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Question
A work of 25 J and 30 J is done when 5 C charge is moved first to point A and then to point B from infinity. Calculate the potential difference between points A and B.
Solution
WA = 25 J; WB = 30 J
Work done to move the 5C charge from A to B = WB - WA
W = 30 - 26 = 5 J
Charge Q = 5 C
Potential difference between A and B
V = `"W"/"Q" = 5/5 = 1` V
V = 1 volt
OR
WA = 25 J
WB = 30 J, charge = Q = 5 C
Potential at point A = V1 = `"W"_"A"/"Q"`
V1 = `25/5 = 5` volt
Potential at point B = V2 = `"W"_"B"/"Q"`
V2 = `30/5 = 6`volt
Potential difference A and B = V = V2 - V1
V = 6 - 5 = 1 volt
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