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
V50 HzC = 10 µF

Find the reactance XC of a 10 µF capacitor at 50 Hz.

C = 10 µFf = 50 Hz
XC = Ω
2.Easy
10 V60 HzR = 25 ΩL = 250 mH

A series RL circuit is connected to a 10 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 60 HzR = 25 ΩL = 250 mH
|Z| = Ω
3.Medium
100 V100 HzR = 60 ΩC = 22 µFI

A resistor and a capacitor are connected in parallel across a 100 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 100 HzR = 60 ΩC = 22 µF
φ = °
4.Medium
Vf0​ = 500 HzRL = 20 mHC = ?

A series RLC circuit with L = 20 mH must resonate at 500 Hz. Find the capacitance C needed.

f0 = 500 HzL = 20 mH
C = µF
5.Hard
24 V60 HzR1​ = 30 ΩR2​ = 40 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR1 = 30 ΩR2 = 40 ΩC = 100 µF
I = A
6.Hard
VfR = 10 ΩL = 50 mHC = 2.2 µF

A series RLC circuit has R = 10 Ω, L = 50 mH and C = 2.2 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 50 mHC = 2.2 µF
B = Hz

Answer key

  1. 1. XC = 318.3 Ω
  2. 2. |Z| = 97.51 Ω
  3. 3. φ = −39.67 °
  4. 4. C = 5.066 µF
  5. 5. I = 0.521 A
  6. 6. B = 31.83 Hz

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