Question

The type of energy possessed by the charged capacitor is

Answer 1

Answer:

The type of energy possessed by the charged capacitor is ELECTROSTATIC.

Answer 2

Answer:

The energy stored in the charged capacitor is electrostatic potential energy.

Explanation:

When we connect the battery across the two plates of a capacitor, the work done by charging the capacitor. As the capacitor charged, the potential difference between the plates increases.

The work done in the charging capacitor is stored in the form of electrical energy.

Consider that a capacitor of capacitance C. Suppose capacitor does not charged initially. by connecting to battery it charged to potential V. If q is the charge on the plate of capacitor at that time,

q = CV

Suppose that battery supplies small charge 'dq' to capacitor at constant potential V. The small work done by battery is:

$dW=Vdq=\frac{q}{C}dq$

Therefore, the amount of the work done in delivering charge 'q' is given by:

$W=\int\limits^q_0 {\frac{q}{C} } \, dq=\frac{1}{C} \int\limits^q_0 {q} \, dq$

$W=\frac{1}{C}\big |\frac{q^2}{2}\big |^q_{0}$

$W=\frac{1}{2}\frac{q^2}{C}$

The work done is stored inside the capacitor in the form of electrical potential energy.

$U=\frac{1}{2}\frac{q^2}{C}$

Now, we know that $q=CV$ substitute in above equation;

$U=\frac{1}{2} \frac{(CV)^2}{C}$

$U=\frac{1}{2}CV^2$

Therefore, the energy stored in a charged capacitor in the form of electrical potential energy.