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
12 V50 HzR = 50 ΩL = 250 mHI

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 50 ΩL = 250 mH
I = A
2.Easy
V2000 HzL = 5 mH

Find the reactance XL of a 5 mH inductor at 2000 Hz.

L = 5 mHf = 2000 Hz
XL = Ω
3.Medium
10 V100 HzR = 80 ΩL = 20 mHC = 2.2 µFI

A series RLC circuit is connected to a 10 V (rms), 100 Hz supply. Find the rms current I.

V = 10 V (rms)f = 100 HzR = 80 ΩL = 20 mHC = 2.2 µF
I = A
4.Medium
12 V1000 HzR = 100 ΩL = 250 mHC = 100 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 1000 HzR = 100 ΩL = 250 mHC = 100 µF
φ = °
5.Hard
24 V50 HzR = 30 ΩL = 100 mHC = 47 µF

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the resonant frequency f0 of the circuit.

V = 24 V (rms)f = 50 HzR = 30 ΩL = 100 mHC = 47 µF
f0 = Hz
6.Hard
230 V200 HzR = 60 ΩL = 100 mHC = 1 µF

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 200 HzR = 60 ΩL = 100 mHC = 1 µF
f0 = Hz

Answer key

  1. 1. I = 0.1289 A
  2. 2. XL = 62.83 Ω
  3. 3. I = 0.01398 A
  4. 4. φ = 86.35 °
  5. 5. f0 = 73.41 Hz
  6. 6. f0 = 503.3 Hz

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