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Example:
Find and compare the capacitive reactance for
a 100μF and a 0.022μF capacitor at 60Hz.
For the 100μF capacitor:
XC =
1 / 2 π f C

 
 =
1 / 2 x 3.1416 x 60 x (100 x 10-6)

 
 =
26.52 Ω
For the 0.022μF capacitor:

 XC =
 1 / 2 π f C

 
 =
1 / 2 x 3.1416 x 60 x (0.022 x 10-6)

 
 =
0.121kΩ
Frequency(hertz)   Reactance(Ω)   Reactance(Ω)
                      100μF         0.022μF
      60             26.5258       0.120 x 106
      120            13.2629       0.060 x 106
     2500             0.6366       2.89 x 103
Frequency(hertz)   Reactance(Ω)   Reactance(Ω)
                      100μF         0.022μF
      60             26.5258       0.120 x 106
      120            13.2629       0.060 x 106
     2500             0.6366       2.89 x 103
Frequency(hertz)   Reactance(Ω)   Reactance(Ω)
                      100μF         0.022μF
      60             26.5258       0.120 x 106
      120            13.2629       0.060 x 106
     2500             0.6366       2.89 x 103

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3.3.3 Example

  • 1. Example: Find and compare the capacitive reactance for a 100μF and a 0.022μF capacitor at 60Hz. For the 100μF capacitor:
  • 2. XC = 1 / 2 π f C = 1 / 2 x 3.1416 x 60 x (100 x 10-6) = 26.52 Ω
  • 3. For the 0.022μF capacitor: XC = 1 / 2 π f C = 1 / 2 x 3.1416 x 60 x (0.022 x 10-6) = 0.121kΩ
  • 4. Frequency(hertz) Reactance(Ω) Reactance(Ω) 100μF 0.022μF 60 26.5258 0.120 x 106 120 13.2629 0.060 x 106 2500 0.6366 2.89 x 103
  • 5. Frequency(hertz) Reactance(Ω) Reactance(Ω) 100μF 0.022μF 60 26.5258 0.120 x 106 120 13.2629 0.060 x 106 2500 0.6366 2.89 x 103
  • 6. Frequency(hertz) Reactance(Ω) Reactance(Ω) 100μF 0.022μF 60 26.5258 0.120 x 106 120 13.2629 0.060 x 106 2500 0.6366 2.89 x 103