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
12 V500 HzR = 60 ΩC = 22 µFI

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

V = 12 V (rms)f = 500 HzR = 60 ΩC = 22 µF
I = A
2.Easy
V500 HzL = 2.2 mH

Find the reactance XL of a 2.2 mH inductor at 500 Hz.

L = 2.2 mHf = 500 Hz
XL = Ω
3.Medium
12 V100 HzR = 60 ΩL = 150 mHC = 10 µF

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 100 HzR = 60 ΩL = 150 mHC = 10 µF
φ = °
4.Medium
24 V60 HzR = 40 ΩL = 100 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 40 ΩL = 100 mH
|Z| = Ω
5.Hard
VfR = 15 ΩL = 2 mHC = 0.047 µF

A series RLC circuit has R = 15 Ω, L = 2 mH and C = 0.047 µF. Find its quality factor Q at resonance.

R = 15 ΩL = 2 mHC = 0.047 µF
Q =
6.Hard
10 V60 HzR = 40 ΩL = 200 mHC = 10 µF

A series RLC circuit is connected to a 10 V (rms), 60 Hz supply. Find the resonant frequency f0 of the circuit.

V = 10 V (rms)f = 60 HzR = 40 ΩL = 200 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. I = 0.1944 A
  2. 2. XL = 6.912 Ω
  3. 3. φ = −47.25 °
  4. 4. |Z| = 27.43 Ω
  5. 5. Q = 13.75
  6. 6. f0 = 112.5 Hz

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