1. Electrostatic force due to spherical shell of chargeq0 z

2. Electrostatic force due to spherical shell of chargez

3. Electrostatic force due to spherical shell of chargez

4. Electrostatic force due to spherical shell of chargez

5. Electrostatic force due to spherical shell of chargez

6. Electrostatic force due to spherical shell of chargez

7. Electrostatic force due to spherical shell of chargez

8. Electrostatic force due to spherical shell of chargez

9. Electrostatic force due to spherical shell of chargez

10. Electrostatic force due to spherical shell of chargez

11. Electrostatic force due to spherical shell of chargez

12. Electrostatic force due to spherical shell of chargez

13. Electrostatic force due to spherical shell of charge  z

14. Electrostatic force due to spherical shell of charge  z

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

16.  r R z  Rcos Why are we doing this?
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

17. Electrostatic force due to spherical shell of charge  z
Rcos

18. r and  are NOT independent

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

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

21. Electrostatic force due to spherical shell of charge  z

22. Electrostatic force due to spherical shell of charge  z

23. Law of cosines

24. Electrostatic force due to spherical shell of charge  z

27. Electrostatic force due to spherical shell of chargez

28. Electrostatic force due to spherical shell of chargez

29. Electrostatic force due to spherical shell of chargez

30. Electrostatic force due to spherical shell of chargez

31. Electrostatic force due to spherical shell of chargez

32. Electrostatic force due to spherical shell of chargez

33. Electrostatic force due to spherical shell of chargez

34. Electrostatic force due to spherical shell of chargez

35. Electrostatic force due to spherical shell of chargez

36. Electrostatic force due to spherical shell of chargez

37. Electrostatic force due to spherical shell of chargez

38. Electrostatic force due to spherical shell of chargez

39. Electrostatic force due to spherical shell of chargez

40. Electrostatic force due to spherical shell of chargez

41. Electrostatic force due to spherical shell of chargez

42. Electrostatic force due to spherical shell of chargez

43. Electrostatic force due to spherical shell of chargez

44. Electrostatic force due to spherical shell of chargez

45. Electrostatic force due to spherical shell of chargez
r = z - R

46. Electrostatic force due to spherical shell of chargez
r = z + R

47. Electrostatic force due to spherical shell of charge

49. Electrostatic force due to spherical shell of charge (inside the shell)z
r = R - z

50. Electrostatic force due to spherical shell of charge (inside the shell)z
r = R + z

51. Electrostatic force due to spherical shell of charge (inside the shell)

52. Electrostatic force due to spherical shell of charge (inside the shell)