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
12 V60 HzR = 80 ΩC = 22 µFI

A series RC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 80 ΩC = 22 µF
I = A
2.Easy
120 V200 HzR = 150 ΩC = 2.2 µFI

A series RC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms current I.

V = 120 V (rms)f = 200 HzR = 150 ΩC = 2.2 µF
I = A
3.Medium
Vf0​ = 5000 HzRL = ?C = 10 µF

A series RLC circuit with C = 10 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 10 µF
L = mH
4.Medium
Vf0​ = 5000 HzRL = ?C = 47 µF

A series RLC circuit with C = 47 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 47 µF
L = mH
5.Hard
10 V200 HzR = 30 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 = 30 ΩL = 150 mHC = 22 µF
f0 = Hz
6.Hard
1 Vf0​R = 5 ΩL = 50 mHC = 4.7 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 5 ΩL = 50 mHC = 4.7 µF
VL = V

Answer key

  1. 1. I = 0.08293 A
  2. 2. I = 0.3064 A
  3. 3. L = 0.1013 mH
  4. 4. L = 0.02156 mH
  5. 5. f0 = 87.61 Hz
  6. 6. VL = 20.63 V

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