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
V500 HzC = 2.2 µF

Find the reactance XC of a 2.2 µF capacitor at 500 Hz.

C = 2.2 µFf = 500 Hz
XC = Ω
2.Easy
10 V50 HzR = 80 ΩL = 250 mH

A series RL circuit is connected to a 10 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 50 HzR = 80 ΩL = 250 mH
|Z| = Ω
3.Medium
230 V200 HzR = 100 ΩL = 20 mHC = 4.7 µFI

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the rms current I.

V = 230 V (rms)f = 200 HzR = 100 ΩL = 20 mHC = 4.7 µF
I = A
4.Medium
Vf0​ = 1000 HzRL = ?C = 0.1 µF

A series RLC circuit with C = 0.1 µF must resonate at 1000 Hz. Find the inductance L needed.

f0 = 1000 HzC = 0.1 µF
L = mH
5.Hard
12 V60 HzR = 100 ΩL = 20 mHC = 100 µF

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 60 HzR = 100 ΩL = 20 mHC = 100 µF
f0 = Hz
6.Hard
12 V100 HzR1​ = 50 ΩR2​ = 80 ΩC = 10 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 100 Hz supply. Find the rms current I.

V = 12 V (rms)f = 100 HzR1 = 50 ΩR2 = 80 ΩC = 10 µF
I = A

Answer key

  1. 1. XC = 144.7 Ω
  2. 2. |Z| = 112.1 Ω
  3. 3. I = 1.311 A
  4. 4. L = 253.3 mH
  5. 5. f0 = 112.5 Hz
  6. 6. I = 0.1014 A

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