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Three identical metallic plates are kept...

Three identical metallic plates are kept parallel to one another at a separation of a and b. The outer plates are connected by a thin conducting wire and a charge Q and 3Q is placed on the central plate and left plate respectively. Find electric field at P.

A

`a/(a+b)(Q/(Ain_(0)))`

B

`Q/(Ain_(0))`

C

`(3Q)/(Ain_(0))`

D

`b/(a+b)(Q/(Ain_(0)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Charge on outermost surface `(q_1+q_2+q_3)/2=2Q`
As A and B are connected `V_A=V_B`
`implies V_(AB)=0 implies q/(Ae_0) (a) ((Q+q)/(Ae_0))b=0`
`implies q=-(b/(a+b))Q and E_p=q/(A e_0)= b/(a+b) (Q/(Ae_0))`
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