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
12 V50 HzR = 60 ΩL = 200 mH

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 50 HzR = 60 ΩL = 200 mH
|Z| = Ω
3.Medium
230 V200 HzR = 60 ΩL = 100 mHC = 2.2 µFI

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the rms current I.

V = 230 V (rms)f = 200 HzR = 60 ΩL = 100 mHC = 2.2 µF
I = A
4.Medium
100 V200 HzR = 50 ΩL = 20 mHI

A resistor and an inductor are connected in parallel across a 100 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 200 HzR = 50 ΩL = 20 mH
|Z| = Ω
5.Hard
100 V200 HzR = 80 ΩL = 100 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 200 HzR = 80 ΩL = 100 mHC = 2.2 µF
VC = V
6.Hard
12 V200 HzR1​ = 50 ΩR2​ = 150 ΩC = 2.2 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR1 = 50 ΩR2 = 150 ΩC = 2.2 µF
I = A

Answer key

  1. 1. XC = 7958 Ω
  2. 2. |Z| = 86.88 Ω
  3. 3. I = 0.9443 A
  4. 4. |Z| = 22.46 Ω
  5. 5. VC = 145.1 V
  6. 6. I = 0.06461 A

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