Question

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With the help of a suitable circut diagram prove that the reciprocal of the equivalent resistance of a grp of resistances joined in parallel is equal to the sum of the reciprocals of the individual resistances.

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Answer 1

A DETAILED, ACCURATE SOLUTION IS GIVEN ABOVE.

Answer 2

Answer:

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Explanation:

The potential difference across each resistor in a parallel combination is equal to the potential difference of the combination of resistors.

The total or net current in a parallel combination is equal to the sum of the current of individual resistors .

That is I = I1 + I2 + I3

=V/R= V/R1 + V/R2 + V/R3

=V/R=V(1/R1+1/R2+1/R3)

=1/R=1/R1+1/R2+1/R3