A $0\mathrm{.}35-$k$$ resistor and $420-$mH inductor are connected in series to a Vrms $=120$ V AC power source oscillating at a frequency of f $=60$ Hz$.$ The voltage as a function of time is given by

V $=$ V$0$cos$($t$),$

where V$0$ is the amplitude, is the angular frequency.

Holmes,$$Tim$-$trh$5605$@psu.edu

trh$5605$@psu.edu$0$P$65-85-39-40-$BD$61-52483$

$-$ Part $($a$)$

What is the amplitude of the source voltage, in volts?

V$0=169\mathrm{.}7169\mathrm{.}7$Correct$!$

$-$ Part $($b$)$

Enter an expression for the impedance of the circuit in terms of R$,$ L$,$ f$,$ and $.$

Z $=(($R$)2+(2$$$f$$L$)2)$Correct$!$

$-$ Part $($c$)$

Enter an expression for the tangent of the phase constant of the circuit in terms of R$,$ L$,$ f$,$ and $.$

tan $=2$$$f$$L$/$R$$Correct$!$

$-$ Part $($d$)$

Assume the time dependence of the source voltage is given by V $=$ V$0$cos$377$t$,$ where the amplitude V$0$ is what you calculated in part $($a$)$ and the angular frequency is $(2$$)60$ rad$/$s $377$ rad$/$s$.$ Select the correct expression for the current in the circuit.

$$Correct$!$

$-$ Part $($e$)$

Find the current in the circuit, in amperes, at time t $=4\mathrm{.}1$ s$.$

I $=0\mathrm{.}41200\mathrm{.}4120$Correct$!$

$-$ Part $($f$)$

Find the voltage drop across the resistor, in volts, at time t $=4\mathrm{.}1$ s$.$

VR $=144\mathrm{.}2144\mathrm{.}2$Correct$!$

$$ Part $($g$)$

Find the voltage drop across the inductor, in volts, at time t $=4\mathrm{.}1$ s$.$