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 RC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 1000 HzR = 50 ΩC = 2.2 µF

|Z| = Ω

2.Easy

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

V = 120 V (rms)f = 60 HzR = 10 ΩL = 100 mH

I = A

3.Medium

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 200 HzR = 40 ΩL = 100 mHC = 1 µF

φ = °

4.Medium

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 1000 HzR = 15 ΩL = 20 mHC = 10 µF

φ = °

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 = 200 mHC = 10 µF

V_L = V

6.Hard

A series RLC circuit is driven by a 12 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage V_L across the inductor.

V = 12 V (rms)R = 20 ΩL = 50 mHC = 0.22 µF

V_L = V

Answer key

1. |Z| = 87.94 Ω
2. I = 3.077 A
3. φ = −86.58 °
4. φ = 82.22 °
5. V_L = 169.7 V
6. V_L = 286 V

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