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

V = 100 V (rms)f = 50 HzR = 50 ΩL = 20 mH

I = A

2.Easy

A series RL circuit is connected to a 230 V (rms), 200 Hz supply. Find the rms voltage V_L across the inductor.

V = 230 V (rms)f = 200 HzR = 15 ΩL = 20 mH

V_L = V

3.Medium

A series RLC circuit is connected to a 100 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 50 HzR = 50 ΩL = 150 mHC = 100 µF

φ = °

4.Medium

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 1000 HzR = 50 ΩL = 100 mHC = 4.7 µF

φ = °

5.Hard

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 50 ΩL = 200 mHC = 100 µF

I = A

6.Hard

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the rms current I.

V = 120 V (rms)f = 1000 HzR = 20 ΩL = 50 mHC = 22 µF

I = A

Answer key

1. I = 1.984 A
2. V_L = 197.5 V
3. φ = 17.01 °
4. φ = 85.19 °
5. I = 1.43 A
6. I = 0.3901 A

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