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 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 25 ΩL = 250 mH

I = A

2.Easy

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 25 ΩL = 100 mH

|Z| = Ω

3.Medium

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms current I.

V = 120 V (rms)f = 200 HzR = 50 ΩL = 100 mHC = 1 µF

I = A

4.Medium

A series RLC 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 ΩL = 50 mHC = 2.2 µF

φ = °

5.Hard

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms voltage V_C across the capacitor.

V = 12 V (rms)f = 50 HzR = 100 ΩL = 50 mHC = 100 µF

V_C = V

6.Hard

A series RLC circuit has R = 5 Ω, L = 10 mH and C = 0.22 µF. Find its quality factor Q at resonance.

R = 5 ΩL = 10 mHC = 0.22 µF

Q =

Answer key

1. I = 2.79 A
2. |Z| = 40.15 Ω
3. I = 0.1786 A
4. φ = 51.1 °
5. V_C = 3.771 V
6. Q = 42.64

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