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
12 V50 HzR = 25 ΩL = 100 mHI

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

V = 12 V (rms)f = 50 HzR = 25 ΩL = 100 mH
I = A
2.Easy
10 V60 HzR = 30 ΩL = 200 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 = 30 ΩL = 200 mH
|Z| = Ω
3.Medium
100 V1000 HzR = 50 ΩL = 150 mHC = 1 µF

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 1000 HzR = 50 ΩL = 150 mHC = 1 µF
φ = °
4.Medium
100 V200 HzR = 100 ΩL = 150 mHI

A resistor and an inductor are connected in parallel across a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 100 ΩL = 150 mH
I = A
5.Hard
12 V200 HzR = 50 ΩL = 250 mHC = 1 µF

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 200 HzR = 50 ΩL = 250 mHC = 1 µF
f0 = Hz
6.Hard
VfR = 50 ΩL = 10 mHC = 0.022 µF

A series RLC circuit has R = 50 Ω, L = 10 mH and C = 0.022 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 50 ΩL = 10 mHC = 0.022 µF
B = Hz

Answer key

  1. 1. I = 0.2989 A
  2. 2. |Z| = 81.15 Ω
  3. 3. φ = 86.35 °
  4. 4. I = 1.132 A
  5. 5. f0 = 318.3 Hz
  6. 6. B = 795.8 Hz

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