Question

A $2\mu F$ capacitor charged to 100 volt and then its plates are connected by a conducting wire. The heat produced is :

• A. 1J
• B. 0.1J
• C. 0.01J
• D. 0.001J

Answer 1

The correct option is C 0.01J

$C=2\mu F,V=100V$...(given)

Energy stored in the capacitor after charging the capacitor by $100V$ is given by,

$\frac{1}{2}C{V}^2=\frac{1}{2}\times 2\times {10}^{-6}\times 100\times 100$
$={10}^{-2}J=0.01J$
when a conducting wire is connected to the capacitor, capacitor gets discharging and current starts flowing through conducting wire in the circuit.

$+v$ continues with $-v$ and total charge on capacitor becomes $0$.
$\therefore$ Whole energy is released as heat from the conducting wire.
$\therefore$ Heat produced in the conducting wire $=0.01J$