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 HzL = 10 mH

Find the reactance XL of a 10 mH inductor at 200 Hz.

L = 10 mHf = 200 Hz
XL = Ω
2.Easy
12 V60 HzR = 80 ΩL = 50 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR = 80 ΩL = 50 mH
|Z| = Ω
3.Medium
24 V50 HzR = 50 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 50 HzR = 50 ΩL = 50 mH
φ = °
4.Medium
12 V50 HzR = 15 ΩL = 200 mHC = 47 µF

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 50 HzR = 15 ΩL = 200 mHC = 47 µF
φ = °
5.Hard
10 V500 HzR = 80 ΩL = 250 mHC = 100 µF

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 10 V (rms)f = 500 HzR = 80 ΩL = 250 mHC = 100 µF
f0 = Hz
6.Hard
10 V500 HzR = 80 ΩL = 250 mHC = 22 µFI

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 80 ΩL = 250 mHC = 22 µF
I = A

Answer key

  1. 1. XL = 12.57 Ω
  2. 2. |Z| = 82.19 Ω
  3. 3. φ = 72.56 °
  4. 4. φ = −18.07 °
  5. 5. f0 = 31.83 Hz
  6. 6. I = 0.0129 A

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