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Find the electrical potential at a point if $0.002 J$ work is to be done to bring a $40 μC$ charge from infinity to that point.

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51 V

50 V

60 V

55 V

answer is B.

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Detailed Solution

50 v

will be the electrical potential at a point if

0.002 J

work is to be done to bring a

40 μC

charge from infinity to that point.
Given data in the problem,
Charge,

q = 40 μC

And

40 μC

can written be as

40 \times 10^{- 6} C

Work done,

W = 0.002 J

So,
Electrical potential,

E_{P} = \frac{work done}{charge}

\Rightarrow E_{P} = \frac{0.002}{40 \times 10^{- 6}}

{\Rightarrow E}_{P} = \frac{2 \times 10^{6}}{40 \times 1000}

\Rightarrow E_{P} = \frac{200}{4}

\Rightarrow E_{P} = 50 volt

So, the electrical potential at that point is

50 V

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