When a number of resistors are connected in parallel, then their equivalent resistance is ______________ the smallest individual resistance.

less than

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same as

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sometime less and sometimes greater than

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greater than

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Solution

The correct option is A
less than

When a number of resistors say $R_{1}, R_{2}, R_{3}$ are connected in parallel, then their equivalent resistance $R_{e q}$ is given by
$\frac{1}{R_{e q}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}$
As seen from the formula, the equivalent resistance will be less than the smallest individual resistance.

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When a number of resistors are connected in parallel, then their equivalent resistance is ______________ the smallest individual resistance.

The correct option is A less than When a number of resistors say R1, R2, R3 are connected in parallel, then their equivalent resistance Req is given by 1Req=1R1+1R2+1R3 As seen from the formula, the equivalent resistance will be less than the smallest individual resistance.