Electrostatic Potential And Capacitance Ques 8

8. Three charges, each $+q$, are placed at the corners of an isosceles triangle $ABC$ of sides $BC, AC$ and $A B$. D and $E$ are the mid points of $B C$ and $CA$. The work done in taking a charge $Q$ from $D$ to $E$ is

[2011M]

(a) $\frac{3qQ}{8p \hat{I} _{0} a}$

(b) $\frac{qQ}{4p \hat{I} _{0} a}$

(c) Zero

(d) $\frac{3qQ}{4p \hat{I} _{0} a}$

Show Answer

Answer:

Correct Answer: 8.(c)

Solution:

  1. (c) $AC=BC$

$V_D=V_E$

We have,

$W=Q(V_D-V_E)$

$\Rightarrow W=0$