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
12 V60 HzR = 10 ΩL = 250 mHI

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 10 ΩL = 250 mH
I = A
2.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
3.Medium
100 V60 HzR = 25 ΩL = 50 mHC = 10 µFI

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 60 HzR = 25 ΩL = 50 mHC = 10 µF
P = W
4.Medium
50 V200 HzR = 20 ΩL = 20 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 200 HzR = 20 ΩL = 20 mH
|Z| = Ω
5.Hard
230 V60 HzR = 40 ΩL = 250 mHC = 100 µFI

A series RLC circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms current I.

V = 230 V (rms)f = 60 HzR = 40 ΩL = 250 mHC = 100 µF
I = A
6.Hard
50 V50 HzR = 25 ΩL = 100 mHC = 22 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 = 25 ΩL = 100 mHC = 22 µF
I = A

Answer key

  1. 1. I = 0.1266 A
  2. 2. XC = 26526 Ω
  3. 3. P = 4.075 W
  4. 4. |Z| = 15.65 Ω
  5. 5. I = 2.924 A
  6. 6. I = 0.431 A

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