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
120 V100 HzR = 30 ΩL = 100 mH

A series RL circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 120 V (rms)f = 100 HzR = 30 ΩL = 100 mH
VL = V
2.Easy
V1000 HzL = 200 mH

Find the reactance XL of a 200 mH inductor at 1000 Hz.

L = 200 mHf = 1000 Hz
XL = Ω
3.Medium
120 V60 HzR = 50 ΩL = 100 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 50 ΩL = 100 mHC = 4.7 µF
I = A
4.Medium
24 V500 HzR = 30 ΩL = 100 mHC = 10 µFI

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 30 ΩL = 100 mHC = 10 µF
I = A
5.Hard
24 V50 HzR1​ = 50 ΩR2​ = 50 ΩC = 22 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR1 = 50 ΩR2 = 50 ΩC = 22 µF
|Z| = Ω
6.Hard
230 V1000 HzR = 15 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 230 V (rms), 1000 Hz supply. Find the rms current I.

V = 230 V (rms)f = 1000 HzR = 15 ΩL = 50 mHC = 1 µF
I = A

Answer key

  1. 1. VL = 108.3 V
  2. 2. XL = 1257 Ω
  3. 3. I = 0.2268 A
  4. 4. I = 0.08453 A
  5. 5. |Z| = 95.92 Ω
  6. 6. I = 1.477 A

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