A 150-? resistor is connected in series with a 0.250-H inductor. The voltage across the resistor is vR = (5.70 V)cos[(445 rad/s)t].
(a) Derive an expression for the circuit current. (Assume the frequency is in rad/s. Do not include units in your expression. Use the following as necessary: t.)
IL(t) = A
(b) Determine the inductive reactance of the inductor.
XC = ?
(c) Derive an expression for the voltage VL across the inductor. (Assume the frequency is in rad/s and all other values are in MKS. Do not include units in your expression. Use the following as necessary: t.)
vL(t) = V