ElectrostaticsHard

Question

Two equal positive charges are kept at points A and B. The electric potential, while moving from A to B along straight line :    

Options

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

Solution


Let the two charges at A & B are separated by distance 2 r.
Let us consider a general point ′M′ at distance
′x′ from point ′A′ in figure.
∴     Vm = Potential at M = +
∴     Vm = kQ
                    = kQ
For    Vm to be max. or min :     Vm
= 0
or   
∴   = 0
∴   x = r
&   At x = r,      ∴    x = r is min
Hence potential continuously decreases from A to P and then increases

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