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.