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 V1000 HzR = 50 ΩC = 47 µFI

A series RC circuit is connected to a 24 V (rms), 1000 Hz supply. Find the rms current I.

V = 24 V (rms)f = 1000 HzR = 50 ΩC = 47 µF
I = A
2.Easy
V2000 HzC = 10 µF

Find the reactance XC of a 10 µF capacitor at 2000 Hz.

C = 10 µFf = 2000 Hz
XC = Ω
3.Medium
100 V100 HzR = 20 ΩL = 20 mHC = 47 µF

A series RLC circuit is connected to a 100 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 100 HzR = 20 ΩL = 20 mHC = 47 µF
φ = °
4.Medium
Vf0​ = 60 HzRL = 50 mHC = ?

A series RLC circuit with L = 50 mH must resonate at 60 Hz. Find the capacitance C needed.

f0 = 60 HzL = 50 mH
C = µF
5.Hard
1 Vf0​R = 50 ΩL = 200 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 = 50 ΩL = 200 mHC = 4.7 µF
VL = V
6.Hard
10 Vf0​R = 5 ΩL = 5 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 = 5 ΩL = 5 mHC = 2.2 µF
VL = V

Answer key

  1. 1. I = 0.4789 A
  2. 2. XC = 7.958 Ω
  3. 3. φ = −46.8 °
  4. 4. C = 140.7 µF
  5. 5. VL = 4.126 V
  6. 6. VL = 95.35 V

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