Gravitational Potential Energy

1. Gravitational Potential Energy Gravitational Potential B Fg = mg Gravitational Potential A The particle with a given mass will have more G.P.E at pt B than at pt A. ground ground

2. Gravitational Potential Energy ground ground

3. Gravitational Potential Energy The particle will have _____potential energy at point B than at A B A ground

4. Gravitational Potential Energy The particle will have more potential energy at point B than at A B A ground

5. Gravitational Potential Energy Work must be done ___the particle to move it from point A to B. B A ground

6. Gravitational Potential Energy Work must be done on the particle to move it from point A to B. B A ground

7. Gravitational Potential Energy That work =___ ____ = ____ ____ ___ B A ground

8. Gravitational Potential Energy That work =F d = m g d B A ground

9. Electical Potential Energy Electrical Potential B FE = qE Electrical Potential A • The charged particle has ______electrical potential energy at point B than at point A.

10. Electical Potential Energy Electrical Potential B Electrical Potential A • The charged particle has more electrical potential energy at point B than at point A.

11. Electical Potential Energy Electrical Potential B Electrical Potential A • Work must be done ___ the charged particle to move it from A to B.

12. Electical Potential Energy Electrical Potential B Electrical Potential A • Work must be done ON the charged particle to move it from A to B.

13. Electical Potential Energy Electrical Potential B Electrical Potential A • Work = ___ ___

14. Electical Potential Energy Electrical Potential B Electrical Potential A • Work = F d =

15. Electical Potential Energy Electrical Potential B Electrical Potential A • Work = F d = ___ ___ ___ because F =

16. Electical Potential Energy Electrical Potential B Electrical Potential A • Work = F d = q E d because E = F / q

17. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

18. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

19. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

20. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

21. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

22. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

23. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

24. Electrical Potential • The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. • The definition is based on a positive test charge particle whose charge approaches zero. • Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. • Electrical Potential = ElectricalPotential Energy • Charge • Units: Joules which is called a Volt • C • Electrical Potential is commonly known as Potential

25. Potential Difference • Uniform Electrical Field + - + - +q + - + -

26. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

27. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

28. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

29. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

30. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

31. Potential Difference • The change in potential is defined as the Difference in potential between points B and A. • V = VA – VB • The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. • V = W ( A -> B) • q

32. Potential Difference • Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. • Work done against an electrical field increases the amount of potential energy of that particle. • The work done on a charge in moving it from point A to B is independent of the path taken.

33. Potential Difference • Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. • Work done against an electrical field increases the amount of potential energy of that particle. • The work done on a charge in moving it from point A to B is independent of the path taken.

34. Potential Difference • Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. • Work done against an electrical field increases the amount of potential energy of that particle. • The work done on a charge in moving it from point A to B is independent of the path taken.

35. Potential Difference • Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. • Work done against an electrical field increases the amount of potential energy of that particle. • The work done on a charge in moving it from point A to B is independent of the path taken.

36. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

37. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

38. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

39. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

40. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

41. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

42. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

43. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

44. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

45. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

46. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

47. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

48. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter

49. Potential Difference • V = W • q • Work = Force x Distance • Electrical Force = ____ x ____ • Work = q E d • V = q E d • q • V = E d • V = E therefore Electrical field units can be Volt • d meter