Three identical, parallel conducting plates A, .B and C are placed as shown in fig. Switches $$S1$$ and $$S2$$ open, and can connect A and C to earth when closed. $$+Q$$ charge is given to B.

Correct option is 2if S2 is closed with S2 open, a charge of amount Q will pass through S2

Questions

Three identical, parallel conducting plates A, .B and C are placed as shown in fig. Switches S₁ and S₂ open, and can connect A and C to earth when closed. +Q charge is given to B.

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if S1 is closed with S2 open, a charge of amount Q will pass through S1

if S2 is closed with S2 open, a charge of amount Q will pass through S2

if S1 and S2 are closed together, a charge of amount Q/2 will pass through S1 and a charge of amount Q/2 will pass through S2

all the above statements are incorrect

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detailed solution

Correct option is B

When either a or C is earthed, a parallel plate capacitor is formed with plate B. There will be ±Q charges on inner surfaces. So, a charge of amount +Q flows to earth. When A and C both are earthed together, the plates form two capacitors in parallel. Their capacities will be in the ratio 1:2 and hence they share the charge Q/3 which will pass through S1 and a charge 2 Q/3 which will pass through S2.

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