Question

As in figure shown, if a capacitor $C$ is charged by connecting it with resistance $R$, then energy is given by the battery will be

• A. $\frac{1}{2}C{V}^2$
• B. More than $\frac{1}{2}C{V}^2$
• C. Less than $\frac{1}{2}C{V}^2$
• D. Zero

Answer 1

The correct option is C Less than $\frac{1}{2}C{V}^2$

The maximum stared by the capacitor is given by,

$u_{max}=\frac{1}{2}C{V}^2$

But when capacitor is charging with a resistor attached to it, a little extra energy will be required than $u_{max}$ to full charge the capacitor because resister is providing a resistance which make less in energy in form of heat.