The capacitance of a parallel plate capacitor with air as Medium is `6 muF`. With the introduction of a dielectric medium,the capacitance becomes `30muF`. The permittivity of the medium is:

Options

A. `0.44 xx10^(-13) C^2 N^(-1) m^(-2)`
B. `1.77 xx10^(-12) C^2 N^(-1) m^(-2)`
C. `0.44 xx10^(-10) C^2 N^(-1) m^(-2)`
D. `5.00 C^2 N^(-1) m^(-2)`

Answer

C

Explanation

`C=KC_0`
`K=C/C_0=30/6=5`
`K= epsilon/epsilon_0`
`epsilon=Kepsilon_0`
`=5 xx8.85 xx10^(-12)`
`=0.44 xx10^(-10) C^2 N^(-1) m^(-2)`