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
10 V60 HzR = 25 ΩL = 20 mH

A series RL circuit is connected to a 10 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 60 HzR = 25 ΩL = 20 mH
|Z| = Ω
2.Easy
Vf = ?L = 50 mH

At what frequency f does a 50 mH inductor have a reactance of 500 Ω?

L = 50 mHXL = 500 Ω
f = Hz
3.Medium
24 V200 HzR = 15 ΩL = 200 mHC = 4.7 µF

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 15 ΩL = 200 mHC = 4.7 µF
φ = °
4.Medium
120 V50 HzR = 30 ΩL = 150 mHC = 22 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 = 30 ΩL = 150 mHC = 22 µF
I = A
5.Hard
120 V500 HzR1​ = 10 ΩR2​ = 50 ΩC = 10 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 120 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 500 HzR1 = 10 ΩR2 = 50 ΩC = 10 µF
|Z| = Ω
6.Hard
VfR = 100 ΩL = 200 mHC = 0.01 µF

A series RLC circuit has R = 100 Ω, L = 200 mH and C = 0.01 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 100 ΩL = 200 mHC = 0.01 µF
B = Hz

Answer key

  1. 1. |Z| = 26.11 Ω
  2. 2. f = 1592 Hz
  3. 3. φ = 79.64 °
  4. 4. I = 1.176 A
  5. 5. |Z| = 33.31 Ω
  6. 6. B = 79.58 Hz

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