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 V50 HzR = 15 ΩL = 150 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 15 ΩL = 150 mH
|Z| = Ω
2.Easy
24 V200 HzR = 60 ΩC = 1 µF

A series RC circuit is connected to a 24 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 200 HzR = 60 ΩC = 1 µF
|Z| = Ω
3.Medium
12 V100 HzR = 15 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the rms current I.

V = 12 V (rms)f = 100 HzR = 15 ΩL = 200 mHC = 10 µF
I = A
4.Medium
10 V200 HzR = 20 ΩL = 50 mHC = 10 µF

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 200 HzR = 20 ΩL = 50 mHC = 10 µF
φ = °
5.Hard
24 V100 HzR1​ = 10 ΩR2​ = 150 ΩC = 4.7 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 100 HzR1 = 10 ΩR2 = 150 ΩC = 4.7 µF
|Z| = Ω
6.Hard
230 V100 HzR = 10 ΩL = 200 mHC = 47 µF

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 100 HzR = 10 ΩL = 200 mHC = 47 µF
f0 = Hz

Answer key

  1. 1. |Z| = 49.45 Ω
  2. 2. |Z| = 798 Ω
  3. 3. I = 0.327 A
  4. 4. φ = −39.94 °
  5. 5. |Z| = 146.3 Ω
  6. 6. f0 = 51.91 Hz

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