Question

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

Answer 1

Frequency, f = 7.57 Hz

Step-by-step explanation:

It is given that,

Capacitance,
`C=3\ \mu F=3* 10^(-6)\ F`

Capacitive reactance,
`X_C=7\ k\Omega=7* 10^3\ \Omega`

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

`X_C=(1)/(2\pi fC)`

f is the frequency

`f=(1)/(2\pi CX_C)`

`f=(1)/(2\pi * 3* 10^(-6)\ F* 7* 10^3\ \Omega)`

f = 7.57 Hz

Hence, this is the required solution.