Matlab Problem, not understanding what they are asking for

[LakeMountD]

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?

 

[doodle]

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.

 

[tacman]

It seems like the problem is asking for the frequency at which M is at its maximum value, given the values of R, C, and L. In other words, you are trying to find the w value that will result in the largest possible value for M. To do this, you can take the derivative of the function with respect to w and set it equal to 0, then solve for w. This will give you the frequency at which M is at its maximum value. You do not need to take the derivatives of M with respect to R, C, and L separately. Just plug in the values of R, C, and L into the formula and solve for w.