Answer: $($a$)(3-3e^{-0\mathrm{.}5t})A,0t1s$;

$($b$)(-4\mathrm{.}8+5\mathrm{.}98e^{-1\mathrm{.}25(t-1)})A,t1s.$

$8\mathrm{.}6$ The natural voltage response of the circuit in Fig. $8\mathrm{.}1$ is

$v(t)=120e^{-400t}cos300t+80e^{-400t}sin300tV$

when the capacitor is $250F.$ Find $($a$)L$; $($b$)R$;

$($c$)V_0$; $($d$)I_0$; and $($e$)i_L(t).$

Figure $8\mathrm{.}1$ A A circuit used to illustrate the natural response of a parallel RLC circuit.