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
10 V50 HzR = 30 ΩL = 50 mHI

A series RL circuit is connected to a 10 V (rms), 50 Hz supply. Find the rms current I.

V = 10 V (rms)f = 50 HzR = 30 ΩL = 50 mH
I = A
2.Easy
12 V60 HzR = 15 ΩL = 50 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 12 V (rms)f = 60 HzR = 15 ΩL = 50 mH
VL = V
3.Medium
50 V200 HzR = 40 ΩL = 200 mHC = 22 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 = 40 ΩL = 200 mHC = 22 µF
I = A
4.Medium
120 V60 HzR = 100 ΩL = 100 mHC = 10 µFI

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the real power P taken from the supply.

V = 120 V (rms)f = 60 HzR = 100 ΩL = 100 mHC = 10 µF
P = W
5.Hard
VfR = 10 ΩL = 20 mHC = 0.22 µF

A series RLC circuit has R = 10 Ω, L = 20 mH and C = 0.22 µF. Find its quality factor Q at resonance.

R = 10 ΩL = 20 mHC = 0.22 µF
Q =
6.Hard
12 V60 HzR1​ = 15 ΩR2​ = 30 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR1 = 15 ΩR2 = 30 ΩC = 100 µF
I = A

Answer key

  1. 1. I = 0.2953 A
  2. 2. VL = 9.39 V
  3. 3. I = 0.2285 A
  4. 4. P = 23.31 W
  5. 5. Q = 30.15
  6. 6. I = 0.3767 A

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