How does a capacitor store energy

Asked by maham237 @ in Physics viewed by 285 People

A charged capacitor stores energy U. Without connecting this capacitor to anything, dielectric having dielectric constant K is now inserted between the plates of the capacitor, completely filling the space between them. How much energy does the capacitor now store?

Answered by maham237 @


Answer:

U / K

Explanation:

The energy stored in the capacitor is given by

U=\frac{q^{2}}{2C}

where, q be the charge and C be the capacitance of the capacitor.

If a dielctric is inserted beteen the plates of capacitor having dielctric constant K, the new capacitance is C' = KC

The charge will remain same

The new energy stored is

U'=\frac{q^{2}}{2C'}

U'=\frac{q^{2}}{2KC}

U' = U / K

So, the energy reduces by the factor of K.


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