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
24 V60 HzR = 30 ΩL = 250 mH

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 30 ΩL = 250 mH
|Z| = Ω
2.Easy
V200 HzL = 50 mH

Find the reactance XL of a 50 mH inductor at 200 Hz.

L = 50 mHf = 200 Hz
XL = Ω
3.Medium
230 V500 HzR = 60 ΩL = 200 mHC = 2.2 µFI

A series RLC circuit is connected to a 230 V (rms), 500 Hz supply. Find the rms current I.

V = 230 V (rms)f = 500 HzR = 60 ΩL = 200 mHC = 2.2 µF
I = A
4.Medium
Vf0​ = 500 HzRL = 1 mHC = ?

A series RLC circuit with L = 1 mH must resonate at 500 Hz. Find the capacitance C needed.

f0 = 500 HzL = 1 mH
C = µF
5.Hard
24 V200 HzR1​ = 10 ΩR2​ = 80 ΩC = 4.7 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 200 HzR1 = 10 ΩR2 = 80 ΩC = 4.7 µF
|Z| = Ω
6.Hard
VfR = 15 ΩL = 2 mHC = 1 µF

A series RLC circuit has R = 15 Ω, L = 2 mH and C = 1 µF. Find its quality factor Q at resonance.

R = 15 ΩL = 2 mHC = 1 µF
Q =

Answer key

  1. 1. |Z| = 98.91 Ω
  2. 2. XL = 62.83 Ω
  3. 3. I = 0.4719 A
  4. 4. C = 101.3 µF
  5. 5. |Z| = 81.49 Ω
  6. 6. Q = 2.981

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