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
230 V50 HzR = 40 ΩL = 20 mHI

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 = 40 ΩL = 20 mH
I = A
2.Easy
120 V1000 HzR = 15 ΩC = 47 µFI

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

V = 120 V (rms)f = 1000 HzR = 15 ΩC = 47 µF
I = A
3.Medium
12 V200 HzR = 30 ΩL = 100 mHC = 4.7 µF

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 200 HzR = 30 ΩL = 100 mHC = 4.7 µF
φ = °
4.Medium
50 V500 HzR = 40 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms current I.

V = 50 V (rms)f = 500 HzR = 40 ΩL = 50 mHC = 1 µF
I = A
5.Hard
230 V100 HzR1​ = 10 ΩR2​ = 50 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 230 V (rms), 100 Hz supply. Find the rms current I.

V = 230 V (rms)f = 100 HzR1 = 10 ΩR2 = 50 ΩC = 100 µF
I = A
6.Hard
VfR = 15 ΩL = 10 mHC = 0.022 µF

A series RLC circuit has R = 15 Ω, L = 10 mH and C = 0.022 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 15 ΩL = 10 mHC = 0.022 µF
B = Hz

Answer key

  1. 1. I = 5.68 A
  2. 2. I = 7.804 A
  3. 3. φ = −55.5 °
  4. 4. I = 0.301 A
  5. 5. I = 11.2 A
  6. 6. B = 238.7 Hz

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