What is the equivalent resistance of resistor | vedclass

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(C) When resistors $R_{1}$ and $R_{2}$ are connected in parallel,the reciprocal of the equivalent resistance $R_{eq}$ is equal to the sum of the recip

Vedclass · Accepted Answer

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

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(C) When resistors $R_{1}$ and $R_{2}$ are connected in parallel,the reciprocal of the equivalent resistance $R_{eq}$ is equal to the sum of the reciprocals of the individual resistances.The formula is given by: $\frac{1}{R_{eq}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$.To simplify this,we find a common denominator,which is $R_{1} R_{2}$.So,$\frac{1}{R_{eq}} = \frac{R_{2} + R_{1}}{R_{1} R_{2}}$.Taking the reciprocal of both sides,we get the equivalent resistance: $R_{eq} = \frac{R_{1} R_{2}}{R_{1} + R_{2}}$.

What is the equivalent resistance of resistors $R_{1}$ and $R_{2}$ connected in parallel connection?

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