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Question

A parallel plate condenser is filled with two dielectrics as shown.


Area of each plate is A m2 and the separation is t m. The dielectric constants are k1 and k2 respectively. Its capacitance in farad will be


A
εoAt(k1+k2)
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B
εoA2t(k1+k2)
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C
2εoAt(k1+k2)
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D
εoA2t(k1k2)
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Solution

The correct option is B εoA2t(k1+k2)
Two dielectrics act as the two capacitors in parallel. So capacitance is given by
C = C1 + C2 = k1εoA2t + k2εoA2t =εoA2t(k1+k2)

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