0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Derive an expression for energy stored in a capacitor. In which form energy is stored?

Solution
Verified by Toppr

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 = qC

Small amount of work doe in giving n additional charge dq to the capacitor is
dW= qCdq

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

W= Q0QCdq

W = Q2C

Energy = E
E= Q22C = CV22 = QV2
The energy is stored in the form of potential energy.

Was this answer helpful?
90
Similar Questions
Q1
Derive an expression for energy stored in a capacitor. In which form energy is stored?
View Solution
Q2
Derive an expression for the energy seated in a capacitor. In what form is the energy stored in a charged capacitor?
View Solution
Q3
Derive the expression for energy stored in a charged capacitor.
View Solution
Q4
In an inductor of inductance L, current passing is I0. Derive an expression for energy stored in it. In what forms is this energy stored?
View Solution
Q5
(a) Derive the expression for the energy stored in a parallel plate capacitor. Hence obtain the expression for the energy density of the electric field.
(b) A fully charged parallel plate capacitor is connected across an uncharged identical capacitor. Show that the energy stored in the combination is less than that stored initially in the single capacitor.
View Solution