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 V100 HzR = 40 ΩC = 47 µFI

A series RC circuit is connected to a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR = 40 ΩC = 47 µF
I = A
2.Easy
50 V200 HzR = 25 ΩC = 10 µF

A series RC circuit is connected to a 50 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 200 HzR = 25 ΩC = 10 µF
φ = °
3.Medium
Vf0​ = 60 HzRL = ?C = 2.2 µF

A series RLC circuit with C = 2.2 µF must resonate at 60 Hz. Find the inductance L needed.

f0 = 60 HzC = 2.2 µF
L = mH
4.Medium
Vf0​ = 50 HzRL = 1 mHC = ?

A series RLC circuit with L = 1 mH must resonate at 50 Hz. Find the capacitance C needed.

f0 = 50 HzL = 1 mH
C = µF
5.Hard
5 Vf0​R = 15 ΩL = 10 mHC = 10 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 15 ΩL = 10 mHC = 10 µF
VL = V
6.Hard
10 Vf0​R = 10 ΩL = 100 mHC = 2.2 µF

A series RLC circuit is driven by a 10 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 10 V (rms)R = 10 ΩL = 100 mHC = 2.2 µF
VL = V

Answer key

  1. 1. I = 0.4579 A
  2. 2. φ = −72.56 °
  3. 3. L = 3198 mH
  4. 4. C = 10132 µF
  5. 5. VL = 10.54 V
  6. 6. VL = 213.2 V

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