Plot vector field in Cylindrical

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Truong Tong Quang
Truong Tong Quang am 23 Nov. 2019
Beantwortet: Gautam am 23 Okt. 2024
i have a problem with my homeworks,
"Express the vector field A= 3Ux + 4Uy + 5Uz in Cylindrical"
and some similar questions like Cylindrical to Cart, or Spherical.

Antworten (1)

Gautam
Gautam am 23 Okt. 2024
The conversion from Cartesian to cylindrical coordinates is given by:
The unit vectors in cylindrical coordinates are related to Cartesian unit vectors by:
Here is a MATLAB script to plot the vector field in cylindrical coordinates:
[phi, z, rho] = meshgrid(linspace(0, 2*pi, 20), linspace(-5, 5, 20), linspace(0, 5, 20))
x = rho .* cos(phi);
y = rho .* sin(phi);
% Define the vector field A in Cartesian coordinates
Ax = 3 * ones(size(x));
Ay = 4 * ones(size(y));
Az = 5 * ones(size(z));
% Convert the vector field to cylindrical coordinates
A_rho = Ax .* cos(phi) + Ay .* sin(phi);
A_phi = -Ax .* sin(phi) + Ay .* cos(phi);
A_z = Az;
% Plot the vector field
figure;
quiver3(x, y, z, A_rho .* cos(phi) - A_phi .* sin(phi), ...
A_rho .* sin(phi) + A_phi .* cos(phi), A_z, 'AutoScale', 'on');
xlabel('x');
ylabel('y');
zlabel('z');
axis equal;
grid on;

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