How to solve two coil equation?

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Nico Lastin
Nico Lastin 2018-4-20
回答： Stephan 2018-4-20
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!

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Stephan
Stephan 2018-4-20
编辑：Stephan 2018-4-20

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 ;-)

更多回答（3 个）

Stephan
Stephan 2018-4-20
Hi,
isn't the angel Pi/4 (upper bound) and 0 (lower bound) for solving the integral?
Nico Lastin
Nico Lastin 2018-4-20
That makes sense! Thank you :) Can Matlab solve equations like that?
Stephan
Stephan 2018-4-20

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.

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