Given :
We are given a sphere with a positive charge q with radius R = 0.700 m
The potential due to this charge at distance r = 1.20m is V =18V .
We are asked to calculate the potential at the center of the sphere .
The potential energy due to sphere is given by equation :-
V = 1 / 4π€° q/r = V = 1/r
At 1.20 m,
V = 18
V = kQ/1.20 m
so at the surface,
V' = kQ / 0.700m
Dividing the two gives
V / V' = 18.0V / V' = 0.700m / 1.20m
and so
V' = 30.8 V
Part A A solid conducting sphere has net positive charge and radius R = 0.700 m...
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