$9\mathrm{.}40$ a$)$ The source voltage in the circuit in Fig. P$9\mathrm{.}40$ is

PSPICE

MULTISIM

$v_g=200cos500tV.$ Find the values of $L$ such that $i_g$ is in phase with $v_g$ when the circuit is operating in the steady state.

b$)$ For the values of $L$ found in $($a$),$ find the steadystate expressions for $i_g.$

Figure P$9\mathrm{.}40$