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
V2000 HzL = 1 mH

Find the reactance XL of a 1 mH inductor at 2000 Hz.

L = 1 mHf = 2000 Hz
XL = Ω
2.Easy
120 V50 HzR = 20 ΩL = 50 mHI

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 20 ΩL = 50 mH
I = A
3.Medium
50 V60 HzR = 40 ΩL = 50 mHC = 4.7 µF

A series RLC circuit is connected to a 50 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 60 HzR = 40 ΩL = 50 mHC = 4.7 µF
φ = °
4.Medium
120 V500 HzR = 10 ΩL = 50 mHC = 2.2 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR = 10 ΩL = 50 mHC = 2.2 µF
I = A
5.Hard
24 V500 HzR = 60 ΩL = 100 mHC = 1 µFI

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 60 ΩL = 100 mHC = 1 µF
I = A
6.Hard
VfR = 10 ΩL = 1 mHC = 0.22 µF

A series RLC circuit has R = 10 Ω, L = 1 mH and C = 0.22 µF. Find its quality factor Q at resonance.

R = 10 ΩL = 1 mHC = 0.22 µF
Q =

Answer key

  1. 1. XL = 12.57 Ω
  2. 2. I = 4.719 A
  3. 3. φ = −85.81 °
  4. 4. I = 7.535 A
  5. 5. I = 0.399 A
  6. 6. Q = 6.742

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