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
10 V200 HzR = 25 ΩC = 100 µF

A series RC circuit is connected to a 10 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 200 HzR = 25 ΩC = 100 µF
|Z| = Ω
2.Easy
100 V50 HzR = 15 ΩL = 150 mH

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 50 HzR = 15 ΩL = 150 mH
|Z| = Ω
3.Medium
Vf0​ = 200 HzRL = ?C = 10 µF

A series RLC circuit with C = 10 µF must resonate at 200 Hz. Find the inductance L needed.

f0 = 200 HzC = 10 µF
L = mH
4.Medium
230 V200 HzR = 50 ΩL = 20 mHC = 2.2 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 = 50 ΩL = 20 mHC = 2.2 µF
I = A
5.Hard
120 V200 HzR = 40 ΩL = 200 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 200 HzR = 40 ΩL = 200 mHC = 4.7 µF
VC = V
6.Hard
12 V200 HzR = 80 ΩL = 100 mHC = 10 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 80 ΩL = 100 mHC = 10 µF
I = A

Answer key

  1. 1. |Z| = 26.24 Ω
  2. 2. |Z| = 49.45 Ω
  3. 3. L = 63.33 mH
  4. 4. I = 0.6759 A
  5. 5. VC = 222.7 V
  6. 6. I = 0.13 A

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