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 = 15 ΩC = 22 µFI

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

V = 24 V (rms)f = 50 HzR = 15 ΩC = 22 µF
I = A
2.Easy
12 V60 HzR = 50 ΩL = 200 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 = 50 ΩL = 200 mH
I = A
3.Medium
50 V100 HzR = 20 ΩL = 100 mHC = 22 µF

A series RLC circuit is connected to a 50 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 100 HzR = 20 ΩL = 100 mHC = 22 µF
φ = °
4.Medium
12 V100 HzR = 100 ΩL = 20 mHC = 10 µFI

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 100 HzR = 100 ΩL = 20 mHC = 10 µF
P = W
5.Hard
VfR = 50 ΩL = 1 mHC = 0.01 µF

A series RLC circuit has R = 50 Ω, L = 1 mH and C = 0.01 µF. Find its quality factor Q at resonance.

R = 50 ΩL = 1 mHC = 0.01 µF
Q =
6.Hard
100 V100 HzR1​ = 15 ΩR2​ = 20 ΩC = 100 µF

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

V = 100 V (rms)f = 100 HzR1 = 15 ΩR2 = 20 ΩC = 100 µF
|Z| = Ω

Answer key

  1. 1. I = 0.165 A
  2. 2. I = 0.1326 A
  3. 3. φ = −25.43 °
  4. 4. P = 0.4573 W
  5. 5. Q = 6.325
  6. 6. |Z| = 24.75 Ω

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