Problem 3.204

The electrodes of a capacitor of capacitance $C=2.00 \mu \mathrm{F}$ carry opposite charges $q_{0}=1.00 \mathrm{mC} .$ Then the electrodes are interconnected through a resistance $R=5.0 \mathrm{M\Omega.}$ Find: (a) the charge flowing through that resistance during a time interval $\tau=2.00 \mathrm{~s}$ (b) the amount of heat generated in the resistance during the same interval.

\begin{aligned} & & 3.204 .(a) & q=q_{0}\left(1-e^{-\tau / R C}\right)=0.18 \mathrm{mC} ; & \text { (b) } Q=\\ =&\left(1-\mathrm{e}^{-2 \tau / R C}\right) q_{0}^{2} / 2 C &=82 \mathrm{~mJ} \end{aligned}

Electric Current