In the Circuit Shown Below, Let Draw the Circuit in the S-Domain and Find

Essay

In the circuit shown below, let $$\mathrm { R } _ { 1 } = 1 \Omega , \mathrm { R } _ { 2 } = 4 \Omega , \mathrm { C } = 0.5 \mathrm {~F} , \mathrm {~L} = 1 \mathrm { H } , \mathrm { v } \left( 0 ^ { - } \right) = 3 \mathrm {~V} , \mathrm { i } \left( 0 ^ { - } \right) = 1 \mathrm {~A} , \mathrm { v } _ { \mathrm { s } } ( \mathrm { t } ) = 4 \mathrm { u } ( \mathrm { t } )$$
Draw the circuit in the s-domain and find $V ( s )$ and $v ( t )$ for $t \geq 0$ .