In this paper, the integral expression for calculating the induced electric field is given by analogy to the Biot-Savart Law. The expression is proved by Helmholtz theorem and Maxwell equations. Based on the method, the paper discussed the distribution of the induced electric field generated by magnetic field in square, triangle and arbitrary polygon area.
For more details about this method, see (in Chinese):
% define a L-shaped polygon
L_shapled_polygon = [2,2;8,2;8,5;4.9,4.9;5,8;2,8];
px = L_shapled_polygon(:,1);
py = L_shapled_polygon(:,2);
% compute the induced electric field
[x,y] = meshgrid(0:0.5:10);
[Ex,Ey] = CurlPoly([px,py],x,y);
E = sqrt(Ex.^2+Ey.^2);
Ligong Han (2021). Compute Induced Electric Field (https://www.mathworks.com/matlabcentral/fileexchange/42538-compute-induced-electric-field), MATLAB Central File Exchange. Retrieved .
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