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
V200 HzC = 0.1 µF

Find the reactance XC of a 0.1 µF capacitor at 200 Hz.

C = 0.1 µFf = 200 Hz
XC = Ω
2.Easy
50 V60 HzR = 20 ΩL = 150 mH

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 50 V (rms)f = 60 HzR = 20 ΩL = 150 mH
VL = V
3.Medium
50 V50 HzR = 80 ΩL = 100 mHI

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

V = 50 V (rms)f = 50 HzR = 80 ΩL = 100 mH
|Z| = Ω
4.Medium
10 V100 HzR = 40 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 10 V (rms), 100 Hz supply. Find the rms current I.

V = 10 V (rms)f = 100 HzR = 40 ΩL = 150 mHC = 22 µF
I = A
5.Hard
10 V100 HzR = 50 ΩL = 200 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 100 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 100 HzR = 50 ΩL = 200 mHC = 22 µF
VC = V
6.Hard
12 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 12 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 100 HzR1 = 15 ΩR2 = 20 ΩC = 100 µF
|Z| = Ω

Answer key

  1. 1. XC = 7958 Ω
  2. 2. VL = 47.14 V
  3. 3. |Z| = 29.24 Ω
  4. 4. I = 0.2193 A
  5. 5. VC = 9.897 V
  6. 6. |Z| = 24.75 Ω

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