In the Circuit Shown Below, Let $$\text { Draw the circuit in the s-domain and find } V _ { 0 } ( s ) \text { and } v _ { 0 } ( t ) \text { for } t \geq 0 \text {. }$$

Essay

In the circuit shown below, let $$\mathrm { R } _ { 1 } = 1 \Omega , \mathrm { R } _ { 2 } = 2 \Omega , \mathrm { C } = 0.2 \mathrm {~F} , \mathrm {~L} = 0.5 \mathrm { H } , \mathrm { v } \left( 0 ^ { - } \right) = 1 \mathrm {~V} , \mathrm { i } \left( 0 ^ { - } \right) = 2 \mathrm {~A} , \mathrm { vs } ( \mathrm { t } ) = 3 \mathrm { u } ( \mathrm { t } )$$ $$\text { Draw the circuit in the s-domain and find } V _ { 0 } ( s ) \text { and } v _ { 0 } ( t ) \text { for } t \geq 0 \text {. }$$