Create a surface plot, contour plot, and mesh plot of the function z = e^(a+jb) for...

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Question

Create a surface plot, contour plot, and mesh plot of the function z = e^(a+jb) for...

Create a surface plot, contour plot, and mesh plot of the function z = e^(a+jb) for the interval −1 ≤ a ≤ 1 and −2π ≤ b ≤ 2π. Plot the real part of z versus a and b for each of these plots.

engineering Computer-Science

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Answer 1

Answer #1

Matlab Code

clc
close all

% generating a and b
a = linspace(-1, 1, 50);
b = linspace(-2*pi, 2*pi, 50);
% creating the A and B meshgrid points
[A, B] = meshgrid(a, b);

% calculating Z
Z = exp(A + j*B);
% extracting the real part of Z
real_Z = real(Z);

% surface plot
figure
surf(A, B, real_Z)
title('Surface Plot of Z = Real(exp(a+jb))')
xlabel('X')
ylabel('Y')
zlabel('Z')

% contour plot
figure
contour(A, B, real_Z)
title('Contour Plot of Z = Real(exp(a+jb))')
xlabel('X')
ylabel('Y')
zlabel('Z')

% mesh plot
figure
mesh(A, B, real_Z)
title('Mesh Plot of Z = Real(exp(a+jb))')
xlabel('X')
ylabel('Y')
zlabel('Z')

OUTPUT

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Answer 2

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