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
230 V60 HzR = 25 ΩL = 200 mHI

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms current I.

V = 230 V (rms)f = 60 HzR = 25 ΩL = 200 mH
I = A
2.Easy
V100 HzL = 500 mH

Find the reactance XL of a 500 mH inductor at 100 Hz.

L = 500 mHf = 100 Hz
XL = Ω
3.Medium
Vf0​ = 1000 HzRL = ?C = 22 µF

A series RLC circuit with C = 22 µF must resonate at 1000 Hz. Find the inductance L needed.

f0 = 1000 HzC = 22 µF
L = mH
4.Medium
50 V200 HzR = 20 ΩL = 150 mHC = 100 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 200 HzR = 20 ΩL = 150 mHC = 100 µF
φ = °
5.Hard
24 V50 HzR = 40 ΩL = 250 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 40 ΩL = 250 mHC = 47 µF
I = A
6.Hard
12 V500 HzR = 60 ΩL = 200 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 500 HzR = 60 ΩL = 200 mHC = 2.2 µF
VC = V

Answer key

  1. 1. I = 2.895 A
  2. 2. XL = 314.2 Ω
  3. 3. L = 1.151 mH
  4. 4. φ = 83.68 °
  5. 5. I = 0.5792 A
  6. 6. VC = 3.563 V

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