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$20 mJ$ work is to be done in moving a charge of $100 μC$ across two points in an electric circuit. Which of the will be the potential difference between these points?

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100 V

200 V

30 V

None of these

answer is B.

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Detailed Solution

20 mJ

work is to be done in moving a charge of

100 μC

across two points in an electric circuit. The potential difference between these points is

200 V .

Given, Work done in moving a charge is,

W = 20 mJ

= 20 \times 10^{- 3} J

Charge,

Q = 100 Coulomb

= 100 \times 10^{- 6} C

Therefore, Potential difference,

V = \frac{W}{Q}

= \frac{20 \times 10^{- 3}}{100 \times 10^{- 6}}

So, after solving above equation we get,

V = 200 V

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