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
Vf = ?L = 10 mH

At what frequency f does a 10 mH inductor have a reactance of 10 Ω?

L = 10 mHXL = 10 Ω
f = Hz
2.Easy
50 V60 HzR = 100 ΩL = 50 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 100 ΩL = 50 mH
I = A
3.Medium
50 V500 HzR = 25 ΩL = 50 mHC = 10 µF

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 500 HzR = 25 ΩL = 50 mHC = 10 µF
φ = °
4.Medium
50 V200 HzR = 80 ΩC = 22 µFI

A resistor and a capacitor are connected in parallel across a 50 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 200 HzR = 80 ΩC = 22 µF
|Z| = Ω
5.Hard
VfR = 2 ΩL = 20 mHC = 2.2 µF

A series RLC circuit has R = 2 Ω, L = 20 mH and C = 2.2 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 2 ΩL = 20 mHC = 2.2 µF
B = Hz
6.Hard
12 V1000 HzR = 60 ΩL = 100 mHC = 4.7 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 1000 HzR = 60 ΩL = 100 mHC = 4.7 µF
f0 = Hz

Answer key

  1. 1. f = 159.2 Hz
  2. 2. I = 0.4913 A
  3. 3. φ = 78.71 °
  4. 4. |Z| = 32.96 Ω
  5. 5. B = 15.92 Hz
  6. 6. f0 = 232.2 Hz

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