(a) Two point chargesq_{1} and q_{2} are kept at a distance of r_{12} in air. Deduce the expression for the electrostatic potential energy of this system.

(b) If an external electric field (E) is applied on the system, write the expression for the total energy of this system.

 

 
 
 
 
 

Answers (1)

Work done in bringing q2 from infinity to a point

=q_2\times\frac{1}{4\pi\epsilon_0}\frac{q_1}{r_{12}}

The potential energy of the system

=\frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r_{12}}

b) Total energy of the system

=q_1V_1+q_2V_2+\frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r_{12}}

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