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Q.

Separation are d, 2d and 3d , then the equivalent capacitance across A and area of each plate A and the successive B is

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a

3ε0A4d

b

ε0A4d

c

ε0A6d

d

ε0A3d

answer is B.

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Detailed Solution

Plates can be rearranged as shown in figure. Plates 1 and 2 and plates 3 and 4 form two capacitors which are in series between A and B. Plates 2 and 3 do not form any capacitor as they are at same potential.

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So Ceq=C1C2C1+C2=ε0Ad×ε0A3dε0Ad+ε0A3d

=ε0A4d

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