The capacitance of a parallel plate capacitor with air as medium is $6 \mu F$. With the introduction of a diel

Question

The capacitance of a parallel plate capacitor with air as medium is $6 \mu F$. With the introduction of a dielectric medium, the capacitance becomes $30 \mu F$. The permittivity of the medium is : ($\epsilon_0 = 8.85 	imes 10^{-12} C^2 N^{-1} m^{-2}$)

Accepted Answer

$C = KC_0$. $K = \frac{C}{C_0} = \frac{30}{6} = 5$. $K = \frac{\epsilon}{\epsilon_0}$. $\epsilon = K\epsilon_0 = 5 	imes 8.85 	imes 10^{-12} = 0.44 	imes 10^{-10} C^2 N^{-1} m^{-2}$

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