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
230 V60 HzR = 30 ΩL = 150 mH

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 60 HzR = 30 ΩL = 150 mH
|Z| = Ω
2.Easy
V60 HzC = 10 µF

Find the reactance XC of a 10 µF capacitor at 60 Hz.

C = 10 µFf = 60 Hz
XC = Ω
3.Medium
10 V60 HzR = 25 ΩL = 250 mHC = 47 µFI

A series RLC circuit is connected to a 10 V (rms), 60 Hz supply. Find the rms current I.

V = 10 V (rms)f = 60 HzR = 25 ΩL = 250 mHC = 47 µF
I = A
4.Medium
24 V100 HzR = 10 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 100 HzR = 10 ΩL = 50 mH
|Z| = Ω
5.Hard
10 V50 HzR = 30 ΩL = 250 mHC = 10 µFI

A series RLC circuit is connected to a 10 V (rms), 50 Hz supply. Find the rms current I.

V = 10 V (rms)f = 50 HzR = 30 ΩL = 250 mHC = 10 µF
I = A
6.Hard
VfR = 10 ΩL = 20 mHC = 0.1 µF

A series RLC circuit has R = 10 Ω, L = 20 mH and C = 0.1 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 20 mHC = 0.1 µF
B = Hz

Answer key

  1. 1. |Z| = 64.01 Ω
  2. 2. XC = 265.3 Ω
  3. 3. I = 0.2206 A
  4. 4. |Z| = 9.529 Ω
  5. 5. I = 0.04138 A
  6. 6. B = 79.58 Hz

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