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
50 V1000 HzR = 15 ΩC = 2.2 µF

A series RC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 1000 HzR = 15 ΩC = 2.2 µF
φ = °
2.Easy
120 V50 HzR = 20 ΩL = 50 mHI

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 20 ΩL = 50 mH
I = A
3.Medium
50 V200 HzR = 80 ΩL = 100 mHC = 10 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 80 ΩL = 100 mHC = 10 µF
I = A
4.Medium
12 V50 HzR = 30 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 30 ΩL = 50 mHC = 22 µF
I = A
5.Hard
10 V1000 HzR = 60 ΩL = 100 mHC = 22 µFI

A series RLC circuit is connected to a 10 V (rms), 1000 Hz supply. Find the rms current I.

V = 10 V (rms)f = 1000 HzR = 60 ΩL = 100 mHC = 22 µF
I = A
6.Hard
230 V50 HzR = 15 ΩL = 150 mHC = 100 µF

A series RLC circuit is connected to a 230 V (rms), 50 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 50 HzR = 15 ΩL = 150 mHC = 100 µF
f0 = Hz

Answer key

  1. 1. φ = −78.29 °
  2. 2. I = 4.719 A
  3. 3. I = 0.5416 A
  4. 4. I = 0.09062 A
  5. 5. I = 0.01603 A
  6. 6. f0 = 41.09 Hz

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