section $13-7$ Transient Response

$13-16.$ After a considerable period of time in position $2,$ the switch in the circuit of Figure $13-26$ is thrown to position $1$ at $t=0.$

$($a$)$ Calculate $i_C$ and $d\frac{v_C}{dt}$ at $t=0.$

$($b$)$ How long must the switch remain in position $1$ for $v_C$ to rise to $100$ V $?$

$($c$)$ The switch is thrown to position $2$att$=5\mathrm{.}0$min. Calculate $i_c$ and $d\frac{v_C}{d}t$ as the switch makes contact in position $2.$

$($d$)$ If the switch returns to position $1$ at $t=5\mathrm{.}5$min, calculat Vc$($at $t=10$min.

Figure $13-26$