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Q.

A dielectric is completely filled between the space of a parallel plate capacitor. The separation between plates of capacitor is ‘d’ and dielectric constant is given by k=k0eλx where 'k0' and 'λ' are positive constants and x is distance from one plate of capacitor. If distance between plate (d) increases slowly then graph between capacitance of capacitor and distance between plate is given by

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a

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b

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c

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d

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answer is A.

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Detailed Solution

dC=kε0Adx

1Ceqv=1dC

=1kε0Adx=0d1k0eλxε0Adx, 

Ceq=λk0ε0A1eλd

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