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 120 V (rms), 60 Hz supply. Find the rms voltage V_R across the resistor.

V = 120 V (rms)f = 60 HzR = 100 ΩL = 150 mH

V_R = V

2.Easy

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 50 HzR = 30 ΩL = 50 mH

|Z| = Ω

3.Medium

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 100 HzR = 60 ΩL = 50 mHC = 10 µF

φ = °

4.Medium

A series RLC circuit is connected to a 230 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 50 HzR = 100 ΩL = 20 mHC = 100 µF

φ = °

5.Hard

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the rms voltage V_C across the capacitor.

V = 12 V (rms)f = 1000 HzR = 20 ΩL = 20 mHC = 2.2 µF

V_C = V

6.Hard

A series RLC circuit is connected to a 230 V (rms), 1000 Hz supply. Find the rms voltage V_C across the capacitor.

V = 230 V (rms)f = 1000 HzR = 80 ΩL = 150 mHC = 22 µF

V_C = V

Answer key

1. V_R = 104.5 V
2. |Z| = 33.86 Ω
3. φ = −64.84 °
4. φ = −14.33 °
5. V_C = 15.24 V
6. V_C = 1.773 V

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