Published by:
CGP EDU Academic Team
Published on: September 12, 2026
20 J of work has to be done against an existing electric field to take a charge of 0.05 C from A to B. How much is the potential difference V B – V A ?
Text Solution
Verified by ExpertsThe correct answer is:
D
To find the potential difference (;V) between points A and B, we can use the formula for electric work done:
W = Q ;V,
where:
;V = \frac{W}{Q}
Substituting the provided values:
;V = \frac{20 ext{ J}}{0.05 ext{ C}} = 400 ext{ V}
Therefore, the potential difference VB - VA is 400 V.
Thus the answer is option D: 400 V.
W = Q ;V,
where:
- W is the work done (in Joules),
- Q is the charge (in Coulombs),
- ;V is the potential difference (in Volts).
;V = \frac{W}{Q}
Substituting the provided values:
;V = \frac{20 ext{ J}}{0.05 ext{ C}} = 400 ext{ V}
Therefore, the potential difference VB - VA is 400 V.
Thus the answer is option D: 400 V.
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