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Two parallel conducting plates of area A...

Two parallel conducting plates of area `A=2.5m^(2)` each are placed 6 mm apart and are both earthed. A third plate, identical with the first two, is placed at a distance of 2 mm from one of the earthed plates and is given a charge of 1 C. The potential of the central plate is

A

`6xx10^(7)V`

B

`3xx10^(7)V`

C

`4xx10^(7)V`

D

`2xx10^(7)V`

Text Solution

Verified by Experts

The correct Answer is:
A
The plates 1 and 2 will form one capacitor and plates 2 and 3 and another capacitor . These tow capacitor are in parallel. Their effective capacitance is `C = (epsi_(0)A)/(d) +(epsi_(0)A)/(2d) = (3)/(2) (epsi_(0)A)/(d)`
Potential of central plate, `V = (Q)/(C) = (Q2d)/(3 epsi_(0) A)`
` = (1xx 2xx 2 xx 10^(-3))/(3 xx 8.85 xx 10^(-12) xx 2.5)~~ = 6xx 10^(7)V`
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