A voltage source v$($t$)=10+150$ sin$($wt $-20)+30$ sin$(3$t $-40)$ is applied across an

RL load with R$=102$ and L$=0\mathrm{.}1$ H$.$ Assume @$=100$x$.$

Determine:

$1.$ The steady$-$state current, i$($t$),$ flowing through the RL circuit.

$2.$ The RMS value of v$($t$)$ and i$($t$).$

$3.$ The total active and reactive power delivered by the voltage source.

$4.$ The power factor at the source.