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Snell's Law with Vectors

Snell's Law with Vectors
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2013-02-14 06:16
AngleVectorGeometric Construction
In collections Light
This example demonstrates Snell's Law using vector equations, showing how light changes its path when passing from one medium to another. Key mathematical concepts include vectors, angles, and refractive index. It uses Circle, Vector, Line, Segment, and Angle commands in GeoGebra for construction. Suitable for high school physics and math education to help students understand the principle of light refraction.

GeoGebra Commands & Parameters

  1. Circle(O, 1) → c
  2. Point(c) → n
  3. Vector(O, n) → N
  4. Vector(O, prp * N) → W
  5. Vector(-prp * N) → E
  6. Point(c) → l
  7. Vector(O, l) → L
  8. Line(l, L) → b
  9. Point(b) → S
  10. Segment(S, l) → d
  11. Angle(L, Vector[λ * N]) → θ_1
  12. Ray(O, T) → f
  13. Point(t, Vector[1.5 * T]) → C
  14. Segment(t, C) → g
  15. Angle(Vector[-λ * N], T) → θ_2
  16. Point(O, R) → r
  17. Ray(O, R) → h
  18. Point(r, Vector[1.5 * R]) → A
  19. Segment(r, A) → i

AI Drawing Prompt Reference

Draw a refraction diagram where light enters from one medium to another. Start by drawing a circle and selecting a point on it as the incidence point. Then, draw the incident and refracted rays, and label the angles of incidence and refraction. Use vectors to represent the direction of the rays and adjust their lengths and directions to simulate light propagation in different media.
The prompt above was compiled from the original drawing commands and is for reference only.