" class="button"><i class="fa-solid fa-language"></i> Lihat dalam Bahasa Inggris</a></div>
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<section>
<h1 id="definition">Pengertian</h1>
<p><b>Hukum Coulomb adalah hukum yang menjelaskan hubungan antara dua muatan listrik.</b></p>
<p>Hukum ini menyatakan: "Apabila terdapat dua buah titik muatan maka akan timbul gaya di antara keduanya, yang besarnya sebanding dengan perkalian nilai kedua muatan dan berbanding terbalik dengan kuadrat jarak antar keduanya."<sup>[<a href="#reference-1" class="link-compact">1</a>]</sup></p>
<h1 id="formula">Rumus</h1>
<span>F = k <span class="frac"><sup>Q<sub>1</sub> × Q<sub>2</sub></sup><span>⁄</span><sub>r<sup>2</sup></span></span>
<p>
dimana,<br>
<ul>
<li><b>F</b> = Gaya (Newton)</li>
<li><b>r</b> = Jarak (Meter)</li>
<li><b>Q<sub>1</sub></b> = Muatan 1 (Coulomb)</li>
<li><b>Q<sup>2</sup></b> = Muatan 2 (Coulomb)</li>
<li><b>K</b> = Konstanta Coulomb = <strong>9 × 10<sup>9</sup></strong> <span style="color: gray; font-size: 1rem;">Nm<sup>2</sup> / C<sup>2</sup></span></li>
</ul>
</p>
<h1 id="units">Pengubahan Satuan Coulomb</h1>
<ol>
<li>n <b>mC</b> (<strong>milli</strong>Coulomb) = n * 10<sup>-3</sup> C</li>
<li>n <b>MC</b> (<strong>Micro</strong>Coulomb) = n * 10<sup>-6</sup> C <i>(Bentuk alternatif: μC)</i></li>
<li>n <b>nC</b> (<strong>nano</strong>Coulomb) = n * 10<sup>-9</sup> C</li>
<li>n <b>Å</b> (<strong>Ångström</strong>) = n * 10<sup>-10</sup> C</li>
</ol>
<h1 id="example">Contoh & Latihan</h1>
<ol></ol>
<ol>
<li>
<p>Temukan F.</p>
<img src="/assets/images/atoms/coulomb1.svg" alt=""><br>
<h2>Diketahui:</h2>
<p>
<strong>r</strong> = 30 cm = 0,3 m = <b>3 × 10<sup>-1</sup> m</b><br>
<strong>Q<sub>1</sub></strong> = 2 MC = <b>2 × 10<sup>-6</sup></b><br>
<strong>Q<sub>2</sub></strong> = 3 MC = <b>3 × 10<sup>-6</sup></b><br>
</p>
<h2>Cara:</h2>
<p>
<span>F = k <span class="frac"><sup>Q<sub>1</sub> × Q<sub>2</sub></sup><span>⁄</span><sub>r<sup>2</sup></span></span><br>
<span>F = 9 × 10<sup>9</sup><span class="frac"><sup>2 × 10<sup>-6</sup> ‧ 3 × 10<sup>-6</sup></sup><span>⁄</span><sub>(3 × 10<sup>-1</sup>)<sup>2</sup></span></span> = <span class="frac"><sup>9 × 10<sup>9</sup> ‧ 2 × 10<sup>-6</sup> ‧ 3 × 10<sup>-6</sup></sup><span>⁄</span><sub>9 × 10<sup>-2</sup></span></span><br>
= <span class="frac"><sup>10<sup>9</sup> ‧ 2 × 10<sup>-6</sup> ‧ 3 × 10<sup>-6</sup></sup><span>⁄</span><sub>10<sup>-2</sup></span></span> = <span class="frac"><sup>10<sup>-3</sup> × 6</sup><span>⁄</span><sub>10<sup>-2</sup></span></span><br>
= <strong>6 × 10<sup>-1</sup></strong>
</p>
</li>
<hr>
<li>
<p>Temukan F.</p>
<img src="/assets/images/atoms/coulomb2.svg" alt=""><br>
<h2>Diketahui:</h2>
<span id="m2"></span>
<h2>Cara:</h2>
<span id="m1"></span>
</li>
<script defer>
const m1 = document.getElementById("m1");
const m2 = document.getElementById("m2");
katex.render(String.raw`
\begin{aligned}
F &= k\dfrac{Q_1Q_2}{r^2}\\
&= 9 \times 10^9\dfrac{6 \times 10^{-6} \cdot 12 \times 10^{-6}}{9 \times 10^{-2}}\\
&= \dfrac{10^9 \cdot 6 \times 10^{-6} \cdot 12 \times 10^{-6}}{10^{-2}} = \dfrac{6 \cdot 12 \cdot 10^9 \cdot 10^{-6} \cdot 10^{-6}}{10^{-2}}\\
&= \dfrac{72 \cdot 10^{-3}}{10^{-2}}\\
&= 72 \times 10^{-1}
\end{aligned}
`, m1, {
throwOnError: true
});
katex.render(String.raw`
\begin{aligned}
r &= 30 \textnormal{ cm} = 0,3 \textnormal{ m} = 3 \times 10^{-1}\\
r^2 &= (3 \times 10^{-1})^2 = 9 \times 10^{-2}\\
Q_1 &= 6 \textnormal{ MC}\\
Q_2 &= 12 \textnormal{ MC}
\end{aligned}
`, m2, {
throwOnError: false
});
</script>
<hr>
<li>
<p>Jika F = 9 × 10<sup>9</sup>, temukan r.</p>
<img src="/assets/images/atoms/coulomb3.svg" alt=""><br>
<h2>Diketahui:</h2>
<span id="m3"></span>
<h2>Cara:</h2>
<span id="m4"></span>
</li>
<script defer>
const m3 = document.getElementById("m3");
const m4 = document.getElementById("m4")
katex.render(String.raw`
\begin{aligned}
F &= k\dfrac{Q_1Q_2}{r^2}\\
9 \times 10^9 &= 9 \times 10^9\dfrac{4 \times 10^{-3} \cdot 4 \times 10^{-3}}{r^2}\\
9 \times 10^9 r^2 &= 9 \times 10^9 \cdot 4 \times 10^{-3} \cdot 4 \times 10^{-3}\\
r^2 &= 4 \times 10^{-3} \cdot 4 \times 10^{-3}\\
&= 16 \times 10^{-6}\\
r &= \sqrt{16 \times 10^{-6}}\\
&= 4 \times 10^{-3}
\end{aligned}
`, m4, {
throwOnError: true
});
katex.render(String.raw`
\begin{aligned}
Q_1 &= 4 \textnormal{ mC}\\
Q_2 &= 4 \textnormal{ mC}\\
F &= 9 \times 10^9 \textnormal{ N}
\end{aligned}
`, m3, {
throwOnError: false
});
</script>
</ol>
<h1 id="references">Referensi</h1>
<ol>
<li id="reference-1">Andrew Duffy, <i><a href="http://physics.bu.edu/~duffy/PY106/Charge.html" class="link">"Electric charge and Coulomb's law"</a></i></li>
</ol>
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