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
24 V200 HzR = 100 ΩC = 4.7 µF

A series RC circuit is connected to a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 100 ΩC = 4.7 µF
φ = °
2.Easy
100 V50 HzR = 25 ΩL = 20 mHI

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 25 ΩL = 20 mH
I = A
3.Medium
Vf0​ = 100 HzRL = ?C = 22 µF

A series RLC circuit with C = 22 µF must resonate at 100 Hz. Find the inductance L needed.

f0 = 100 HzC = 22 µF
L = mH
4.Medium
Vf0​ = 5000 HzRL = ?C = 22 µF

A series RLC circuit with C = 22 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 22 µF
L = mH
5.Hard
120 V500 HzR = 100 ΩL = 100 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 500 HzR = 100 ΩL = 100 mHC = 4.7 µF
VC = V
6.Hard
50 V1000 HzR = 80 ΩL = 200 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 50 V (rms)f = 1000 HzR = 80 ΩL = 200 mHC = 4.7 µF
VC = V

Answer key

  1. 1. φ = −59.43 °
  2. 2. I = 3.879 A
  3. 3. L = 115.1 mH
  4. 4. L = 0.04606 mH
  5. 5. VC = 30.56 V
  6. 6. VC = 1.382 V

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