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Twoism

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## Homework Statement

A television channel is assigned the frequency range from 54 MHz to 60 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 16 pF capacitor. Inductor is .487 micro Henries.

In order to function properly, the current throughout the frequency range must be at least 50% of the current at the resonance frequency. What is the minimum possible value of the circuit's resistance?

## Homework Equations

I=V/Z

Z=sqrt(R^2+(omegaL-(omegaC)^-1)^2)

omega=2pi(frequency)

## The Attempt at a Solution

I'm kinda lost on this one.

I tried setting .5(V/Z1)=(V/Z2) and solving for R.

Z1 is using the 57MHz and Z2 is using 54 or 60 MHz, neither gave me a correct answer.

I meant to put "finding a value" instead of "changing values of," sorry.