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Induced charge distribution of metallic sphere

Induced charge distribution of metallic sphere. Feng lei. What is a chromatic image supposed to be ?. M ×N. A colorized image is a matrix which has a dimension of 3 ×M ×N , and the index of which represents corresponding pixel.

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Induced charge distribution of metallic sphere

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  1. Induced charge distribution of metallic sphere Feng lei

  2. What is a chromatic image supposed to be ? M ×N A colorized image is a matrix which has a dimension of 3 ×M ×N , and the index of which represents corresponding pixel. Each M ×N matrix is supposed to be a color element matrix of the image in RGB color space.

  3. RGB color space A specified color has three elements: ZR (0,1) ZG (0,1) ZB (0,1) To illustrate the density of charge by color, we have to define a spectrum of these colors first.

  4. There are many ways to make a color band. I only choose one plane (ZR-ZB) of RGB color space to define my spectrum.

  5. How to convert induced charge density to color distribution ? The simplest way is to find a linearrelation between them. Then I get that k must be the maximum of σ.

  6. How will R/d change the relative density ? R/d varying in the scope of (0.1,0.9) and θ∈(-Pi , Pi).

  7. What dose it look like in the mapping plane? x-y y-z R/d=0.1 R/d=0.3 R/d=0.7

  8. What about the condition near the limit point ? R/d=0.9 R/d=0.99 Those induced charges just appears locating on one point.

  9. Let’s do something more interesting! How about adding another two point charges outside the metallic sphere? R/d=0.4

  10. How about adding two negative point charges outside the metallic sphere? R/d=0.4

  11. How about just changing the distance of the point charge outside the metallic sphere? R/d=0.3 R/d=0.7

  12. Y-Z Finally, here are two interesting graphs mapped in y-z plane. Can you guess how the point charges locate?

  13. Actually , it’s the situation below:

  14. Thanks for your attention! It is wrong but gorgeous anyway.

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