# Epsilon varies as V

A parallel plate capacitor is filled by a dielectric whose relative permittivity varies with the applied voltage $$V$$ as $$\epsilon = \alpha V$$ where $$\alpha = 2V^{–1}$$. A similar capacitor with no dielectric is charged to $$V_0 = 78 V$$. It is then connected to the uncharged capacitor with the dielectric. Find the final voltage on the capacitors.

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