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. $CV ^{2}$
• D. More than $C V^{2}$

Answer 1

Answer: (C)

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