Derivation of energy stored in a capacitor ?

Asked by javed akhtar | 15th Jul, 2013, 06:13: PM

Expert Answer:

Energy Stored in a Charged Capacitor

The energy of a charged capacitor is measured by the total work done in charging the capacitor to a given potential.

Let us assume that initially both the plates are uncharged. Now, we have to repeatedly remove small positive charges from one plate and transfer them to the other plate.

Let

q ?Total quantity of charge transferred

V ?Potential difference between the two plates

Then,

qCV

Now, when an additional small charge dqis transferred from the negative plate to the positive plate, the small work done is given by,

The total work done in transferring charge Qis given by,

This work is stored as electrostatic potential energy Uin the capacitor.

Answered by  | 16th Jul, 2013, 11:59: AM

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