MATLAB Matlab Problem, not understanding what they are asking for

  • Thread starter Thread starter LakeMountD
  • Start date Start date
  • Tags Tags
    Matlab
AI Thread Summary
The discussion centers on determining the frequency at which the function M, derived from the formula M=(R*C*w)/sqrt((1-L*C*w^2)+(R*C*w)^2), reaches its maximum value. This frequency corresponds to the desired carrier signal. A participant expresses confusion about whether to treat R, C, and L as variables or constants while finding the maximum. The consensus is that the derivative of M should be taken with respect to the radian frequency w, assuming R, C, and L are constants. Setting the derivative to zero will yield the frequency at which M is maximized.
LakeMountD
Messages
59
Reaction score
0
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?
 
Physics news on Phys.org
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.
 

Similar threads

Replies
8
Views
3K
Replies
2
Views
3K
Replies
2
Views
2K
Replies
1
Views
3K
Replies
10
Views
3K
Back
Top