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 V50 HzR = 40 ΩC = 47 µF

A series RC circuit is connected to a 120 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 50 HzR = 40 ΩC = 47 µF
|Z| = Ω
2.Easy
24 V50 HzR = 80 ΩL = 250 mHI

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

V = 24 V (rms)f = 50 HzR = 80 ΩL = 250 mH
I = A
3.Medium
100 V200 HzR = 30 ΩL = 150 mHC = 10 µF

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 200 HzR = 30 ΩL = 150 mHC = 10 µF
φ = °
4.Medium
120 V100 HzR = 100 ΩL = 150 mHC = 1 µFI

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms current I.

V = 120 V (rms)f = 100 HzR = 100 ΩL = 150 mHC = 1 µF
I = A
5.Hard
VfR = 2 ΩL = 5 mHC = 0.47 µF

A series RLC circuit has R = 2 Ω, L = 5 mH and C = 0.47 µF. Find its quality factor Q at resonance.

R = 2 ΩL = 5 mHC = 0.47 µF
Q =
6.Hard
100 V500 HzR1​ = 50 ΩR2​ = 30 ΩC = 22 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 500 HzR1 = 50 ΩR2 = 30 ΩC = 22 µF
|Z| = Ω

Answer key

  1. 1. |Z| = 78.66 Ω
  2. 2. I = 0.2141 A
  3. 3. φ = 74.6 °
  4. 4. I = 0.07997 A
  5. 5. Q = 51.57
  6. 6. |Z| = 56.89 Ω

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