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 12 V (rms), 60 Hz supply. Find the rms voltage V_L across the inductor.

V = 12 V (rms)f = 60 HzR = 15 ΩL = 20 mH

V_L = V

2.Easy

A series RC circuit is connected to a 12 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 500 HzR = 220 ΩC = 10 µF

φ = °

3.Medium

A series RLC circuit is connected to a 10 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 50 HzR = 50 ΩL = 250 mHC = 4.7 µF

φ = °

4.Medium

A series RLC circuit is connected to a 50 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 60 HzR = 60 ΩL = 200 mHC = 4.7 µF

φ = °

5.Hard

A series RLC circuit is connected to a 50 V (rms), 100 Hz supply. Find the rms voltage V_C across the capacitor.

V = 50 V (rms)f = 100 HzR = 100 ΩL = 150 mHC = 22 µF

V_C = V

6.Hard

A series RLC circuit has R = 20 Ω, L = 2 mH and C = 0.22 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 20 ΩL = 2 mHC = 0.22 µF

B = Hz

Answer key

1. V_L = 5.389 V
2. φ = −8.233 °
3. φ = −85.23 °
4. φ = −83 °
5. V_C = 35.33 V
6. B = 1592 Hz

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