Question

A capacitor is charge by a battery and the energy stored is u. The battery is now removed and the separation distacnce between the plates is doubled. The energy stored now is

Answer 1

concept of energy stored in a capacitor

Answer 2

Answer:

Explanation:

Concept:

Electrostatic potential energy, which is connected to the charge Q and voltage V between the capacitor plates, is the energy that is held in capacitors. The electrical field formed between the plates of a charged capacitor stores energy. The electrical field increases as the capacitor charges.

Given:

• A battery charges a capacitor, and the energy it stores is $U$.
• The spacing distance between the plates has doubled with the battery removed.

Find:

Let us find the stored energy.

Solution:

As we are known, a capacitor stores energy.

$U=\frac{q^{2}}{2 C}=\frac{q^{2} d}{2 \varepsilon_{0} A}$

i.e.$U \propto d$

Therefore, $2U$ worth of energy is stored in the capacitor once the distance between the plates is increased.

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