Three charges, each \[+q,\] are placed at the comers of an isosceles triangle ABC of sides Be and AC, 2a. D and E are the mid points of Be and CA. The work done in taking a charge Q from D to E is [AIPMT (M) 2011] |
A) \[\frac{eqQ}{8\pi {{\varepsilon }_{0}}a}\]
B) \[\frac{qQ}{4\pi {{\varepsilon }_{0}}a}\]
C) zero
D) \[\frac{3qQ}{4\pi {{\varepsilon }_{0}}a}\]
Correct Answer: C
Solution :
[c] Here, \[AC=BC\] |
\[{{V}_{D}}={{V}_{E}}=V\] |
\[V=Q[{{V}_{E}}-{{V}_{D}}]\] |
\[W=Q\,[V-V]\] |
\[W=0\] |
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