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In rectangular coordinates, what is the impedance of a network comprised of a 10microhenry inductor in series with a 40ohm resistor at 500 MHz?

Calculate the inductive reactance at the given frequency: XL (inductive reactance) = 2(ᴨ)(freq)(L)

Combine with resistance to get the impedance. Z(imped) = R + jX
answer 40 + j31,400 
What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 25 ohms, R is 100 ohms, and XL is 50 ohms?

XL  inductive reactance
XCcapacitive reactance θ  phase angle 
X = XL  XC
θ = arctan X/R positive value = voltage leads current; negative value = voltage lags the current 
True power

power actually consumed by the circuit

less than apparent power, P = EI

Apparent power

P = EI (often desinated VA  volts/amperes instead of watts to distinguish from true power

greater than the true power, the power actually consumed by the circuit (because some power is held by capacitors and inductors)

Power factor

ratio of true to apparent power

power factor also = cos θ (the phase angle)
