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 24 V (rms), 200 Hz supply. Find the rms voltage V_R across the resistor.

V = 24 V (rms)f = 200 HzR = 10 ΩL = 50 mH

V_R = V

2.Easy

A series RC circuit is connected to a 10 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 500 HzR = 10 ΩC = 4.7 µF

φ = °

3.Medium

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

V = 100 V (rms)f = 100 HzR = 15 ΩL = 100 mHC = 22 µF

φ = °

4.Medium

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 40 ΩL = 50 mHC = 4.7 µF

I = A

5.Hard

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the resonant frequency f₀ of the circuit.

V = 10 V (rms)f = 200 HzR = 40 ΩL = 250 mHC = 2.2 µF

f₀ = Hz

6.Hard

A resistor R₁ is connected in series with a parallel combination of R₂ and a capacitor C, across a 120 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 100 HzR₁ = 50 ΩR₂ = 40 ΩC = 10 µF

|Z| = Ω

Answer key

1. V_R = 3.772 V
2. φ = −81.6 °
3. φ = −32.38 °
4. I = 0.1055 A
5. f₀ = 214.6 Hz
6. |Z| = 88.13 Ω

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