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Q.

Three large plates are arranged as shown. How much charge will flow through the key k if it is closed?

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a

5Q/6

b

4Q/3

c

3Q/2

d

none

answer is A.

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Detailed Solution

q1+q2=2QVAB=VAC or q1C1=q2C2q1q2=C1C2=2 or q1=2q2Solving, we get q1=4Q3,q2=2Q3Charge flown through k is−Q2−−q1=−Q2+4Q3=5Q/6
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