Question

Derive the formula of equivalent resistance for the parallel combination of resistors.
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Answer 1

Answer:

by the ohm's law we know that

R=V/I.(1)

also I=V/R

and in parallel combination

I=I1+I2+I3.(2)

I1=V1/R1(.3)

I2=V2/R2.(4)

I 3=V3/R3.(5)

putting value of of current in equation to from 3,4,5

V/R=V1/R1+V2/R2+V3+R3....

taking V as common

1/Rp=1/R1+1/R2+1/R3...

show the equivalent resistance in parallel combination is equals to reciprocal of various resistance

Answer 2

Derive the formula of equivalent resistance for the parallel combination of resistors.
Answer