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
230 V50 HzR = 15 ΩL = 250 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 = 15 ΩL = 250 mH
I = A
2.Easy
24 V200 HzR = 25 ΩC = 4.7 µFI

A series RC circuit is connected to a 24 V (rms), 200 Hz supply. Find the rms current I.

V = 24 V (rms)f = 200 HzR = 25 ΩC = 4.7 µF
I = A
3.Medium
Vf0​ = 500 HzRL = ?C = 0.22 µF

A series RLC circuit with C = 0.22 µF must resonate at 500 Hz. Find the inductance L needed.

f0 = 500 HzC = 0.22 µF
L = mH
4.Medium
50 V200 HzR = 80 ΩL = 150 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 80 ΩL = 150 mH
I = A
5.Hard
1 Vf0​R = 2 ΩL = 20 mHC = 2.2 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 2 ΩL = 20 mHC = 2.2 µF
VL = V
6.Hard
24 V50 HzR = 30 ΩL = 250 mHC = 100 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 30 ΩL = 250 mHC = 100 µF
I = A

Answer key

  1. 1. I = 2.876 A
  2. 2. I = 0.1402 A
  3. 3. L = 460.6 mH
  4. 4. I = 0.679 A
  5. 5. VL = 47.67 V
  6. 6. I = 0.4323 A

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