$$\text { Find the current i(t) through the inductor for } \mathrm { t } \geq 0 \text { in the circuit shown below. Assume } \mathrm { R } _ { 1 } =$$

Essay

$$\text { Find the current i(t) through the inductor for } \mathrm { t } \geq 0 \text { in the circuit shown below. Assume } \mathrm { R } _ { 1 } =$$ $$100 \Omega , \mathrm { R } _ { 2 } = 200 \Omega , \mathrm { L } = 50 \mathrm { mH } , \mathrm { C } = 0.01 \mu \mathrm { F } , \mathrm { V } _ { \mathrm { s } } = 5 \mathrm {~V} . \mathrm { I } _ { 0 } = 1 \mathrm {~mA} , \mathrm {~V} _ { 0 } = 0.5 \mathrm {~V}$$