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 V200 HzR = 60 ΩC = 2.2 µFI

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

V = 100 V (rms)f = 200 HzR = 60 ΩC = 2.2 µF
I = A
2.Easy
100 V50 HzR = 40 ΩL = 100 mH

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms voltage VR across the resistor.

V = 100 V (rms)f = 50 HzR = 40 ΩL = 100 mH
VR = V
3.Medium
24 V1000 HzR = 60 ΩL = 100 mHC = 100 µF

A series RLC circuit is connected to a 24 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 1000 HzR = 60 ΩL = 100 mHC = 100 µF
φ = °
4.Medium
Vf0​ = 50 HzRL = 200 mHC = ?

A series RLC circuit with L = 200 mH must resonate at 50 Hz. Find the capacitance C needed.

f0 = 50 HzL = 200 mH
C = µF
5.Hard
10 V200 HzR = 60 ΩL = 200 mHC = 22 µFI

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms current I.

V = 10 V (rms)f = 200 HzR = 60 ΩL = 200 mHC = 22 µF
I = A
6.Hard
2 Vf0​R = 15 ΩL = 20 mHC = 0.22 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 = 20 mHC = 0.22 µF
VL = V

Answer key

  1. 1. I = 0.2727 A
  2. 2. VR = 78.64 V
  3. 3. φ = 84.53 °
  4. 4. C = 50.66 µF
  5. 5. I = 0.04477 A
  6. 6. VL = 40.2 V

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