Hard Dielectrics

Level 2

A cylindrical layer of dielectric with permittivity $\epsilon$ is inserted into a cylindrical capacitor to fill up all the space between the electrodes. The mean radius of the electrodes equals $R$ , the gap between them is equal to $d$ , with $d << R$ . The constant voltage $V$ is applied across the electrodes of the capacitor. Find the magnitude of the electric force pulling the dielectric into the capacitor.

\frac{\pi R(\epsilon -1)V^2}{d}

\frac{\pi (\epsilon -1)V^2}{\ln \frac{R_2-R_1}{R_1}}

\frac{\pi \epsilon_0 R(\epsilon -1)V^2}{d}

\frac{\pi (\epsilon -1)V^2}{\ln \frac{R_2}{R_1}}

1 solution

Pawan Goyal
Jun 3, 2019

@Kushal Thaman It's not tough. This coincides with a problem of Irodov.

Hard Dielectrics

1 solution

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