Question

Derive an expression for the energy stored in a capacitor. What is the energy stored when the
space between the plates in filled with dielectric​

Answer 1

Let us consider a capacitor of capacitance C and potential difference V between the plates.

Let the charge on one plate be +q and -q on the other.

Suppose the capacitor is being charged gradually.

Now,at any stage the charge on capacitor is q.

Therefore, the potential difference = q/C

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

dW = C/q × dq

Total work done in giving a charge Q to the capacitor is

W=∫dW ~~~~~~ (A) equation

Now, by putting the value of dW = C/q × dq in above equation (A) and integrating it and putting values of upper limit = Q and lower limit = 0 and thus integrating the whole equation we get,

W = Q^2/ C

Here let Energy= E

E= Q^2/ 2C

= C V^2 / 2

= QV/2

The energy is stored in the form of potential energy.

Hope that helps

Answer 2

Answer:

cell is fundamental structural and functional unit of life