Question

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

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

Answer 1

Answer: (C)

$q=CV\left(1-e^{\frac{-t}{RC}}\right)$
$t=\infty q=CV$
Battery gives $CV$ charge
$W=C{V}^2$