Chapter 21, Problem 53P

To determine

To find the frequency of an inductor.

Answer to Problem 53P

Solution:

The frequency is 32.83 kHz.

Explanation of Solution

Given:

Inductance, $L=3.2\text{mH }$

Reactance, $X_L=660\Omega$

Formula:

The relation between the inductive reactance and the inductanceis given by

$X_L=2\pi fL$

Where, f is the frequency in Hz and L is the inductance in H.

Calculation:

Substituting the values of f and C in the above relation, we get

$f=\frac{660}{2\pi \times 3.2\times {10}^{-3}}=32.83\text{ kHz}$

The frequency is 32.83 kHz.