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Q.

Two charged particles A and B of charges +2q and –q respectively are fixed at the positions shown in figure. A third charged particle of charge +4q is moved along the path CDE slowly. The work done by electric forces is

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a

$\frac{- q^{2}}{3 π ε_{0} r}$

b

$\frac{4 q^{2}}{3 π ε_{0} r}$

c

$\frac{q^{2}}{12 π ε_{0} r}$

d

$\frac{- q^{2}}{12 π ε_{0} r}$

answer is B.

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Detailed Solution

$W= (V_{c} {-V}_{E}) (4q) = \frac{{4q}^{2}}{{3πε}_{0} r}$

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Two charged particles A and B of charges +2q and –q respectively are fixed at the positions shown in figure. A third charged particle of charge +4q is moved along the path CDE slowly. The work done by electric forces is