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 V60 HzR = 30 ΩL = 50 mHI

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR = 30 ΩL = 50 mH
I = A
2.Easy
12 V60 HzR = 15 ΩC = 47 µF

A series RC circuit is connected to a 12 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 60 HzR = 15 ΩC = 47 µF
φ = °
3.Medium
120 V500 HzR = 100 ΩL = 250 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the real power P taken from the supply.

V = 120 V (rms)f = 500 HzR = 100 ΩL = 250 mHC = 4.7 µF
P = W
4.Medium
24 V50 HzR = 15 ΩL = 250 mHC = 100 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 50 HzR = 15 ΩL = 250 mHC = 100 µF
P = W
5.Hard
10 V200 HzR = 20 ΩL = 150 mHC = 22 µF

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 10 V (rms)f = 200 HzR = 20 ΩL = 150 mHC = 22 µF
f0 = Hz
6.Hard
12 V1000 HzR = 40 ΩL = 20 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 1000 HzR = 40 ΩL = 20 mHC = 47 µF
VC = V

Answer key

  1. 1. I = 0.6774 A
  2. 2. φ = −75.12 °
  3. 3. P = 2.743 W
  4. 4. P = 3.59 W
  5. 5. f0 = 87.61 Hz
  6. 6. VC = 0.3159 V

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