Question

A capacitor $C$ is charged to $V_0$ volts, a resistor $R$ is connected across it. The heat produced in the resistor is

• A. $C{V}_0^2$
• B. $2C{V}_0^2$
• C. $C{V}_0^2/2$
• D. $4C{V}_0^2$
• E. $C{V}_0^2/4$

Answer 1

Answer: (C)

$C{V}_0^2/2$

We know that energy of system is always conserved , it cannot be created or destroyed but can be change into another form from one form.

so The energy stored in the capacitor will be converted into heat produced across the resistor.

$\therefore$ Heat produced $=$energy stored in the capacitor $=\frac{C{V}_o^2}{2}$