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Q.

The electric intensity at a point at a distance 2m from charge q is E. The amount of work done in bringing a charge of 2C from infinity to this point will be (in S.I. units)

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a

E/2

b

2E

c

4E

d

E/4

answer is B.

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Detailed Solution

$\begin{array}{l} E = \frac{1}{4 {πε}_{0}} \frac{q}{2^{2}}, V = \frac{1}{4 {πε}_{0}} \frac{q}{2} \\ W = {Vq}^{'} = \frac{1}{4 {πε}_{0}} \frac{q}{2} \times 2 = 4 E . \end{array}$

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The electric intensity at a point at a distance 2m from charge q is E. The amount of work done in bringing a charge of 2C from infinity to this point will be (in S.I. units)