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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Name: ____________________ Date: ____________

1.Easy

Find the reactance X_C of a 4.7 µF capacitor at 100 Hz.

C = 4.7 µFf = 100 Hz

X_C = Ω

2.Easy

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

V = 50 V (rms)f = 50 HzR = 20 ΩL = 150 mH

I = A

3.Medium

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 25 ΩL = 150 mHC = 10 µF

I = A

4.Medium

A resistor and a capacitor are connected in parallel across a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 100 ΩC = 2.2 µF

φ = °

5.Hard

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage V_L across the inductor.

V = 1 V (rms)R = 2 ΩL = 50 mHC = 10 µF

V_L = V

6.Hard

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the resonant frequency f₀ of the circuit.

V = 100 V (rms)f = 1000 HzR = 100 ΩL = 20 mHC = 100 µF

f₀ = Hz

Answer key

1. X_C = 338.6 Ω
2. I = 0.9767 A
3. I = 0.04406 A
4. φ = −15.45 °
5. V_L = 35.36 V
6. f₀ = 112.5 Hz

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