Question

At what frequency will a 3.0 μF capacitor have a reactance of 7.0 kΩ?

Answer 1

Answer:

Frequency, f = 7.57 Hz

Explanation:

It is given that,

Capacitance, $C=3\ \mu F=3\times 10^{-6}\ F$

Capacitive reactance, $X_C=7\ k\Omega=7\times 10^3\ \Omega$

We need to find the frequency. The capacitive reactance of the capacitor is given by :

$X_C=\dfrac{1}{2\pi fC}$

f is the frequency

$f=\dfrac{1}{2\pi CX_C}$

$f=\dfrac{1}{2\pi \times 3\times 10^{-6}\ F\times 7\times 10^3\ \Omega}$

f = 7.57 Hz

Hence, this is the required solution.