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Question


Find equivalent capacitance of system if plate area is A.
[Dielectric slab of constant 2K and K are of same volume and half of the volume of the slab of constant 3K.]


Your Answer
A
5 ϵ0AKd
Correct Answer
B
136ϵ0AKd
Your Answer
C
6 ϵ0AKd
Your Answer
D
157ϵ0AKd

Solution

The correct option is B 136ϵ0AKd

C1=ϵ0AK2d2=ϵ0AKd
C2=ϵ0A 2K2d2=2ϵ0AKd
C3=ϵ0A 3K2×d2=3ϵ0AKd


C4=C32=32ϵ0AKd & C5=C1C2C1+C2
Ceq=C4+C5=32ϵ0AKd+23ϵ0AKd
Ceq=136ϵ0AKd

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