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A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it . A charge +q is now given to its positive plate. the potential difference across the capacitor is

 A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it . A charge +q is now given to its positive plate. the potential difference across the capacitor is

Grade:12th pass

2 Answers

Khimraj
3007 Points
2 years ago
initial condition
Q = CV
V = Q/C
final condition 
charge will redistribute and plates have charge Q + q/2 and -Q – q/2
so now V = (Q + q/2)/C = Q/C + q/2C = V + q/2C
Hope it clears.
Kushagra Madhukar
askIITians Faculty 629 Points
10 months ago
Dear student,
Please find the attached solution to your question.
 
Just after the cell is disconnected, the capicitor will have
Q = CV
V = Q/C
When +q charge is given to positively charged plate, it will redistribute and the plates would acquire the charges Q + q/2 and -Q – q/2 respectively.
Hence, The new potential difference across capacitor, V’ = (Q + q/2)/C = Q/C + q/2C = V + q/2C
 
Hope it helps.
Thanks and regards,
Kushagra

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