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A parallel plate condenser is filled with two dielectric as shown in fig. Area of each plate is A metre2 and the separation is d metre. The dielectric constants are K1 and K2 respectively. Its capacitance is farad will be

a
ε0AdK1+K2
b
ε0AdK1+K22
c
ε0Ad2K1+K2
d
ε0AdK1−K22

detailed solution

Correct option is B

The combination is equivalent to two capacitors in parallel each with plate area A/2 and separation d. See fig.Thus,  C1=K1εe(A/2)d=K1ε0A2d           C2=K2ε0(A/2)d=K2ε0A2dThe equivalent capacitance C is given byC=C1+C2=K1ε0A2d+K2ε0A2d=ε0AdK1+K22

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