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 = 150 ΩC = 47 µFI

A series RC circuit is connected to a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR = 150 ΩC = 47 µF
I = A
2.Easy
100 V200 HzR = 220 ΩC = 2.2 µF

A series RC circuit is connected to a 100 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 200 HzR = 220 ΩC = 2.2 µF
|Z| = Ω
3.Medium
12 V200 HzR = 30 ΩL = 200 mHC = 1 µF

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 200 HzR = 30 ΩL = 200 mHC = 1 µF
φ = °
4.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 real power P taken from the supply.

V = 24 V (rms)f = 100 HzR = 80 ΩL = 20 mHC = 22 µF
P = W
5.Hard
24 V100 HzR1​ = 25 ΩR2​ = 30 ΩC = 22 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR1 = 25 ΩR2 = 30 ΩC = 22 µF
I = A
6.Hard
12 V100 HzR = 100 ΩL = 150 mHC = 22 µF

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 100 HzR = 100 ΩL = 150 mHC = 22 µF
f0 = Hz

Answer key

  1. 1. I = 0.1561 A
  2. 2. |Z| = 423.4 Ω
  3. 3. φ = −86.85 °
  4. 4. P = 4.62 W
  5. 5. I = 0.4642 A
  6. 6. f0 = 87.61 Hz

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