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
V200 HzC = 0.1 µF

Find the reactance XC of a 0.1 µF capacitor at 200 Hz.

C = 0.1 µFf = 200 Hz
XC = Ω
2.Easy
50 V200 HzR = 40 ΩL = 150 mH

A series RL circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 50 V (rms)f = 200 HzR = 40 ΩL = 150 mH
VL = V
3.Medium
12 V1000 HzR = 80 ΩL = 20 mHC = 1 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 1000 HzR = 80 ΩL = 20 mHC = 1 µF
φ = °
4.Medium
24 V100 HzR = 10 ΩC = 47 µFI

A resistor and a capacitor are connected in parallel across a 24 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 100 HzR = 10 ΩC = 47 µF
|Z| = Ω
5.Hard
VfR = 2 ΩL = 2 mHC = 2.2 µF

A series RLC circuit has R = 2 Ω, L = 2 mH and C = 2.2 µF. Find its quality factor Q at resonance.

R = 2 ΩL = 2 mHC = 2.2 µF
Q =
6.Hard
10 V500 HzR = 30 ΩL = 100 mHC = 10 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 500 HzR = 30 ΩL = 100 mHC = 10 µF
VC = V

Answer key

  1. 1. XC = 7958 Ω
  2. 2. VL = 48.91 V
  3. 3. φ = −22.72 °
  4. 4. |Z| = 9.591 Ω
  5. 5. Q = 15.08
  6. 6. VC = 1.121 V

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