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 V50 HzR = 40 ΩL = 200 mHI

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 40 ΩL = 200 mH
I = A
2.Easy
100 V200 HzR = 60 ΩC = 4.7 µFI

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

V = 100 V (rms)f = 200 HzR = 60 ΩC = 4.7 µF
I = A
3.Medium
100 V50 HzR = 80 ΩC = 47 µFI

A resistor and a capacitor are connected in parallel across a 100 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 50 HzR = 80 ΩC = 47 µF
|Z| = Ω
4.Medium
24 V50 HzR = 50 ΩL = 200 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 50 HzR = 50 ΩL = 200 mH
φ = °
5.Hard
100 V200 HzR1​ = 10 ΩR2​ = 30 ΩC = 22 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 200 HzR1 = 10 ΩR2 = 30 ΩC = 22 µF
|Z| = Ω
6.Hard
5 Vf0​R = 20 ΩL = 5 mHC = 2.2 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 20 ΩL = 5 mHC = 2.2 µF
VL = V

Answer key

  1. 1. I = 0.3222 A
  2. 2. I = 0.5567 A
  3. 3. |Z| = 51.69 Ω
  4. 4. φ = 38.51 °
  5. 5. |Z| = 31.44 Ω
  6. 6. VL = 11.92 V

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