Q.

The electric potential at a point in an electric field is 0.5 V.  How much work has to be done to bring a charge of 3 C from infinity to that point?

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a

1 J

b

1.5 J

c

3 J

d

6 J

answer is B.

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Detailed Solution

Electric potential = 0.5 V
Charge = 3 C
Work done =?

We know that electric potential at a point is defined as the work done in bringing unit charge from infinity to the point.

Electric potential (V) = Work done(W)charge(Q)

Thus, the amount of work W, done in moving the charge is:

W = V ×Q
W = 0.5 V × 3 C
W = 1.5 J

Therefore, the amount of work W, done in moving the charge is 1.5 J.

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The electric potential at a point in an electric field is 0.5 V.  How much work has to be done to bring a charge of 3 C from infinity to that point?