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Blackbody Radiation & Planck's Law Demo

Blackbody Radiation & Planck's Law Demo
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2019-10-13 00:39
FunctionCalculusOptimizationGraphing
This example demonstrates the graph of blackbody radiation curves as a function of temperature, involving core math concepts like Planck's law, Wien's displacement law, exponential functions, derivatives, and integrals. It utilizes Geogebra commands like OrthogonalLine, Point, Intersect, and Polygon as per the construction summary. Ideal for high school students and educators exploring thermal radiation and function graphs.

GeoGebra Commands & Parameters

  1. OrthogonalLine(c45, xAxis) → j_2
  2. Point(xAxis) → c5
  3. OrthogonalLine(c5, xAxis) → h_1
  4. OrthogonalLine(c4, xAxis) → q
  5. Intersect(p, q, (565, 25407018645111.46)) → c41
  6. Intersect(Blackbody, j_2, (534.38634, 25999490224972.543)) → c451
  7. Intersect(Blackbody, h_1, (500, 26238542956227.062)) → c51
  8. Point(xAxis) → c12
  9. OrthogonalLine(c12, xAxis) → q_1
  10. OrthogonalLine(c1, xAxis) → i
  11. OrthogonalLine(c2, xAxis) → b
  12. Intersect(p, b, (625, 23580720410684.496)) → c21
  13. Intersect(Blackbody, q_1, (677.2236876494022, 21618654915219.52)) → c121
  14. Intersect(Blackbody, i, (740, 19145785410070.09)) → c11
  15. Point(xAxis) → c78
  16. OrthogonalLine(c78, xAxis) → g
  17. OrthogonalLine(c7, xAxis) → i_1
  18. OrthogonalLine(c8, xAxis) → f
  19. Intersect(Blackbody, g, (414.15466633466133, 23838177367702.99)) → c781
  20. Intersect(Blackbody, i_1, (450, 25461783794414.273)) → c71
  21. Intersect(p, f, (380, 21319963631038.91)) → c81
  22. OrthogonalLine(c3, xAxis) → m
  23. Intersect(p, m, (590, 24729854079135.98)) → c31
  24. OrthogonalLine(c6, xAxis) → s
  25. Intersect(p, s, (485, 26163247692685.766)) → c61
  26. Corner(1) → conerLD
  27. Corner(3) → conerRU
  28. Polygon(c21, c2, c1, c11, c121) → cc1, r_1, s_1, t_1, a_1, b_1
  29. Polygon(c31, c21, c2, c3) → cc2, d, j, n, e_1
  30. Polygon(c51, c5, c4, c41, c451) → cc4, r, c_1, f_2, k_2, l_2
  31. Polygon(c41, c31, c3, c4) → cc3, f_1, d_1, g_1, e_2
  32. Polygon(c61, c51, c5, c6) → cc5, g_2, e_4, c_2, a
  33. Polygon(c81, c781, c71, c7, c8) → cc7, k_1, l_1, m_1, n_1, p_1
  34. Polygon(c61, c71, c7, c6) → cc6, g_3, i_2, h_2, j_1
  35. OrthogonalLine(B, xAxis) → c
  36. Intersect(Blackbody, c, (502.03049203049204, 26239593572189.543)) → A