Derive the expression for capacitance of a parallel plate capacitor with a dielectric medium of dielectric constant k between its plates. obtain also the expression for the energy stored in the above case

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Solution

The capacitance CC of a parallel plate capacitor is
C=AdC=Ad
Here is the permittivity of the medium between the plates, AA is the surface area of the plates, and dd is the separation between the plates. This simple equation ignores the effects of fringing fields, but for typical capacitors, this is a very good approximation.

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