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
230 V50 HzR = 30 ΩC = 10 µFI

A series RC circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 30 ΩC = 10 µF
I = A
2.Easy
12 V60 HzR = 15 ΩL = 250 mHI

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 15 ΩL = 250 mH
I = A
3.Medium
12 V200 HzR = 80 ΩL = 250 mHC = 2.2 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 80 ΩL = 250 mHC = 2.2 µF
I = A
4.Medium
12 V100 HzR = 40 ΩL = 150 mHC = 10 µF

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 100 HzR = 40 ΩL = 150 mHC = 10 µF
φ = °
5.Hard
24 V500 HzR = 80 ΩL = 200 mHC = 1 µFI

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 80 ΩL = 200 mHC = 1 µF
I = A
6.Hard
VfR = 15 ΩL = 200 mHC = 1 µF

A series RLC circuit has R = 15 Ω, L = 200 mH and C = 1 µF. Find its quality factor Q at resonance.

R = 15 ΩL = 200 mHC = 1 µF
Q =

Answer key

  1. 1. I = 0.7194 A
  2. 2. I = 0.1257 A
  3. 3. I = 0.1289 A
  4. 4. φ = −58.36 °
  5. 5. I = 0.07496 A
  6. 6. Q = 29.81

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