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
V2000 HzC = 0.47 µF

Find the reactance XC of a 0.47 µF capacitor at 2000 Hz.

C = 0.47 µFf = 2000 Hz
XC = Ω
2.Easy
50 V50 HzR = 100 ΩL = 200 mH

A series RL circuit is connected to a 50 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 50 HzR = 100 ΩL = 200 mH
|Z| = Ω
3.Medium
50 V200 HzR = 40 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the power factor cos φ of the circuit.

V = 50 V (rms)f = 200 HzR = 40 ΩL = 200 mHC = 10 µF
cos φ =
4.Medium
Vf0​ = 500 HzRL = ?C = 10 µF

A series RLC circuit with C = 10 µF must resonate at 500 Hz. Find the inductance L needed.

f0 = 500 HzC = 10 µF
L = mH
5.Hard
100 V100 HzR = 50 ΩL = 20 mHC = 4.7 µFI

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

V = 100 V (rms)f = 100 HzR = 50 ΩL = 20 mHC = 4.7 µF
I = A
6.Hard
24 V500 HzR = 20 ΩL = 100 mHC = 10 µF

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 24 V (rms)f = 500 HzR = 20 ΩL = 100 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. XC = 169.3 Ω
  2. 2. |Z| = 118.1 Ω
  3. 3. cos φ = 0.2268
  4. 4. L = 10.13 mH
  5. 5. I = 0.3031 A
  6. 6. f0 = 159.2 Hz

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