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

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 50 HzR = 25 ΩL = 100 mH

|Z| = Ω

2.Easy

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 15 ΩL = 20 mH

I = A

3.Medium

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 30 ΩL = 200 mHC = 100 µF

I = A

4.Medium

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 120 V (rms)f = 200 HzR = 60 ΩL = 20 mHC = 2.2 µF

P = W

5.Hard

A series RLC circuit is driven by a 24 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage V_L across the inductor.

V = 24 V (rms)R = 20 ΩL = 10 mHC = 0.1 µF

V_L = V

6.Hard

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms current I.

V = 120 V (rms)f = 200 HzR = 20 ΩL = 200 mHC = 2.2 µF

I = A

Answer key

1. |Z| = 40.15 Ω
2. I = 7.379 A
3. I = 2.093 A
4. P = 7.392 W
5. V_L = 379.5 V
6. I = 1.07 A

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