Matlab Problem, not understanding what they are asking for

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SUMMARY

The discussion centers on determining the frequency at which the function M, defined as M=(R*C*w)/sqrt((1-L*C*w^2)+(R*C*w)^2), reaches its maximum value in a circuit involving resistance (R), capacitance (C), and inductance (L). Participants clarify that the task is to find the maximum frequency as a function of R, C, and L, rather than evaluating M as separate functions of R, C, and L. The correct approach involves taking the derivative of M with respect to the radian frequency (w) and setting it to zero, assuming R, C, and L are constants.

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LakeMountD
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The following formula is a function of the radian frequency w of the input voltage. Formulas for M are derived in elementary electrical circuits courses. For this particular circuit, M is given by:

M=(R*C*w)/sqrt((1-L*C*w^2)+(R*C*w)^2)

The frequency at which M is a max. is the frequency of the desired carrier signal.

a) Determine this frequency as a function of R, C, and L



It isn't that the programming on this is tough but I just don't understand if they are asking for me to make it like M(R,C,L), meaning set R,C,L to x and then make it a function of x, or if they are saying to find the max of the functions M(R), M(L), and M(C). They aren't giving me any values so I am getting a little confused.

I was just going to take the derivative of the function (the max) and figure it out that way but do I need to take it of one function or of all three?
 
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You will have to take the derivative of M with respect to w and set that to zero. That being said, this assumes that R, C and L are constants which is usually the case.
 

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