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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Ronnie Schechter · Accepted Answer

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.&amp;nbsp;f=12⋅πL⋅C&amp;nbsp;Let&#039;s

reinosodairyshm · Accepted Answer

Resonant frequency,&amp;nbsp;f=100MHz&amp;nbsp;capacitance,&amp;nbsp;C=10pF&amp;nbsp;The formula of the resonant frequency is&amp;nbsp;f=12πLC&amp;nbsp;Resonant frequency,&amp;nbsp;f=100MHz&amp;nbsp;capacitance,&amp;nbsp;C=10pF&amp;nbsp;Let the inductance be L.Replace the values in the formula100×106=12πL×10×10−12&amp;nbsp;4π2×1016=1L×10−11&amp;nbsp;Result:L=2.54×10−7H

An FM radio station broadcasts at a frequency of 100

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