AC impedance & phasors worksheet with answers

Free printable AC impedance & phasors worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
120 V50 HzR = 100 ΩC = 47 µF

A series RC circuit is connected to a 120 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 50 HzR = 100 ΩC = 47 µF
φ = °
2.Easy
V1000 HzL = 200 mH

Find the reactance XL of a 200 mH inductor at 1000 Hz.

L = 200 mHf = 1000 Hz
XL = Ω
3.Medium
24 V200 HzR = 20 ΩL = 50 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 200 HzR = 20 ΩL = 50 mHC = 47 µF
P = W
4.Medium
100 V200 HzR = 15 ΩL = 100 mHC = 2.2 µF

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 200 HzR = 15 ΩL = 100 mHC = 2.2 µF
φ = °
5.Hard
2 Vf0​R = 15 ΩL = 200 mHC = 0.47 µF

A series RLC circuit is driven by a 2 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 2 V (rms)R = 15 ΩL = 200 mHC = 0.47 µF
VL = V
6.Hard
100 V200 HzR = 20 ΩL = 50 mHC = 10 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 20 ΩL = 50 mHC = 10 µF
I = A

Answer key

  1. 1. φ = −34.11 °
  2. 2. XL = 1257 Ω
  3. 3. P = 4.595 W
  4. 4. φ = −86.36 °
  5. 5. VL = 86.98 V
  6. 6. I = 3.834 A

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