A parallel plate capacitor of plate are A and plate separation d is charged by a battery of voltage V. The battery is then disconnected. The work need

Question

A parallel plate capacitor of plate are A and plate separation d is charged by a battery of voltage V. The battery is then disconnected. The work need

A parallel plate capacitor of plate are A and plate separation d is charged by a battery of voltage V. The battery is then disconnected. The work needed to pull the plates to a separation 2d is
A. `(Av^(2)epsilon_(0))/(d)`
B. `(2Av^(2)epsilon_(0))/(d)`
C. `(Av^(2)epsilon_(0))/(2d)`
D. `(3Av^(2)epsilon_(0))/(2d)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 3
`Q=DeltaU=(Q^(2))/(2C_(r))-(Q^(2))/(2C_(i))`
`=(Q^(2))/(2)((1)/(C_(r))-(1)/(C_(i)))`
`=(Q^(2))/(2)((2d)/(epsilon_(0)A)-(d)/(epsilon_(0)A))`
`=(Q^(2))/(2).(d)/(epsilon_(0)A)`
`=(in_(0)AV^(2))/(2d)`

5 views Answered 2023-02-05 15:29