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
V100 HzC = 10 µF

Find the reactance XC of a 10 µF capacitor at 100 Hz.

C = 10 µFf = 100 Hz
XC = Ω
2.Easy
50 V60 HzR = 100 ΩL = 250 mH

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 60 HzR = 100 ΩL = 250 mH
|Z| = Ω
3.Medium
50 V200 HzR = 100 ΩL = 50 mHC = 4.7 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 100 ΩL = 50 mHC = 4.7 µF
I = A
4.Medium
230 V200 HzR = 25 ΩL = 20 mHI

A resistor and an inductor are connected in parallel across a 230 V (rms), 200 Hz supply. Find the rms current I.

V = 230 V (rms)f = 200 HzR = 25 ΩL = 20 mH
I = A
5.Hard
12 V200 HzR = 40 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 40 ΩL = 100 mHC = 47 µF
I = A
6.Hard
12 Vf0​R = 50 ΩL = 5 mHC = 0.22 µF

A series RLC circuit is driven by a 12 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 12 V (rms)R = 50 ΩL = 5 mHC = 0.22 µF
VL = V

Answer key

  1. 1. XC = 159.2 Ω
  2. 2. |Z| = 137.4 Ω
  3. 3. I = 0.3423 A
  4. 4. I = 12.98 A
  5. 5. I = 0.1036 A
  6. 6. VL = 36.18 V

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