I wanted to create two spheres that overlap each other in MATLAB. The image has my code and results. I only see one sphere in the results. Why is that? Can you give me the code that will create two overlaying spheres in one plot?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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I wanted to create two spheres that overlap each other in MATLAB. The image has my code and results. I only see one sphere in the results. Why is that? Can you give me the code that will create two overlaying spheres in one plot?

```matlab
clc;
clear all;

I = [0.3; 0.2; 0.4];
H = [0.03; 0.002; 0.004];
Trot = 0.0015;
a = sqrt(2*I(1)*Trot);
b = sqrt(2*I(2)*Trot);
c = sqrt(2*I(3)*Trot);

% Create the first sphere
[x1, y1, z1] = sphere;
x1 = a * x1 + H(1);
y1 = b * y1 + H(2);
z1 = c * z1 + H(3);

% Create the second sphere
[x2, y2, z2] = sphere;
x2 = a * x2 + H(1);
y2 = b * y2 + H(2);
z2 = c * z2 + H(3);

% Plot both spheres
surf(x1, y1, z1, 'FaceAlpha', 0.5);
hold on
surf(x2, y2, z2, 'FaceAlpha', 0.5);
axis equal
```

**Description and Explanation:**

This MATLAB script is used to generate and display two translucent spheres positioned in 3D space. The main components of the script and its corresponding 3D plot are explained below:

1. **Variables Initialization:**
   - **I** and **H** are vectors that represent certain properties or parameters, possibly related to inertia and displacement, respectively.
   - **Trot** is a scalar value potentially related to rotation.
   - **a, b, c** are calculated using elements of **I** and **Trot**, providing scaling factors for the spheres.

2. **Sphere Creation:**
   - Two spheres are generated using the MATLAB `sphere` function, which creates a 3D grid of points.
   - These points are scaled by the factors **a, b, c** and translated by **H**, effectively modifying the size and position of the spheres in 3D space.

3. **Visualization:**
   - The spheres are plotted using the `surf` function with a transparency setting (`'FaceAlpha', 0.5`) to allow partial visibility through the surfaces.

**Graphical Representation:**

In the plot displayed to the right:
- The spheres are shown with smooth
Transcribed Image Text:```matlab clc; clear all; I = [0.3; 0.2; 0.4]; H = [0.03; 0.002; 0.004]; Trot = 0.0015; a = sqrt(2*I(1)*Trot); b = sqrt(2*I(2)*Trot); c = sqrt(2*I(3)*Trot); % Create the first sphere [x1, y1, z1] = sphere; x1 = a * x1 + H(1); y1 = b * y1 + H(2); z1 = c * z1 + H(3); % Create the second sphere [x2, y2, z2] = sphere; x2 = a * x2 + H(1); y2 = b * y2 + H(2); z2 = c * z2 + H(3); % Plot both spheres surf(x1, y1, z1, 'FaceAlpha', 0.5); hold on surf(x2, y2, z2, 'FaceAlpha', 0.5); axis equal ``` **Description and Explanation:** This MATLAB script is used to generate and display two translucent spheres positioned in 3D space. The main components of the script and its corresponding 3D plot are explained below: 1. **Variables Initialization:** - **I** and **H** are vectors that represent certain properties or parameters, possibly related to inertia and displacement, respectively. - **Trot** is a scalar value potentially related to rotation. - **a, b, c** are calculated using elements of **I** and **Trot**, providing scaling factors for the spheres. 2. **Sphere Creation:** - Two spheres are generated using the MATLAB `sphere` function, which creates a 3D grid of points. - These points are scaled by the factors **a, b, c** and translated by **H**, effectively modifying the size and position of the spheres in 3D space. 3. **Visualization:** - The spheres are plotted using the `surf` function with a transparency setting (`'FaceAlpha', 0.5`) to allow partial visibility through the surfaces. **Graphical Representation:** In the plot displayed to the right: - The spheres are shown with smooth
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