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
V60 HzC = 0.1 µF

Find the reactance XC of a 0.1 µF capacitor at 60 Hz.

C = 0.1 µFf = 60 Hz
XC = Ω
2.Easy
50 V60 HzR = 60 ΩL = 50 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 60 ΩL = 50 mH
I = A
3.Medium
Vf0​ = 200 HzRL = 5 mHC = ?

A series RLC circuit with L = 5 mH must resonate at 200 Hz. Find the capacitance C needed.

f0 = 200 HzL = 5 mH
C = µF
4.Medium
Vf0​ = 1000 HzRL = 5 mHC = ?

A series RLC circuit with L = 5 mH must resonate at 1000 Hz. Find the capacitance C needed.

f0 = 1000 HzL = 5 mH
C = µF
5.Hard
100 V500 HzR1​ = 30 ΩR2​ = 60 ΩC = 4.7 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 500 Hz supply. Find the rms current I.

V = 100 V (rms)f = 500 HzR1 = 30 ΩR2 = 60 ΩC = 4.7 µF
I = A
6.Hard
50 V50 HzR = 60 ΩL = 250 mHC = 22 µF

A series RLC circuit is connected to a 50 V (rms), 50 Hz supply. Find the resonant frequency f0 of the circuit.

V = 50 V (rms)f = 50 HzR = 60 ΩL = 250 mHC = 22 µF
f0 = Hz

Answer key

  1. 1. XC = 26526 Ω
  2. 2. I = 0.795 A
  3. 3. C = 126.7 µF
  4. 4. C = 5.066 µF
  5. 5. I = 1.424 A
  6. 6. f0 = 67.86 Hz

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