Exploring the Relationship Between Ellipse & Sphere's Radius in Cone of Light

In summary, the conversation discusses the relationship between the major/minor axes of an ellipse and the radius of a sphere in a cone of light. The example given includes a light source at 'h' height, a sphere at y vertical distance, and a horizontal deviation of x distance from the perpendicular axis. The question is about the relationship between the ellipse and the sphere's radius when the horizontal deviation is not zero. It is suggested that this question should be asked in the math section.
  • #1
Chandi
2
0
Hi everybody,

Guys I'm a total stranger to physics. I need some help to find the relationship between the major/minor axes of an ellipse and the radius of a sphere in a cone of light.

For example, imagine a light source is located at 'h' height from a plane and a sphere(with a radius of 'r') is located at y vertical distance from the source of light and horizontally deviated at x distance from the perpendicular axis of the plane and the source of light.
Obviously if the horizontal deviation is zero, then the projection is a circle. But I would like to know the relationship of the ellipse to the radius of the sphere when horizontal deviation is not zero.
 
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  • #2
This question belongs in the math section.
 

1. What is the relationship between the radius of an ellipse and the radius of a sphere in a cone of light?

The radius of the ellipse and the radius of the sphere in a cone of light are directly related. As the radius of the ellipse increases, the radius of the sphere also increases. This is due to the fact that the ellipse is the cross section of the cone of light, and the sphere is the base of the cone.

2. How does the angle of the cone of light affect the relationship between the ellipse and sphere's radius?

The angle of the cone of light has no direct effect on the relationship between the ellipse and sphere's radius. However, the angle of the cone of light does affect the shape of the ellipse and the size of the sphere, which in turn can indirectly affect the relationship between their radii.

3. Is the relationship between the ellipse and sphere's radius consistent throughout the cone of light?

Yes, the relationship between the ellipse and sphere's radius remains consistent throughout the cone of light. This is because the ellipse and sphere are both geometric shapes and their relationship is based on their respective measurements.

4. How does the distance between the light source and the cone of light affect the relationship between the ellipse and sphere's radius?

The distance between the light source and the cone of light does not directly affect the relationship between the ellipse and sphere's radius. However, it can indirectly affect the size of the ellipse and sphere, which can in turn affect their relationship.

5. Can the relationship between the ellipse and sphere's radius be used to predict the size of the sphere in a cone of light?

Yes, the relationship between the ellipse and sphere's radius can be used to predict the size of the sphere in a cone of light. This is because the two are directly related and can be calculated using mathematical formulas.

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