Finding the inductor value with a frequency range

AI Thread Summary
To find the inductor value for a series RLC tuning circuit resonating at the middle frequency of 55.2 MHz, the formula 1/(2*pi*sqrt(LC)) is applied. The circuit utilizes a 15.8 pF capacitor. Initial attempts involved calculating inductance using the lowest, highest, and middle frequencies. A clarification was made regarding the use of the correct units in calculations. The discussion highlights the importance of unit accuracy in solving for inductance.
cummi3em
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Homework Statement


A television channel is assigned the frequency range 53.2 to 57.2 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 15.8 pF capacitor. What is the value of the inductor (in mH)?


Homework Equations



1/(2*pi*sqrt(LC))

The Attempt at a Solution


I tried using the above equation to solve for L using the lowest, highest, and middle frequency
 
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What have you got for the middle frequency?

ehild
 
55.2 MHz
 
Sorry, :) I meant the inductance at the middle frequency.

ehild
 
thank you but i got it i was using the wrong units
 
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