Energy Stored by Capacitor Video Lessons

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Problem: Consider a parallel-plate capacitor with plates of area A and with separation d. Find F(V), the magnitude of the force each plate experiences due to the other plate as a function of V, the potential drop across the capacitor. Express your answer in terms of given quantities and ϵ0.

FREE Expert Solution

The force between the plates is:

F=-ddr(U)

The average energy stored in a capacitor is:

U=12CV2

For a parallel plate capacitor, the capacitance is given by:

C=ε0Ad, where A is the cross-sectional area and d is the separation of the plates. 

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Problem Details

Consider a parallel-plate capacitor with plates of area A and with separation d. Find F(V), the magnitude of the force each plate experiences due to the other plate as a function of V, the potential drop across the capacitor. Express your answer in terms of given quantities and ϵ0.

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