Question

If total parallel resistance decrease why does potential difference decrease. please reply ASAP

Answer 1

★ if number of resistor joining in parallel combination decrease then potential difference must be decrease.

Let five resistor join in parallel and current passing through it is I
then ,
equivalent resistance ( req)
1/req = 1/r + 1/r + 1/r + 1/r + 1/r

req = 5/r
then ,
potential ( V) = 5I/r

now , one resistance removed and keeping current through it is constant e.g I
then equivalent resistance ( r'eq)
1/r'eq = 1/r + 1/r + 1/r + 1/r

r'eq = 4/r

potential difference ( V' ) = 4I/r

you see V>V'

hence, decreasing the number of resistor in parallel then decrease potential energy .