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 = 60 ΩC = 2.2 µF

A series RC circuit is connected to a 24 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 100 HzR = 60 ΩC = 2.2 µF
φ = °
2.Easy
12 V50 HzR = 60 ΩC = 47 µFI

A series RC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 60 ΩC = 47 µF
I = A
3.Medium
10 V50 HzR = 50 ΩL = 250 mHC = 4.7 µF

A series RLC circuit is connected to a 10 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 50 HzR = 50 ΩL = 250 mHC = 4.7 µF
φ = °
4.Medium
50 V500 HzR = 20 ΩL = 50 mHC = 100 µFI

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms current I.

V = 50 V (rms)f = 500 HzR = 20 ΩL = 50 mHC = 100 µF
I = A
5.Hard
120 V50 HzR = 60 ΩL = 250 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 60 ΩL = 250 mHC = 4.7 µF
I = A
6.Hard
VfR = 20 ΩL = 1 mHC = 0.022 µF

A series RLC circuit has R = 20 Ω, L = 1 mH and C = 0.022 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 20 ΩL = 1 mHC = 0.022 µF
B = Hz

Answer key

  1. 1. φ = −85.26 °
  2. 2. I = 0.1326 A
  3. 3. φ = −85.23 °
  4. 4. I = 0.3222 A
  5. 5. I = 0.1994 A
  6. 6. B = 3183 Hz

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