Three equal resistors are connected in parallel configuration in a clo

Three equal resistors are connected in parallel configuration in a closed electrical circuit. Then the total resistance in the circuit becomes

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one-third of the individual resistance.

two-third of the individual resistance.

equal to the individual resistance.

three times of the individual resistance.

Answer is Right!

Answer is Wrong!

This question was previously asked in

UPSC NDA-2 – 2021

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When resistors are connected in parallel, the total resistance is calculated using the formula for parallel resistances. If three equal resistors, each with resistance R, are connected in parallel, the reciprocal of the total resistance ($R_{total}$) is the sum of the reciprocals of the individual resistances: $1/R_{total} = 1/R + 1/R + 1/R = 3/R$. Therefore, $R_{total} = R/3$. The total resistance becomes one-third of the individual resistance.

For ‘n’ equal resistors each of resistance ‘R’ connected in parallel, the total resistance is $R_{total} = R/n$. In this case, n=3, so $R_{total} = R/3$.

In contrast, if the resistors were connected in series, the total resistance would be the sum of the individual resistances: $R_{total} = R + R + R = 3R$. Connecting resistors in parallel decreases the total resistance of the circuit, while connecting them in series increases it.

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