The phase angle of an LRC series circuit with an inductive reactance of 2002, a resistor of 200 and a certain capacitor at 1000 Hz is 40.0°. What is the value of the capacitance in this circuit?

Capacitance and Impedance Capacitance is much more difficult to measure than resistance. This problem shows one crude way to get that measurement done. Consider a 15 Ω resistor in series with an unknown capacitor. You can use a function generator like those in the studio to make a 20 volt rms signal at 6100 Hz. If a multimeter shows the rms current through the circuit to be 1.259 A, what is the capacitance of your capacitor? I tried solving for the impedance and then plugging that equation into ohm's law, but I get an equation that says C does not have a real value.

A resistor with resistance R is connected to an AC source.  If the AC source provides a voltage VR(t) = V0cos(omegat), what is the current IR(t) through the resistor as a function of time?