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
230 V50 HzR = 100 ΩL = 250 mHI

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 100 ΩL = 250 mH
I = A
2.Easy
V1000 HzL = 50 mH

Find the reactance XL of a 50 mH inductor at 1000 Hz.

L = 50 mHf = 1000 Hz
XL = Ω
3.Medium
50 V200 HzR = 20 ΩL = 50 mHC = 47 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 = 20 ΩL = 50 mHC = 47 µF
I = A
4.Medium
Vf0​ = 2000 HzRL = 100 mHC = ?

A series RLC circuit with L = 100 mH must resonate at 2000 Hz. Find the capacitance C needed.

f0 = 2000 HzL = 100 mH
C = µF
5.Hard
50 V50 HzR = 20 ΩL = 200 mHC = 100 µFI

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

V = 50 V (rms)f = 50 HzR = 20 ΩL = 200 mHC = 100 µF
I = A
6.Hard
230 V50 HzR1​ = 30 ΩR2​ = 40 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR1 = 30 ΩR2 = 40 ΩC = 100 µF
I = A

Answer key

  1. 1. I = 1.809 A
  2. 2. XL = 314.2 Ω
  3. 3. I = 0.9986 A
  4. 4. C = 0.06333 µF
  5. 5. I = 1.355 A
  6. 6. I = 4.646 A

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