How to solve two coil equation?

Dear all,

unfortunately, I don´t know how to solve the following equations with Matlab.

The first one is the self-capacitance of a resonator; I have all parameters given except the angel, and, thus I don´t know how to solve the integral. (Image 1 and 2)

The next equation would be how to solve the self-inductance. Do I need five for loops? (Image 3)

Thank you very much!

Answer 1

[Stephan]

Hi,

this should work numerically in Matlab - just define your function and use this:

https://de.mathworks.com/help/matlab/ref/integral.html

If you want a analytical solution you will need to use symbolic Toolbox.

PS: if that helped, please accept answer ;-)

Answer 2

[Stephan]

Hi,

isn't the angel Pi/4 (upper bound) and 0 (lower bound) for solving the integral?

Answer 3

[Nico Lastin]

That makes sense! Thank you :) Can Matlab solve equations like that?

Answer 4

[Stephan]

Hi again, to solve the last equation numerically you will Need this:

https://de.mathworks.com/help/matlab/ref/cross.html

I also would use 5 for Loops to solve this equation. Maybe there is a more elegant way to solve, but this one will work.