Two equal positive charges are kept at points A and B. The electric potential at the points between A and B (exculding these points ) is studid while moving from A to b. The potential

Options

A. continuously increases
B. continuously decreases
C. increases then decreases
D. decreases then increases

Answer

4

Explanation

`V_(P) = (1)/(4 pi in_(0)) [ (Q)/(x) + (Q)/(d - x)] = (Q)/(4 pi in_(0)) [ (d)/(x(d - x))]`
`x(d - x)` is maximum when `x = d - x rArr x = d//2`
At `x = d//2 ,V_(P)` is minimum
`x rarr 0 ,V_(P) rArr oo , x rarr d ,V_(P) rarr oo`
`A` to `B` ,potential decreases , reaching to minimum at mid-point and then increases.