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
100 V50 HzR = 80 ΩL = 100 mH

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms voltage VR across the resistor.

V = 100 V (rms)f = 50 HzR = 80 ΩL = 100 mH
VR = V
2.Easy
230 V60 HzR = 50 ΩL = 150 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 = 50 ΩL = 150 mH
I = A
3.Medium
24 V500 HzR = 20 ΩL = 100 mHC = 22 µF

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 500 HzR = 20 ΩL = 100 mHC = 22 µF
φ = °
4.Medium
230 V200 HzR = 100 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the rms current I.

V = 230 V (rms)f = 200 HzR = 100 ΩL = 100 mHC = 47 µF
I = A
5.Hard
120 V100 HzR = 25 ΩL = 50 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 100 HzR = 25 ΩL = 50 mHC = 4.7 µF
VC = V
6.Hard
10 V200 HzR = 80 ΩL = 150 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 200 HzR = 80 ΩL = 150 mHC = 4.7 µF
VC = V

Answer key

  1. 1. VR = 93.08 V
  2. 2. I = 3.047 A
  3. 3. φ = 86.18 °
  4. 4. I = 1.557 A
  5. 5. VC = 131.8 V
  6. 6. VC = 20.58 V

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