The energy stored in the condenser is

Options

A. kinetic energy
B. potential energy
C. elastic energy
D. magnetic energy

Answer

To find the energy stored in a capacitor (condenser), we can follow these steps:

### Step 1: Understand the relationship between charge, capacitance, and voltage
The voltage (V) across a capacitor is related to the charge (Q) stored in it and its capacitance (C) by the formula:
\[ V = \frac{Q}{C} \]

### Step 2: Calculate the work done in charging the capacitor
When a capacitor is charged, work is done against the electric field. The work done (W) to charge the capacitor can be expressed as:
\[ W = \frac{1}{2} QV \]
Substituting \( V \) from Step 1:
\[ W = \frac{1}{2} Q \left(\frac{Q}{C}\right) = \frac{Q^2}{2C} \]

### Step 3: Express the energy stored in terms of capacitance and voltage
We can also express the energy (U) stored in the capacitor in terms of capacitance and voltage:
\[ U = \frac{1}{2} CV^2 \]
This is derived from the relationship between work done and energy stored.

### Step 4: Conclusion
The energy stored in the capacitor is in the form of potential energy. Therefore, the energy stored in the capacitor can be expressed as:
\[ U = \frac{1}{2} QV = \frac{Q^2}{2C} = \frac{1}{2} CV^2 \]

### Final Answer
The energy stored in the capacitor is potential energy.

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