vault backup: 2025-10-14 18:00:22

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2025-10-14 18:00:22 -04:00
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@@ -139,16 +139,16 @@ where
The equivalent resistance of parallel resistances is given by
$$
\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \dots
\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} + \dots + \frac{1}{R_n}
$$
For $P$ parallel resistances of value $R$
For $n$ parallel resistances of value $R$
$$
\begin{align*}
\frac{1}{R_{\text{eq}}} &= P \times \left(\frac{1}{R}\right) \\
&= \frac{P}{R} \\
R_{\text{eq}} &= \frac{R}{P}
\frac{1}{R_{\text{eq}}} &= n \times \left(\frac{1}{R}\right) \\
&= \frac{n}{R} \\
R_{\text{eq}} &= \frac{R}{n}
\end{align*}
$$