In a parallel combination, the reciprocal of the equivalent resistance is

the sum of resistances.

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the sum of the reciprocal of individual resistances.

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the largest resistance among them.

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none of above.

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Solution

The correct option is B the sum of the reciprocal of individual resistances.
In a parallel combination with n resistors $R_{1}, R_{2}, . . . . . R_{n}$ , the equivalent resistance $R_{e} = \frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}} . . . . . . . . . . + \frac{1}{R_{n}}}$
So $\frac{1}{R_{e}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} . . . . . . . . . . + \frac{1}{R_{n}}$

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

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