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The capacitance of a parallel plate capa...

The capacitance of a parallel plate capacitor with air as medium is `3 muF.` with the introduction of a dielectric medium between the plates, the capacitance becomes `15mu F.` The permittivity of the medium is

A

`5C^(2)N^(-1)M^(-2)`

B

`15C^(2)N^(-1)m^(-2)`

C

`0.44xx10^(-10)C^(2)N^(-1)m^(-2)`

D

`8.854xx10^(-11)C^(2)N^(-1)m^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Capacitance of parallel pate capacitor with air is `C = (epsi_(0)A)/(d)`
Capacitance of a same parallel plate capacitor with the introduction of a dielectric medium is ` C = (K epis_(0)A)/(d)`
where k is the dielectric constant of a medium
` or (C)/(C) = k or K = (15)/(3) = 5 or k = (epsi)/(epsi_(0))`
or ` epsi = Kepsi_(0) = 5 x 8.854 xx 10^(-12) = 0.4xx 10^(-10) C^(2)N^(-1) m^(2)`
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