Griffiths E&M and Convention of the Sign of Potential

Click For Summary
SUMMARY

The discussion centers on the concept of electric potential as defined in Griffiths' "Electromagnetism" (E&M), specifically the convention of setting potential to zero at infinity. Chris questions why potential should not be negative when an object is closer to a charge, given that it has lost potential energy. The clarification provided indicates that for a positive charge, potential increases as one approaches the charge, aligning with the repulsive forces experienced between like charges.

PREREQUISITES
  • Understanding of electric potential and potential energy in electrostatics
  • Familiarity with Griffiths' "Electromagnetism" textbook
  • Knowledge of the inverse square law in physics
  • Basic concepts of charge interactions (attractive vs. repulsive forces)
NEXT STEPS
  • Review the concept of electric potential in Griffiths' "Electromagnetism"
  • Study the implications of the inverse square law on electric forces
  • Explore the relationship between potential energy and electric potential
  • Investigate the behavior of electric fields around positive and negative charges
USEFUL FOR

Students of electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric potential and charge interactions.

kq6up
Messages
366
Reaction score
13
I am reviewing in Griffith's E&M, and I find that potential is defined as zero at infinity (that bits fine). However, should not an object that distance from a charge be less than zero (negative) if it is closer than infinity? It seems it should as it has lost P.E. However, he doesn't seem to use this convention.

Another thought: I have just finished Mechanics in where these inverse square law problems are always attractive. I guess if my test charge was positive and the charge in question was also positive, my forces would be repulsive, and actually increasing potential as I move closer -- maybe that is why I am confused.

Thanks,
Chris
 
Physics news on Phys.org
kq6up said:
I guess if my test charge was positive and the charge in question was also positive, my forces would be repulsive, and actually increasing potential as I move closer -- maybe that is why I am confused.
Sounds like you figured it out for yourself! ;)

The potential about a positive charge is zero at infinity and increases as you get closer. Imagine that positive test charge being repulsed.
 
  • Like
Likes   Reactions: kq6up
Yes, as I was writing the question it dawned on me :D

Chris
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
12K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 54 ·
2
Replies
54
Views
7K
  • · Replies 46 ·
2
Replies
46
Views
5K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K