Question

Drive the expression for energy stored in capacitor​

Answer 1

Answer:

A charged Capacitor is a store of electrical potential energy.

To find the energy stored in a capacitor, let us consider a capacitor of capacitance C, with a potential difference V between the plates.

There is  a charge +q on one plate and –q on the other.

Suppose the capacitor is charged gradually. At any stage ,the charge on the capacitor is q.

Potential of capacitor =q/C.

Small amount of work done in giving an additional charge dq to the capacitor is

dW=q/C *dq

total work done in giving a charge Q to the capacitor is q.

Q=Q

W=1/C Q2/2

Energy stored in the capacitor

U=W=1/2 Q2/C

Put                                           Q=CV

U=1/2 (CV)2/C =1/2 CV2

Put                                              CV=Q

U=1/2 QV

Thus,                    U=1/2 Q2/C =1/2 CV2=1/2 QV

When Q is in coulomb,V is in Volt ,C is in fared .Energy U is in joule.

Energy stored in a capacitor is in the form of electric field energy in the charged capacitor and it resides in the dielectric medium between the plates.

Answer 2

Answer:

The energy stored in a capacitor can be expressed in three ways: Ecap=QV2=CV22=Q22C E cap = Q V 2 = C V 2 2 = Q 2 2 C , where Q is the charge, V is the voltage, and C is the capacitance of the capacitor. The energy is in joules for a charge in coulombs, voltage in volts, and capacitance in farads

I HOPE THIS WILL HELP

Explanation: