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
V50 HzC = 10 µF

Find the reactance XC of a 10 µF capacitor at 50 Hz.

C = 10 µFf = 50 Hz
XC = Ω
2.Easy
24 V60 HzR = 100 ΩL = 150 mHI

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR = 100 ΩL = 150 mH
I = A
3.Medium
12 V1000 HzR = 80 ΩL = 50 mHC = 47 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 1000 HzR = 80 ΩL = 50 mHC = 47 µF
φ = °
4.Medium
100 V100 HzR = 25 ΩL = 150 mHI

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

V = 100 V (rms)f = 100 HzR = 25 ΩL = 150 mH
|Z| = Ω
5.Hard
VfR = 15 ΩL = 20 mHC = 0.1 µF

A series RLC circuit has R = 15 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 = 15 ΩL = 20 mHC = 0.1 µF
B = Hz
6.Hard
230 V200 HzR = 100 ΩL = 150 mHC = 1 µFI

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the rms current I.

V = 230 V (rms)f = 200 HzR = 100 ΩL = 150 mHC = 1 µF
I = A

Answer key

  1. 1. XC = 318.3 Ω
  2. 2. I = 0.2089 A
  3. 3. φ = 75.56 °
  4. 4. |Z| = 24.16 Ω
  5. 5. B = 119.4 Hz
  6. 6. I = 0.3737 A

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