Finding the inductor value with a frequency range

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Homework Help Overview

The discussion revolves around determining the value of an inductor in a series RLC tuning circuit for a television receiver, specifically within a frequency range of 53.2 to 57.2 MHz. The circuit is noted to use a 15.8 pF capacitor, and the resonance is to be calculated at the middle frequency of this range.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the resonance formula involving frequency and inductance, with one participant attempting to calculate the inductance using the middle frequency value.

Discussion Status

The conversation includes clarifications on the correct frequency to use for calculations, with one participant confirming the middle frequency as 55.2 MHz. There is an indication of a misunderstanding regarding units, which has been acknowledged by the original poster.

Contextual Notes

There is a mention of potential confusion regarding unit conversions, which may affect the calculations being discussed.

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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