Answer:
Frequency, f = 7.57 Hz
Explanation:
It is given that,
Capacitance, [tex]C=3\ \mu F=3\times 10^{-6}\ F[/tex]
Capacitive reactance, [tex]X_C=7\ k\Omega=7\times 10^3\ \Omega[/tex]
We need to find the frequency. The capacitive reactance of the capacitor is given by :
[tex]X_C=\dfrac{1}{2\pi fC}[/tex]
f is the frequency
[tex]f=\dfrac{1}{2\pi CX_C}[/tex]
[tex]f=\dfrac{1}{2\pi \times 3\times 10^{-6}\ F\times 7\times 10^3\ \Omega}[/tex]
f = 7.57 Hz
Hence, this is the required solution.
