ElectrostaticsEasy

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

Create a free account to view solution

View Solution Free
Topic: Electrostatics·Practice all Electrostatics questions

More Electrostatics Questions

Two charges $7\mu C$ and $- 2\mu C$ are placed at $( - 9,0,0)cm$ and $(9,0,0)cm$ respectively in an external field $E = ...Three point charge +q,-2q and +q are placed at point (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = a, y = 0, z =...Two large vertical and parallel metal plates having a separation of 1cm are connected to a DC voltage source of potentia...The potential difference between the surface of charged sphere (radius R) and the distance 3R from the surface of sphere...15 joule of work has to be done against an existing electric field to take a charge of 0.01 C from A to B. Then the pote...