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Electrostatic force due to spherical shell of charge

Electrostatic force due to spherical shell of charge. r. R. z. . y. . x. Spherical coordinates. z.   0 to . . y. . x. z.  0 to    0 to 2. r  0 to R. y. . x. . y. . x. z. Electrostatic force due to spherical shell of charge. r. R. q 0. z.

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Electrostatic force due to spherical shell of charge

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  1. Electrostatic force due to spherical shell of charge r R z

  2. y  x

  3. Spherical coordinates

  4. z   0 to   y  x

  5. z •  0 to    0 to 2 r  0 to R y  x

  6. y  x z

  7. Electrostatic force due to spherical shell of charge r R q0 z

  8. Electrostatic force due to spherical shell of charge r R z

  9. Electrostatic force due to spherical shell of charge r R z

  10. Electrostatic force due to spherical shell of charge r R z

  11. Electrostatic force due to spherical shell of charge r R z

  12. Electrostatic force due to spherical shell of charge r R z

  13. Electrostatic force due to spherical shell of charge r R z

  14. Electrostatic force due to spherical shell of charge r R z

  15. Electrostatic force due to spherical shell of charge r R z

  16. Electrostatic force due to spherical shell of charge r R z

  17. Electrostatic force due to spherical shell of charge r R z

  18. Electrostatic force due to spherical shell of charge r R z

  19. Electrostatic force due to spherical shell of charge r R   z

  20. Electrostatic force due to spherical shell of charge r R   z

  21. Electrostatic force due to spherical shell of charge r R   z Only z-component survives

  22. Electrostatic force due to spherical shell of charge r R   z Rcos Why are we doing this? To change variable to  which is the polar angle

  23. Electrostatic force due to spherical shell of charge r R   z Rcos

  24. r and  are NOT independent

  25. Electrostatic force due to spherical shell of charge r R   z

  26. Electrostatic force due to spherical shell of charge r r  R  z

  27. Electrostatic force due to spherical shell of charge r R   z

  28. Electrostatic force due to spherical shell of charge r R   z

  29. Law of cosines

  30. Electrostatic force due to spherical shell of charge r R   z

  31. Electrostatic force due to spherical shell of charge r R z

  32. Electrostatic force due to spherical shell of charge r R z

  33. Electrostatic force due to spherical shell of charge r R z

  34. Electrostatic force due to spherical shell of charge r R z

  35. Electrostatic force due to spherical shell of charge r R z

  36. Electrostatic force due to spherical shell of charge r R z

  37. Electrostatic force due to spherical shell of charge r R z

  38. Electrostatic force due to spherical shell of charge r R z

  39. Electrostatic force due to spherical shell of charge r R z

  40. Electrostatic force due to spherical shell of charge r R z

  41. Electrostatic force due to spherical shell of charge r R z

  42. Electrostatic force due to spherical shell of charge r R z

  43. Electrostatic force due to spherical shell of charge r R z

  44. Electrostatic force due to spherical shell of charge r R z

  45. Electrostatic force due to spherical shell of charge r R z

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