Question

Derivation of resistances in parallel!

Answer 1

In a parallel connection of resistors, the current is different in each resistor.

I=I1+I2+I3 ----------(1)

By Ohm's law,

V=IR

I=V/R ----------(2)

By putting (2) in (1)

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

As the potential difference is equal in each resistor in a parallel connection, we are taking V as common.

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

V in left and right hand side get cancelled.

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

Hence, proved.

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