The electric potential at a point P due to two charges in fig (a) is `V_(1)` and in fig (b) is `V_(2)`. Consider the given object to be a ring. What is the relation between `V_(1) and V_(2)`? Explain your answer.

Explanation

`V_(1)=(1)/(4pi epsilon_(0)) ((2q)/(r ))` (where r is radius of rings)
`V_(2)=(1)/(4pi epsilon_(0))((2q)/(r )) rArr V_(1)=V_(2)`
As electric potential is a scalar quantity it depends only on the distance of the charge from point (P) and not on the direction of the location of the point.