Question

derive the formula of equivalent resistance of parallel

Answer 1

that's your answer. hope it helps.

Answer 2

Hii...

Here's your answer:
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Take 3 resistors R1 , R2 and R3 in parallel and connect a battery of emf = V .

In this case , the potential difference across the ends will be the same bt the current flowing will not be the same .

Total current ( i ) will be the sum of all currents through all 3 resistors i.e. i = i1 + i2 + i3 -- (1)


From ohm's law,

i = V/R

so,

i1 = V/R1

i2 = V/R2

i3 = V/R3


by putting the values of i1 , i2 and i3 in eqn (1)

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

V/R = V [ 1/R1 + 1/R2 + 1/R3 ]

{ V will get cancel out }



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



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hope this helps !