Question

The figure shows two arcs of a circle on which charges +Q and -Q have been spread uniformly. What is the value of the electric potential at the center of the circle?

Answer 1

let radius of circal is R

and V is the scalar quantity it doesnot depend on the dirction

so

$V=\frac{kq}{r}$

r is the distance of charge from the point

potential by -Q charge on center is V

$V=\frac{k(-Q)}{r}$

becuse distance is same so there is no effect of distribution because of scalar quantity

by +Q charge

$V=\frac{k(+Q)}{r}$

so V_total at the center is sum of both

V_total=0