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
V1000 HzC = 4.7 µF

Find the reactance XC of a 4.7 µF capacitor at 1000 Hz.

C = 4.7 µFf = 1000 Hz
XC = Ω
2.Easy
120 V50 HzR = 20 ΩL = 250 mHI

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

V = 120 V (rms)f = 50 HzR = 20 ΩL = 250 mH
I = A
3.Medium
24 V100 HzR = 80 ΩL = 20 mHC = 22 µFI

A series RLC circuit is connected to a 24 V (rms), 100 Hz supply. Find the power factor cos φ of the circuit.

V = 24 V (rms)f = 100 HzR = 80 ΩL = 20 mHC = 22 µF
cos φ =
4.Medium
50 V1000 HzR = 100 ΩL = 150 mHC = 4.7 µF

A series RLC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 1000 HzR = 100 ΩL = 150 mHC = 4.7 µF
φ = °
5.Hard
100 V200 HzR = 100 ΩL = 200 mHC = 4.7 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 100 ΩL = 200 mHC = 4.7 µF
I = A
6.Hard
24 V500 HzR1​ = 20 ΩR2​ = 20 ΩC = 47 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 500 HzR1 = 20 ΩR2 = 20 ΩC = 47 µF
|Z| = Ω

Answer key

  1. 1. XC = 33.86 Ω
  2. 2. I = 1.481 A
  3. 3. cos φ = 0.8011
  4. 4. φ = 83.72 °
  5. 5. I = 0.7732 A
  6. 6. |Z| = 22.88 Ω

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