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
120 V60 HzR = 20 ΩL = 150 mH

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 60 HzR = 20 ΩL = 150 mH
|Z| = Ω
2.Easy
50 V50 HzR = 60 ΩL = 250 mHI

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

V = 50 V (rms)f = 50 HzR = 60 ΩL = 250 mH
I = A
3.Medium
Vf0​ = 2000 HzRL = ?C = 0.1 µF

A series RLC circuit with C = 0.1 µF must resonate at 2000 Hz. Find the inductance L needed.

f0 = 2000 HzC = 0.1 µF
L = mH
4.Medium
100 V1000 HzR = 80 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the rms current I.

V = 100 V (rms)f = 1000 HzR = 80 ΩL = 150 mHC = 22 µF
I = A
5.Hard
120 V200 HzR1​ = 15 ΩR2​ = 60 ΩC = 4.7 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 120 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 200 HzR1 = 15 ΩR2 = 60 ΩC = 4.7 µF
|Z| = Ω
6.Hard
230 V60 HzR = 100 ΩL = 100 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 60 HzR = 100 ΩL = 100 mHC = 22 µF
VC = V

Answer key

  1. 1. |Z| = 59.98 Ω
  2. 2. I = 0.5059 A
  3. 3. L = 63.33 mH
  4. 4. I = 0.1065 A
  5. 5. |Z| = 70.87 Ω
  6. 6. VC = 213.5 V

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