Seudónimo Seudónimo
  • 11-11-2018
  • Mathematics
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What is the reactance of a 25 mF capacitor when the applied frequency is 400 Hz?

Respuesta :

InesWalston
InesWalston InesWalston
  • 12-11-2018

Answer-

The capacitive reactance is 15.92Ω.

Solution-

We know that,

[tex]X_c=\dfrac{1}{2\pi fC}[/tex]

Where,

[tex]X_c[/tex] = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

[tex]X_c[/tex] = ??

f = 400 Hz

C = 25 mF = [tex]25\times 10^{-6}[/tex] F

Putting the values in the formula,

[tex]X_c=\dfrac{1}{2\pi \times 400\times 25\times 10^{-6}}[/tex]

[tex]X_c=\dfrac{10^{6}}{20000\pi}[/tex]

[tex]X_c=15.92\ \Omega[/tex]

Therefore, the capacitive reactance is 15.92Ω.

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