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
10 V500 HzR = 40 ΩC = 22 µFI

A series RC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 40 ΩC = 22 µF
I = A
2.Easy
120 V50 HzR = 15 ΩL = 150 mH

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 50 HzR = 15 ΩL = 150 mH
|Z| = Ω
3.Medium
12 V60 HzR = 50 ΩL = 100 mHC = 4.7 µFI

A series RLC 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 = 100 mHC = 4.7 µF
I = A
4.Medium
Vf0​ = 50 HzRL = ?C = 4.7 µF

A series RLC circuit with C = 4.7 µF must resonate at 50 Hz. Find the inductance L needed.

f0 = 50 HzC = 4.7 µF
L = mH
5.Hard
100 V500 HzR1​ = 30 ΩR2​ = 100 ΩC = 4.7 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 500 HzR1 = 30 ΩR2 = 100 ΩC = 4.7 µF
|Z| = Ω
6.Hard
12 V500 HzR = 20 ΩL = 200 mHC = 1 µFI

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the rms current I.

V = 12 V (rms)f = 500 HzR = 20 ΩL = 200 mHC = 1 µF
I = A

Answer key

  1. 1. I = 0.2351 A
  2. 2. |Z| = 49.45 Ω
  3. 3. I = 0.02268 A
  4. 4. L = 2156 mH
  5. 5. |Z| = 77.01 Ω
  6. 6. I = 0.03863 A

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