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Electric Field Vectors

Electric Field Vectors
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2020-02-20 00:45
VectorFunctionCoordinate Geometry
This example visualizes electric field vectors. Key mathematical concepts include vectors and vector fields. Using GeoGebra commands such as Intersect, Point, and Polygon, the construction of electric field vectors is demonstrated. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. PointIn(poly1) → P1
  6. PointIn(poly1) → P3
  7. PointIn(poly1) → P2
  8. PointIn(poly1) → P4
  9. Sequence(Sequence[Vector[(a, b) + ((Efx(a, b), Efy(a, b)) * 0.125), (a, b) - ((Efx(a, b), Efy(a, b)) * 0.125)], a, 0, 8, 0.25], b, 0, 5, 0.25) → list1
  10. Sequence(Sequence[Vector[(a, b) + ((Egx(a, b), Egy(a, b)) * 0.125), (a, b) - ((Egx(a, b), Egy(a, b)) * 0.125)], a, 0, 8, 0.25], b, 0, 5, 0.25) → list2

AI Drawing Prompt Reference

Draw a coordinate system and electric field vectors starting from the origin, passing through four points P1, P2, P3, and P4 within a rectangular area. The length and direction of the vectors are determined by the functions Efx(a, b) and Efy(a, b), with each point surrounded by a series of vectors, each 0.125 units long.
The prompt above was compiled from the original drawing commands and is for reference only.