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  4. An air parallel plate capactior has capacity C . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

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Q. An air parallel plate capactior has capacity $ C $ . When capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

Punjab PMETPunjab PMET 2005Electrostatic Potential and Capacitance

Solution:

Capacity of air parallel plate capacitor
$C=\frac{A \varepsilon_{0}}{d}$
Capacity of parallel plate capacitor when immersed in liquid and distance is doubled, is
$C'=\frac{K A \varepsilon_{0}}{2 d}$
or $2 C =\frac{K}{2} C$
$\left(\because C=\frac{A e_{0}}{d}\right)$
or $K =4$