An FM radio station broadcasts at a frequency of 100

Joan Thompson 2021-12-15 Answered
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?
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Expert Answer

Ronnie Schechter
Answered 2021-12-16 Author has 27 answers
Step 1
To pair emitter and receiver of FM signal, the frequency of both devices must be the same. So we have to compute the value the value of inductance L in order to have the circuit frequency oscillating at 100 MHz.
f=12πLC
Lets

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reinosodairyshm
Answered 2021-12-17 Author has 36 answers
Step 1
Resonant frequency, f=100MHz
capacitance, C=10pF
The formula of the resonant frequency is
f=12πLC
Step 2
Resonant frequency, f=100MHz
capacitance, C=10pF
Let the inductance is L.
Substitute the values in the formula
100×106=12πL×10×1012
4π2×1016=1L×1011
L=2.54×107H

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