A parallel plate capacitor filled with oil of a dielectric constant 3 between the plates has capacitance '…
A parallel plate capacitor filled with oil of a dielectric constant 3 between the plates has capacitance ' $C$ '. If the oil is removed, then the capacitance of the capacitor will be
$\frac{\mathrm{C}}{\sqrt{3}}$
$3 \mathrm{C}$
$\sqrt{3} \mathrm{C}$
$\frac{C}{3}$
Solution
$\mathrm{C}=\frac{\mathrm{K} \varepsilon_0 \mathrm{~A}}{\mathrm{~d}}=\frac{3 \varepsilon_0 \mathrm{~A}}{\mathrm{~d}}$
After removing the oil, capacitance becomes
$\mathrm{C}^{\prime}=\frac{\varepsilon_0 \mathrm{~A}}{\mathrm{~d}}=\frac{\mathrm{C}}{3}$