Can Electric Potential Be Understood On Intuitive Level?

Click For Summary
SUMMARY

The discussion centers on understanding electric potential in relation to electric fields at points between two point charges. When two like charges are present, the electric field is zero at the midpoint, yet electric potential exists, indicating a flat potential at that location. Conversely, with opposite charges, the electric field is present at the midpoint, resulting in a force on a test charge, but the electric potential remains zero. This analogy is likened to a topographical map, where potential corresponds to height and the electric field represents the slope.

PREREQUISITES
  • Understanding of electric potential and electric fields
  • Familiarity with point charges and their interactions
  • Basic knowledge of physics concepts at the high school level
  • Ability to visualize concepts using analogies, such as topographical maps
NEXT STEPS
  • Study the relationship between electric potential and electric fields in more detail
  • Explore the concept of electric potential energy in the context of point charges
  • Learn about the mathematical representation of electric potential and field strength
  • Investigate the implications of electric potential in practical applications, such as capacitors
USEFUL FOR

High school physics students, educators teaching honors physics, and anyone seeking to deepen their understanding of electric potential and fields without advanced calculus.

jon4444
Messages
68
Reaction score
1
There are two situations with electric potential that confuse me. They're the spots midway between two point charges. If the charges are the same, then the electric field is zero and a test charge would not move if placed there. How can there then be electric potential in that spot?

If charges are opposite, there would be electric field at the mid-way point, a test charge would feel a force and therefore move (and have work done on it?) and yet the electric potential of that spot is zero.

I'm trying to see if there's a simple, intuitive way of understanding this at the High School honors physics (non-calculus) level. Any help appreciated. Thanks,

J
 
Physics news on Phys.org
The forces on the test charge sum to zero only at one point. Move either a positive or a negative test charge a small amount and the force is no longer zero.
 
jon4444 said:
There are two situations with electric potential that confuse me. They're the spots midway between two point charges. If the charges are the same, then the electric field is zero and a test charge would not move if placed there. How can there then be electric potential in that spot?
The electric potential is flat at that point, but it need not be zero.

jon4444 said:
If charges are opposite, there would be electric field at the mid-way point, a test charge would feel a force and therefore move (and have work done on it?) and yet the electric potential of that spot is zero.

I'm trying to see if there's a simple, intuitive way of understanding this at the High School honors physics (non-calculus) level.
Think about it like a hill or a topographical map. The height is the potential, the E-field is the gradient of the potential, i.e. the steepness and direction of the slope. So you can have a spot with a high elevation (high potential) that is flat (no E-field) or you can have a spot with elevation 0 (potential is 0) but steeply sloped (large E-field).
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
9K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K