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), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 200 HzR = 80 ΩC = 47 µF

φ = °

2.Easy

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 = 30 ΩL = 50 mH

|Z| = Ω

3.Medium

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 1000 HzR = 80 ΩL = 250 mHC = 1 µF

φ = °

4.Medium

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 500 HzR = 15 ΩL = 20 mHC = 100 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 = 10 ΩL = 50 mHC = 4.7 µF

V_L = V

6.Hard

A series RLC circuit is connected to a 50 V (rms), 50 Hz supply. Find the resonant frequency f₀ of the circuit.

V = 50 V (rms)f = 50 HzR = 25 ΩL = 20 mHC = 22 µF

f₀ = Hz

Answer key

1. φ = −11.95 °
2. |Z| = 33.86 Ω
3. φ = 86.76 °
4. φ = 75.88 °
5. V_L = 247.5 V
6. f₀ = 239.9 Hz

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