ElectrostaticsHard

Question

Two equal charges are fixed at x = - a and x = + a on the x-axis. Another point charge Q is placed at the origing. The change in the electrical potential energy of Q, when it is displaced by a small distance x along the x-axis, is approximately proportional to

Options

A.x
B.x2
C.x3
D.1 / x

Solution

            
  
and
Here,    
or        
for     x << a      ∴ ᐃU ∝ x2

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