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Electrostatic Potential and Capacitance
Dielectrics – Permittivity and Capacitance
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- permittivity from capacitance ratio
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2020 1 question
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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: ($\epsilon_0=8.85\times10^{-12}\ C^2N^{-1}m^{-2}$)$C = KC_0 \Rightarrow K = \frac{C}{C_0} = \frac{30}{6} = 5$ $K = \frac{\epsilon}{\epsilon_0} \Rightarrow \epsilon = K\epsilon_0 = 5 \times 8.85 \times 10^{-12}$ $\epsilon = 0.44 \times 10^{-10}\ C^2N^{-1}m^{-2}$
