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
V50 HzC = 2.2 µF

Find the reactance XC of a 2.2 µF capacitor at 50 Hz.

C = 2.2 µFf = 50 Hz
XC = Ω
2.Easy
50 V50 HzR = 50 ΩL = 50 mH

A series RL circuit is connected to a 50 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 50 HzR = 50 ΩL = 50 mH
|Z| = Ω
3.Medium
24 V50 HzR = 50 ΩL = 250 mHC = 100 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 50 HzR = 50 ΩL = 250 mHC = 100 µF
P = W
4.Medium
100 V60 HzR = 30 ΩL = 50 mHC = 47 µF

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 60 HzR = 30 ΩL = 50 mHC = 47 µF
φ = °
5.Hard
24 V200 HzR1​ = 10 ΩR2​ = 80 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), 200 Hz supply. Find the rms current I.

V = 24 V (rms)f = 200 HzR1 = 10 ΩR2 = 80 ΩC = 22 µF
I = A
6.Hard
12 V1000 HzR = 30 ΩL = 20 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 1000 HzR = 30 ΩL = 20 mHC = 22 µF
VC = V

Answer key

  1. 1. XC = 1447 Ω
  2. 2. |Z| = 52.41 Ω
  3. 3. P = 6.152 W
  4. 4. φ = −51.41 °
  5. 5. I = 0.6286 A
  6. 6. VC = 0.7106 V

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