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
120 V100 HzR = 220 ΩC = 10 µFI

A series RC circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms current I.

V = 120 V (rms)f = 100 HzR = 220 ΩC = 10 µF
I = A
2.Easy
10 V200 HzR = 30 ΩL = 150 mH

A series RL circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 10 V (rms)f = 200 HzR = 30 ΩL = 150 mH
VL = V
3.Medium
Vf0​ = 50 HzRL = 10 mHC = ?

A series RLC circuit with L = 10 mH must resonate at 50 Hz. Find the capacitance C needed.

f0 = 50 HzL = 10 mH
C = µF
4.Medium
100 V60 HzR = 25 ΩL = 150 mHI

A resistor and an inductor are connected in parallel across a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 25 ΩL = 150 mH
I = A
5.Hard
VfR = 50 ΩL = 5 mHC = 0.01 µF

A series RLC circuit has R = 50 Ω, L = 5 mH and C = 0.01 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 50 ΩL = 5 mHC = 0.01 µF
B = Hz
6.Hard
120 V500 HzR = 40 ΩL = 50 mHC = 10 µF

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 500 HzR = 40 ΩL = 50 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. I = 0.4419 A
  2. 2. VL = 9.876 V
  3. 3. C = 1013 µF
  4. 4. I = 4.373 A
  5. 5. B = 1592 Hz
  6. 6. f0 = 225.1 Hz

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