vault backup: 2025-10-14 18:00:22
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@@ -139,16 +139,16 @@ where
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The equivalent resistance of parallel resistances is given by
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$$
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\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \dots
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\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \dots + \frac{1}{R_n}
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$$
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For $P$ parallel resistances of value $R$
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For $n$ parallel resistances of value $R$
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$$
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\begin{align*}
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\frac{1}{R_{\text{eq}}} &= P \times \left(\frac{1}{R}\right) \\
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&= \frac{P}{R} \\
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R_{\text{eq}} &= \frac{R}{P}
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\frac{1}{R_{\text{eq}}} &= n \times \left(\frac{1}{R}\right) \\
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&= \frac{n}{R} \\
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R_{\text{eq}} &= \frac{R}{n}
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\end{align*}
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$$
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