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Two large conducting plates, identical i...

Two large conducting plates, identical in size, are placed parallel to each other at a separation d. Each plate has area A. One of the plates is cut into two equal parts and then a battery of emf V is connected across these two pieces. Find the work done by the battery in supplying charge to the plates.

Text Solution

Verified by Experts

The correct Answer is:
`(in_(0)A)/(4d)V^(2)`
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Knowledge Check

  • Two large conducting plates are placed parallel to each other with a separation of d between them. An electron starting from rest near one of the plates reaches the other plate in time t. If e is the charge on the electron and m is its mass, then the surface charge density on the inner surface is

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    `( d m epsilon_(0)) /(4 pi et^(2))`
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    `(2 d m epsilon_(0))/(et^(2))`
    D
    None of the above

  • Two plates, each of area A, are placed parallel to each other at a distance d. One plate is connected to a battery of emf E and its negative is earthed. The other plate is also earthed. The charge drawn by plate is

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  • Two identical conducting very large plates P_1 and P_2 having charges +4Q and +6Q are placed very closed to each other at separation d. The plate area of either face of the plate is A. The potential difference between plates P_1 and P_2 is

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    `V_(P_1) - V_(P_2) = (5Qd)/(Aepsilon_0)`
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