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A parallel plate condenser is filled wit...

A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is `A "metre"^(2)` and the separtion is `t` metre. The dielectric constants are `K_(1)` and `K_(2)`, respectively. Its capacitance in farad will be

A

`(epsilon_0A)/t (k_1+k_2)`

B

`(epsilon_0A)/t (k_1+k_2)/(2)`

C

`(2epsilon_0A)/t (k_1+k_2)`

D

`(epsilon_0A)/t (k_1-k_2)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`C_(eq)=C_1+C_2=(A/2epsilon_0k_1)/t+(A/2epsilon_0k_2)/t`
`=(Aepsilon_0)/(2t)(k_1+k_2)`
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