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 V60 HzR = 20 ΩL = 250 mHI

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

V = 120 V (rms)f = 60 HzR = 20 ΩL = 250 mH
I = A
2.Easy
V50 HzL = 500 mH

Find the reactance XL of a 500 mH inductor at 50 Hz.

L = 500 mHf = 50 Hz
XL = Ω
3.Medium
100 V200 HzR = 25 ΩL = 200 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 200 HzR = 25 ΩL = 200 mHC = 22 µF
P = W
4.Medium
12 V200 HzR = 50 ΩL = 100 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 50 ΩL = 100 mHC = 100 µF
I = A
5.Hard
10 V200 HzR = 15 ΩL = 200 mHC = 4.7 µF

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 10 V (rms)f = 200 HzR = 15 ΩL = 200 mHC = 4.7 µF
f0 = Hz
6.Hard
10 V500 HzR = 30 ΩL = 200 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 500 HzR = 30 ΩL = 200 mHC = 4.7 µF
VC = V

Answer key

  1. 1. I = 1.246 A
  2. 2. XL = 157.1 Ω
  3. 3. P = 5.329 W
  4. 4. I = 0.09383 A
  5. 5. f0 = 164.2 Hz
  6. 6. VC = 1.206 V

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