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
24 V60 HzR = 15 ΩL = 150 mH

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 24 V (rms)f = 60 HzR = 15 ΩL = 150 mH
VL = V
2.Easy
50 V200 HzR = 20 ΩL = 100 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 = 20 ΩL = 100 mH
VL = V
3.Medium
50 V100 HzR = 25 ΩL = 150 mHC = 22 µFI

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

V = 50 V (rms)f = 100 HzR = 25 ΩL = 150 mHC = 22 µF
I = A
4.Medium
Vf0​ = 500 HzRL = 20 mHC = ?

A series RLC circuit with L = 20 mH must resonate at 500 Hz. Find the capacitance C needed.

f0 = 500 HzL = 20 mH
C = µF
5.Hard
12 V100 HzR1​ = 15 ΩR2​ = 100 ΩC = 10 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 100 HzR1 = 15 ΩR2 = 100 ΩC = 10 µF
|Z| = Ω
6.Hard
12 V60 HzR1​ = 50 ΩR2​ = 150 ΩC = 10 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR1 = 50 ΩR2 = 150 ΩC = 10 µF
|Z| = Ω

Answer key

  1. 1. VL = 23.2 V
  2. 2. VL = 49.38 V
  3. 3. I = 1.504 A
  4. 4. C = 5.066 µF
  5. 5. |Z| = 97.7 Ω
  6. 6. |Z| = 175.8 Ω

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