A 2 k resistor is in series with a 0.015 F capacitor across a 15 kHz ac source. What is the magnitude of the total impedance and the phase angle?

A 2 k resistor is in series with a 0.015 F capacitor across a 15 kHz a

1.	A 2 k resistor is in series with a 0.015 F capacitor across a 15 kHz ac source. What is the magnitude of the total impedance and the phase angle?
Answer» Xc = 1/2πfC = 707 &ohm; Z = R - jXc = 2000 - j(707) \|z\| = sqrt(RR + XcXc) = 2121 &ohm; Phase angle = arctangent(Xc/R) = 19.5°