Question

A 100 uF capacitor is charged to 200 volt. It is
discharged through a 2 ohm resistance. The
amount of heat generated will be:
(a) 0.4)
(b) 0.2 J
(c) 2J
(d) 4J
ir​

Answer 1

$option : \: (c) \: 2J$

Explanation:

$Given, \: \: \: C=100 \mu F \: \: \: and \: \: \: V=200V \\ we \: \: know \: \: \boxed{U= \frac{1}{2} CV^{2} } \\ Now, \: \: \:amount \: \: of \: \: heat = \frac{1}{2} \times 100 \mu F \times (200V)^{2} \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times 100 \times {10}^{ - 6} F \times 40000 \: {V}^{2} \\ = \frac{1}{2} \times 4 \times {10}^{ - 6} \times {10}^{6} \: F{V}^{2} \\ = \boxed{ 2 \: J}$