A cylindrical layer of dielectric with permittivity \( \varepsilon \) is inserted into a cylindr...

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A cylindrical layer of dielectric with permittivity \( \varepsilon \) 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 \( d \ll R \). Then constant voltage \( V \) is applied across the electrodes of the capacitor. Find the magnitude of the electric force pulling the dielectric into the capacitor.
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