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  4. The capacitance of a parallel plate capacitor with air as medium is 6 μ F. With the introduction of a dielectric medium, the capacitance becomes 30 μ F. The permittivity of the medium is: (ϵ0 = 8.85 × 10-12 C2N-1m-2)

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Q. 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 :
$(\epsilon_0 = 8.85 \times 10^{-12} C^2N^{-1}m^{-2}$)

NEETNEET 2020Electrostatic Potential and Capacitance

Solution:

$C=KC_{0}$
$K=\frac{C}{C_{0}}$
$=\frac{30}{6}=5$
$K=\frac{\varepsilon}{\varepsilon_{0}}$
$\varepsilon=K\,\varepsilon_{0}$
$=5 \times 8.85\times 10^{-12}$
$=0.44 \times 10^{-10}\,C^{2}\,N^{-1}\,m^{-2}$