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Two conducting large plates P(1) & P(2) ...

Two conducting large plates `P_(1) & P_(2)` are placed parallel to each other at very small seperation 'd'. The plate area of either face of plate is A. A charge +2Q is given to plate `P_(1)` & -Q to the plate `P_(2)` (neglect ends effects). If plate `P_(1) & P_(2)` are now connected by conducting wire, then total amount of heat produced is

A

`(4Q^(2)d)/(3in_(0) A)`

B

`(9Q^(2)d)/(8in_(0) A)`

C

`(3Q^(2) d)/(8 in_(0) A)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`C=(varepsilon_(0)A)/d U_(i)=(1.5Q)^(2)/(2c)=(2.25Q^(2)d)/(2C)`
`Rightarrow U_(i) = (9Q^(2)d)/(8varepsilon_(0)A)`
After connecting
Heat `=U_(i)-U_(f)=(9Q^(2))/(dvarepsilon_(0)A)`
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Knowledge Check

  • In the above question, if plates P_1 and P_2 are connected by a thin conducting wire, then the amount of heat produced will be

    A
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    B
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    D
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    `V_(P_(1))-V_(P_(2))=(Qd)/(Aepsilon_(0))`
    B
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    C
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