A $0\mathrm{.}160$ H inductor is connected in series with a $95$ resistor and an ac source. The voltage across An L $-$R $-$C series circuit is connected to a $120$ Hz ac source that has Vrms $=85\mathrm{.}0$ V $.$ The circuit has a resistance of $79\mathrm{.}0$ and an impedance at this frequency of $109.$the inductor is vL$=(13\mathrm{.}0$V$)$sin$[(490$rad$/$s$)$t$]$