Question $2$

Consider the singular circuit containing one inductor, one capacitor and three resistors, as shown in Fig. $2.$ The voltage across the $5-$ resistor is $10$ V and the current across the $6-$ resistor is $1$ A $,$ prior to the opening of the switch. That is$,$ at time $t=0^{-}sec,v(0^{-})=10V$ and $i(0^{-})=1A.$ The switch is opened at $t=0sec.$

:$.,i_L=A$

$($a$)$ Determine the value of the inductor current just before the switch is opened, i$.$e$.,i_L(0^{-}).$

$($b$)$ Determine the value of the capacitor voltage just before the switch is opened, i$.$e$.,v_c(0^{-}).$

$($c$)$ Calculate the energy stored in the inductor prior to the opening of the switch.

$($d$)$ Find the current i immediately after the switch is opened, i$.$e$.,i(0^{+}).$

$($e$)$ Find the value of $di\frac{0^{+}}{d}t$ immediately after the switch is opened.

$2$

Question $2$

Consider the singular circuit containing one inductor, one capacitor and three resistors, as shown in Fig. $2.$ The voltage across the $5-$ resistor is $10$ V and the current across the $6-$ resistor is $1$ A $,$ prior to the opening of the switch. That is$,$ at time $t=0^{-}sec,v(0^{-})=10V$ and $i(0^{-})=1A.$ The switch is opened at $t=0sec.$

$($a$)$ Determine the value of the inductor current just before the switch is opened, i$.$e$.,i_L(0^{-}).$

$($b$)$ Determine the value of the capacitor voltage just before the switch is opened, i$.$e$.,v_c(0^{-}).$

$($c$)$ Calculate the energy stored in the inductor prior to the opening of the switch.

$($d$)$ Find the current i immediately after the switch is opened, i$.$e$.,i(0^{+}).$

$($e$)$ Find the value of $di\frac{0^{+}}{d}t$ immediately after the switch is opened.