Q. 29

Expert-verifiedFound in: Page 871

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 .

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.

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 :

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.

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