1. Wednesday (Day 4)

2. Warm-Up Wed, Mar 4 Place your homework on my desk:
Calculate the electric potential at points A and B due to the charges shown. Assume V=0 at r=∞.
Place your homework on my desk:
Lab #4 Gaussian Grid Report
For future assignments - check online at

3. Corrections to be made
Essential Questions were copied but must be changed and add to top of slides
Agenda was copied but needs to be changed to summation of point charges and equipotential lines with WS practice
First solution slide is a guideline
|<-x->| and |<-(0.52-x)->| must be added for V = 0 solution
Additional slides must be modified (verify answers!!!)
Correct the summary - it was copied & pasted

4. Essential Question(s)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
How do we calculate the electrical work done on a positive and negative charge that moves through a potential difference?
How do we apply the Law of Conservation of Energy to determine the speed of a charged particle that has been accelerated through a potential difference?
How do we describe and apply the concept of electric fields?

5. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Vocabulary
Electric Potential
Potential
Difference in Potential
Potential Difference
Volt
Voltage
Equipotential Lines
Equipotential Surfaces
Electric Dipole
Dipole Moment
Electron Volt
Cathode Ray Tube
Thermionic Emission
Cathode
Anode
Cathode Rays
Oscilloscope

6. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Agenda
Determine potential due to multiple point charges.
Discuss equipotential lines
Electric Fields WS #1 - 4
Equipotential WS #1 - 4
Work on Web Assign and WS

7. Application: Potential due to two opposite charges
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Application: Potential due to two opposite charges
Calculate the electric potential at points A and B due to the charges shown. Assume V=0 at r=∞.
Find the point(s) along the x-axis where V=0.
Calculate the Electric Field at the point(s) along the x-axis where V=0
V=0 at (0,0)

8. Determination of E: Positive Point Charge
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of E: Positive Point Charge
dAsphere A1 + r E

9. Determination of V from E: Point Charge
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Point Charge + E dr

10. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Important Note #1
We will now have the ability to sum up all of the point charges to determine the total potential for any charge distribution.
Today is that day . . .

11. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Conceptual Questions
If E = 0, is V = 0? Explain.
In what situation can E = 0 and V ≠ 0?
If V = 0, is E = 0? Explain.
In what situation can V = 0 and E ≠ 0?

12. Application: Potential due to two charges
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Application: Potential due to two charges
Calculate the electric potential at points A and B due to the charges shown. Assume V=0 at r=∞.
Find the point(s) along the x-axis where V=0.
Calculate the Electric Field at the point(s) along the x-axis where V=0

13. Application: Potential due to two charges
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Application: Potential due to two charges
Calculate the electric potential at points A and B due to the charges shown. Assume V=0 at r=∞.
Find the point(s) along the x-axis where V=0.
Calculate the Electric Field at the point(s) along the x-axis where V=0

14. Application: Potential above two charges
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Application: Potential above two charges
Calculate the electric potential at points A and B due to the charges shown. Assume V=0 at r=∞.

15. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF EQUIPOTENTIAL LINES?
An equipotential is a line or surface over which the potential is constant.
Electric field lines are perpendicular to equipotentials.
The surface of a conductor is an equipotential.
Review:
Where does Vba= 0 V from rb = ∞?
What is the potential difference in both cases?
10V 5V 0V -5V -10V

16. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF EQUIPOTENTIAL LINES?
Equipotentials
An equipotential surface connects points that are all at the same potential.
The electric field is everywhere perpendicular to the equipotential surface.

17. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF EQUIPOTENTIAL LINES?
Equipotentials
Electric equipotential surfaces are analogous to contour lines on a topographic map (lines of constant elevation)

18. Equipotentials and Fields Near Conductors
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF EQUIPOTENTIAL LINES?
Equipotentials and Fields Near Conductors
Surface of a conductor is an equipotential
Electric field is perpendicular to surface

19. EM Field Examples

20. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Summary
How is the electric field lines and equipotential lines related?
HW (Place in your agenda):
Web Assign 23.? - 23.?
Future assignments:

21. Thursday (Day 5)

22. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Warm-Up
Thurs, Mar 5
How can a charge being placed in between two opposite charges have a zero potential and still have the ability to move (I.e. have a force acting on it)?
Place your homework on my desk:
Equipotential WS #2-4
Electric Field WS #2-4
For future assignments - check online at

23. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Equipotential Lines

24. Essential Question(s)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
How do we calculate the electrical work done on a positive and negative charge that moves through a potential difference?
How do we apply the Law of Conservation of Energy to determine the speed of a charged particle that has been accelerated through a potential difference?
How do we describe and apply the concept of electric fields?

25. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Vocabulary
Electric Potential
Potential
Difference in Potential
Potential Difference
Volt
Voltage
Equipotential Lines
Equipotential Surfaces
Electric Dipole
Dipole Moment
Electron Volt
Cathode Ray Tube
Thermionic Emission
Cathode
Anode
Cathode Rays
Oscilloscope

26. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Agenda
Prep Lab #5: Potential
Add the conclusion question: How can a charge being placed in between two opposite charges have a zero potential and still have the ability to move (I.e. have a force acting on it)?
Complete the following
Lab #5: Potential
Chapter 23 Web Assign Problems up to 23.6

27. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Summary
How is the electric field lines and equipotential lines related?
HW (Place in your agenda):
Web Assign 23.? - 23.?
Future assignments:

28. Friday (Day 6)
In Phoenix, Arizona

29. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Warm-Up
Fri, Mar 6
TBA
Place your homework on my desk:
For future assignments - check online at

30. Essential Question(s)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
How do we calculate the electrical work done on a positive and negative charge that moves through a potential difference?
How do we apply the Law of Conservation of Energy to determine the speed of a charged particle that has been accelerated through a potential difference?
How do we describe and apply the concept of electric fields?

31. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Vocabulary
Electric Potential
Potential
Difference in Potential
Potential Difference
Volt
Voltage
Equipotential Lines
Equipotential Surfaces
Electric Dipole
Dipole Moment
Electron Volt
Cathode Ray Tube
Thermionic Emission
Cathode
Anode
Cathode Rays
Oscilloscope

32. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Agenda
Complete the following
Lab #5: Potential
Chapter 23 Web Assign Problems up to 23.6

33. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Summary
TBD
HW (Place in your agenda):
Web Assign 23.? - 23.?
Future assignments:
Lab #5: Potential Lab Report (Due in 5 classes)

34. Monday (Day 7)

35. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Warm-Up
Mon, Mar 7
Qualitatively identify the location of the zero potential line between a positive and a negative charge?
Place your homework on my desk:
TBD
For future assignments - check online at

36. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Equipotential Lines
V = 0

37. Essential Question(s)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
How do we calculate the electrical work done on a positive and negative charge that moves through a potential difference?
How do we apply the Law of Conservation of Energy to determine the speed of a charged particle that has been accelerated through a potential difference?
How do we describe and apply the concept of electric fields?

38. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Vocabulary
Electric Potential
Potential
Difference in Potential
Potential Difference
Volt
Voltage
Equipotential Lines
Equipotential Surfaces
Electric Dipole
Dipole Moment
Electron Volt
Cathode Ray Tube
Thermionic Emission
Cathode
Anode
Cathode Rays
Oscilloscope

39. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Agenda
Determine V from E for
A Vertical Line of Charge
A Disk of Charge
Concentric Sphere
Graphic Organizers:
Electric Field Lines and Equipotential Lines (Section 23-5)
Methods for Determining E and V (23-2, 23-3, 23-4, & 23-7)
Complete the following
Lab #5: Potential

40. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Uniform Vertical Wire

41. E-Field: Uniformly Charged Vertical Wire (–∞+∞)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
E-Field: Uniformly Charged Vertical Wire (–∞+∞)

42. Determination of V from E: Uniformly Charged Vertical Wire (–∞+∞)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Uniformly Charged Vertical Wire (–∞+∞) dr

43. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Uniform Disk

44. E-Field: Uniformly Charged Disk (0R)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
E-Field: Uniformly Charged Disk (0R)

45. Determination of V from E: Uniformly Charged Disk (0R)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Uniformly Charged Disk (0R) dz

46. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?

47. Concentric Conducting Spherical Shells
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Concentric Conducting Spherical Shells

48. Concentric Conducting Spherical Shells
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Concentric Conducting Spherical Shells – – rb E + +
dAsphere – – + A1 + r1 ra + + r2 – – + + A2 – r3 – A3

49. Determination of V from E: Outside Concentric Spheres (r ≥ rb)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Outside Concentric Spheres (r ≥ rb) – – rb + + – – + + ra + + – – E + + – – dr
Eoutside=0

50. Determination of V from E: Between Concentric Spheres (r  rb)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Between Concentric Spheres (r  rb) – – rb + + – –
Einside=0 + + ra E + + – – + + – – dr

51. Determination of V from E: Between Concentric Spheres (r  ra)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Between Concentric Spheres (r  ra) – – rb + + – –
Einside=0 + + ra E + + dr – – + + – –

52. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Between Concentric Spheres (ra< r < rb) – – rb + + – – + + ra E + + – – dr + + dr – –
Eoutside=0

53. Determination of V from E: Center of Concentric Spheres (r < ra)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Center of Concentric Spheres (r < ra) – – rb + + – –
Einside=0 + + ra dr E + + – – + + – –

54. Determination of V from E: Between Concentric Spheres (r  rm)
HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of V from E: Between Concentric Spheres (r  rm) – – rb + + – –
Einside=0 + + ra E + + rm – – + + – – dr

55. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Determination of rm where V = 0: Between Concentric Spheres (ra< r < rb) – – rb + + – – + + ra E + + rm – – + + – –
Eoutside=0

56. E(r) for Concentric Spherical ShellsEa Eb r ra rm rb

57. V(r) for Concentric Spherical ShellsVa r ra rm rb Vb

58. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Summary
For concentric cylinders:
determine V for r < ra, ra<r < rb, & r>rb
determine rm in relation to ra & rb,
HW (Place in your agenda):
Equation for rm for concentric cylinders
Future assignments:
Lab #5: Potential Lab Report (Due in 5 classes) E

59. HOW DO WE DESCRIBE AND APPLY THE CONCEPT OF ELECTRIC POTENTIAL?
Summary
For concentric cylinders:
determine V for r < ra, ra<r < rb, & r>rb
determine rm in relation to ra & rb,
HW (Place in your agenda):
Equation for rm for concentric cylinders
Future assignments:
Lab #5: Potential Lab Report (Due in 5 classes) E

60. Determination of V from E: Outside Concentric Cylinders (r > rb)
Einside=0 E
Eoutside=0

61. Determination of V from E: Between Concentric Cylinders (ra<r<rb)
Einside=0 E
Eoutside=0

62. Determination of V from E: Inside Concentric Cylinders (r < ra)
Eoutside=0

63. Determination of rm at V = 0: Between Concentric Cylinders
Einside=0 E
Eoutside=0