Question

The stored energy of a capacitor charged to 100v is 1j. Capacitance of capacitor is:-​

Answer 1

Let the capacitance of capacitor is C.

given, voltage applied across the capacitor, V = 100v

energy stored in a capacitor , U = 1J

use the formula, energy stored in a capacitor, U = 1/2 CV²

1 J = 1/2 × C × (100)²

2 = C × 10000

C = 2 × 10^-4 F

hence, C = 200 × 10^-6 F = 200$\mu$F

therefore, capacitance of capacitor is $200\mu F$

Answer 2

Answer:

The capacitance of capacitor is $2\times 10^{-4}\ F$.

Explanation:

Given:

• Potential difference across the capacitor, $V = 100\ V$.

• The energy stored in the capacitor, $U = 1\ J$.

The energy stored in a capacitor is given by

$U = \dfrac 12 CV^2$.

where,

$C$ is the capacitance of the capacitor.

Therefore,

$C = \dfrac{2U}{V^2}\\=\dfrac{2\times 1}{100^2}\\=2\times 10^{-4}\ F.$