The Switch in the Circuit Shown Below Has Been Closed $= 0$

question 5

Essay

the switch in the circuit shown below has been closed for a long time before it is opened at t $= 0$ . Find the current $i ( t )$ through the inductor for $t \geq 0$ . Assume $R _ { 1 } = 1 \mathrm { k } \Omega , R _ { 2 } = 2 \mathrm { k } \Omega , R _ { 3 } = 3$ $\mathrm { k } \Omega , \mathrm { L } = 250 \mathrm { mH } , \mathrm { C } = 0.025 \mu \mathrm { F } , \mathrm { V } _ { \mathrm { s } } = 2.2 \mathrm {~V}$ .