I want to know how to solve Green's Theoreom
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명우 2023 年 1 月 13 日
回答済み: William Rose 2023 年 1 月 31 日
i have Bn and Bt data sheet and u0=4*pi*10^(-7)
this is inclosed curve integral how can i solve this integral in matlab?
Roshan Swain 2023 年 1 月 17 日
Try using "integral" : Numerical integration - MATLAB integral (mathworks.com)
You can also take a look at : Complex Line Integrals - MATLAB & Simulink (mathworks.com)
回答 (1 件)
William Rose 2023 年 1 月 31 日
The advice from @Roshan Swain is very good.
Share your table of Bn, Bt, and share the path you plan to take. (The path is represented by lower case L in your equation, and should be counter-clockwise.)
The formula in the image you shared does not look like a standard presentation of Green's theorem.
A standard representation of Green's theorem is
where dl is a small element along the path C, and F is a vector field.
F can be written as
In this case, the left hand side of the equation 1 above can be rewritten as follows:
In the equation you provided, the dot, representing dot product, is missing, and the quantity corresponding the the vector field F of equation 1 above is
but this looks like a scalar, not a vector. What are the x- and y- components of F, or the n- and t- components? You will need these components in order to compute the numerical version of the dot product of F with the path element, dl.
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