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 = 20 ΩC = 10 µFI

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

V = 24 V (rms)f = 60 HzR = 20 ΩC = 10 µF
I = A
2.Easy
Vf = ?L = 1 mH

At what frequency f does a 1 mH inductor have a reactance of 1000 Ω?

L = 1 mHXL = 1000 Ω
f = Hz
3.Medium
12 V50 HzR = 60 ΩL = 150 mHC = 10 µF

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 50 HzR = 60 ΩL = 150 mHC = 10 µF
φ = °
4.Medium
230 V200 HzR = 20 ΩL = 150 mHC = 2.2 µFI

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 230 V (rms)f = 200 HzR = 20 ΩL = 150 mHC = 2.2 µF
P = W
5.Hard
120 V500 HzR = 60 ΩL = 20 mHC = 1 µF

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 500 HzR = 60 ΩL = 20 mHC = 1 µF
f0 = Hz
6.Hard
10 V200 HzR = 80 ΩL = 200 mHC = 47 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 = 200 mHC = 47 µF
VC = V

Answer key

  1. 1. I = 0.09022 A
  2. 2. f = 159155 Hz
  3. 3. φ = −77.52 °
  4. 4. P = 34.8 W
  5. 5. f0 = 1125 Hz
  6. 6. VC = 0.6836 V

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