Find the amount of work done to transfer +Q coulomb of charge from A to B when 18 joule and 15 joule of work is done to bring 2 coulomb of charge from infinity to the points A & B respectively.
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Given :
Work done in bringing 2 C charge from infinIty to A = 18 J
Work done in bringing 2 C charge from infinty to B = 15 J
To find:
The amount of work done to transfer +Q coulomb of charge from A to B
Calculation :
We know the relation
Work done = potential difference × charge
Case 1 :
=> 18 = V_(A) × 2
=> V_(A) = 9 V
Case 2 :
=> 15 = V_(B) × 2
=> V_(B) = 7.5 V
Amount of work required to transfer +Q coulomb of charge from A to B is
=> Work done = potential difference × charge
=> Work done = [V_(B) - V_(A) ] × Q
=> Work done = (9-7.5) × Q
=> Work done = 2.5Q
The amount of work done to transfer +Q coulomb of charge from A to B is 2.5Q
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