Three charges, each $+q$, are placed at the corners of an isosceles triangle $A B C$ of sides $B C$ and $A C…

Three charges, each $+q$, are placed at the corners of an isosceles triangle $A B C$ of sides $B C$ and $A C, BC=AC=2 a . D$ and $E$ are the mid points of $B C$ and $C A$. The work done in taking a charge $Q$ from $D$ to $E$ is

1. $\frac{e q Q}{8 \pi \varepsilon_0 a}$
2. $\frac{q Q}{4 \pi \varepsilon_0 a}$
3. zero
4. $\frac{3 q Q}{4 \pi \varepsilon_0 a}$

Solution

$\text {Here, } A C=B C$ $\begin{aligned} & V_D=V_E=V \\ & W=Q\left[V_E-V_D\right] \\ & W=Q[V-V] \\ & W=0 \end{aligned}$ .

Asked in: NEET 2011 (Mains)

Practice more Electrostatics questions on Aicharya