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
100 V60 HzR = 100 ΩL = 50 mH

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 60 HzR = 100 ΩL = 50 mH
|Z| = Ω
2.Easy
V200 HzL = 1 mH

Find the reactance XL of a 1 mH inductor at 200 Hz.

L = 1 mHf = 200 Hz
XL = Ω
3.Medium
50 V200 HzR = 15 ΩC = 100 µFI

A resistor and a capacitor are connected in parallel across a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 15 ΩC = 100 µF
I = A
4.Medium
100 V200 HzR = 60 ΩL = 250 mHC = 47 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 60 ΩL = 250 mHC = 47 µF
I = A
5.Hard
VfR = 15 ΩL = 100 mHC = 1 µF

A series RLC circuit has R = 15 Ω, L = 100 mH and C = 1 µF. Find its quality factor Q at resonance.

R = 15 ΩL = 100 mHC = 1 µF
Q =
6.Hard
24 V500 HzR1​ = 20 ΩR2​ = 60 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), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 500 HzR1 = 20 ΩR2 = 60 ΩC = 4.7 µF
|Z| = Ω

Answer key

  1. 1. |Z| = 101.8 Ω
  2. 2. XL = 1.257 Ω
  3. 3. I = 7.113 A
  4. 4. I = 0.3298 A
  5. 5. Q = 21.08
  6. 6. |Z| = 61.33 Ω

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