1. 23 Electric Potential all sections
Just as force/charge was useful, Work/charge = volt is useful
Electric field = volt/meter /

2. Potential Difference V

3. Inferring V from E

4. Work done by the electric field depends on direction of motion.

5. Potential is defined = Change In Potential, and is relative to a reference position (usually where V = 0)

6. Energy

7. Work done by push may be opposite of work done by field
work done by the field in this diagram is negative
this causes DU to be positive

10. Potential is a Scalar Integral which is an easier calculation than E which is a Vector Integral

11. All charge at distance r.

13. dq dV V

15. If x >> R:
which is a point-charge potential

16. If x << R: Potential approaches finite value but…
Potential approaches finite value
but…
the Potential is not the same function as found for an infinite plane of charge since
V ≠ 0 when r = infinity

17. x V 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

18. E = 0 inside a conducting shell implies V = constant inside

19. Example Equal Potential Lines

20. Electric Field

21. Summary
Potential is a convenient scalar function which describes the charge situation
Electric field can be deduced from the potential

23. Potential of Point Charge in Spherical Shell