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 = 25 ΩL = 250 mHI

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR = 25 ΩL = 250 mH
I = A
2.Easy
50 V60 HzR = 25 ΩL = 50 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 25 ΩL = 50 mH
I = A
3.Medium
12 V200 HzR = 25 ΩL = 100 mHC = 100 µF

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 200 HzR = 25 ΩL = 100 mHC = 100 µF
φ = °
4.Medium
12 V200 HzR = 10 ΩC = 100 µFI

A resistor and a capacitor are connected in parallel across a 12 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 200 HzR = 10 ΩC = 100 µF
|Z| = Ω
5.Hard
100 V1000 HzR = 40 ΩL = 50 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 1000 HzR = 40 ΩL = 50 mHC = 4.7 µF
VC = V
6.Hard
24 V50 HzR = 50 ΩL = 250 mHC = 4.7 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 = 50 ΩL = 250 mHC = 4.7 µF
I = A

Answer key

  1. 1. I = 0.2461 A
  2. 2. I = 1.597 A
  3. 3. φ = 78.01 °
  4. 4. |Z| = 6.227 Ω
  5. 5. VC = 11.96 V
  6. 6. I = 0.03995 A

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