Q. 29

Expert-verified
Found in: Page 871

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# An FM radio station broadcasts at a frequency of 100 MHz. What inductance should be paired with a 10 pF capacitor to build a receiver circuit for this station?

The value of inductance is .

See the step by step solution

## Given information

We have given that, an FM radio station broadcasts at a frequency of 100 MHz, and receiver circuit for this station has 10 pF capacitor.

## Step 1.

The formula to calculate the inductance is :

Here, = Inductance

= Resonant frequency

= Capacitance

We have to get value of resonant frequency first.

Formula of resonant frequency is :

Here, Resonant frequency

f = Frequency at which station broadcast

Substituting the values in the formula of resonant frequency :

## Step 2.

Now we will substitute all the values in the formula of inductance.

Substituting the values in the inductance formula :

inductance should be paired with a 10 pF capacitor to build a receiver circuit for this station.