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
100 V50 HzR = 30 ΩL = 100 mHI

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 30 ΩL = 100 mH
I = A
2.Easy
230 V50 HzR = 80 ΩL = 100 mHI

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 80 ΩL = 100 mH
I = A
3.Medium
24 V50 HzR = 15 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 15 ΩL = 50 mH
|Z| = Ω
4.Medium
12 V60 HzR = 60 ΩL = 20 mHC = 22 µF

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 60 HzR = 60 ΩL = 20 mHC = 22 µF
φ = °
5.Hard
50 V1000 HzR = 50 ΩL = 20 mHC = 100 µF

A series RLC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the resonant frequency f0 of the circuit.

V = 50 V (rms)f = 1000 HzR = 50 ΩL = 20 mHC = 100 µF
f0 = Hz
6.Hard
24 V60 HzR = 25 ΩL = 100 mHC = 10 µF

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the resonant frequency f0 of the circuit.

V = 24 V (rms)f = 60 HzR = 25 ΩL = 100 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. I = 2.302 A
  2. 2. I = 2.676 A
  3. 3. |Z| = 10.85 Ω
  4. 4. φ = −62.04 °
  5. 5. f0 = 112.5 Hz
  6. 6. f0 = 159.2 Hz

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