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
V60 HzC = 4.7 µF

Find the reactance XC of a 4.7 µF capacitor at 60 Hz.

C = 4.7 µFf = 60 Hz
XC = Ω
2.Easy
12 V60 HzR = 30 ΩL = 250 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR = 30 ΩL = 250 mH
|Z| = Ω
3.Medium
24 V100 HzR = 10 ΩC = 47 µFI

A resistor and a capacitor are connected in parallel across a 24 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 100 HzR = 10 ΩC = 47 µF
|Z| = Ω
4.Medium
230 V50 HzR = 15 ΩC = 100 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 50 HzR = 15 ΩC = 100 µF
φ = °
5.Hard
120 V60 HzR = 60 ΩL = 50 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 60 ΩL = 50 mHC = 4.7 µF
I = A
6.Hard
24 Vf0​R = 10 ΩL = 50 mHC = 1 µF

A series RLC circuit is driven by a 24 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 24 V (rms)R = 10 ΩL = 50 mHC = 1 µF
VL = V

Answer key

  1. 1. XC = 564.4 Ω
  2. 2. |Z| = 98.91 Ω
  3. 3. |Z| = 9.591 Ω
  4. 4. φ = −25.23 °
  5. 5. I = 0.2187 A
  6. 6. VL = 536.7 V

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