Three resistors R_{1},R_{2},and R_{3} are con | vedclass

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(C) When resistors are connected in parallel,the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resi

Vedclass · Accepted Answer

$\frac{R_{1}R_{2}R_{3}}{R_{1}R_{2} + R_{2}R_{3} + R_{3}R_{1}}$

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(C) When resistors are connected in parallel,the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.For three resistors $R_{1}$,$R_{2}$,and $R_{3}$ connected in parallel,the formula is:$\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}$To find $R$,we take the reciprocal of the sum:$R = \frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}}$$R = \frac{R_{1}R_{2}R_{3}}{R_{1}R_{2} + R_{2}R_{3} + R_{3}R_{1}}$Since the provided options were incomplete or incorrect regarding the final expression for $R$,the correct relationship is defined by the sum of reciprocals.

Three resistors $R_{1}$,$R_{2}$,and $R_{3}$ are connected in parallel between points $A$ and $B$. The equivalent resistance $R$ is given by:

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