Why Is the Potential Zero on the Surface of a Conducting Sphere in an E-Field?

Click For Summary
SUMMARY

The discussion centers on the electrostatics of a conducting sphere placed in a uniform electric field. The key point is that the potential (V) on the surface of the conducting sphere is set to zero for computational convenience, as potential is relative and can be defined at any point in the field. The electric field (E) inside the sphere is zero, leading to a constant potential throughout its interior. This assumption simplifies the analysis of surface charge density on the sphere.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with electric fields and potentials
  • Knowledge of conducting materials in electrostatic contexts
  • Basic calculus for solving electrostatic problems
NEXT STEPS
  • Study the concept of electric potential and its reference points
  • Learn about the behavior of electric fields in conductors
  • Explore Gauss's Law and its applications to spherical conductors
  • Investigate the implications of setting potential to zero in electrostatic problems
USEFUL FOR

Students and professionals in physics, particularly those focusing on electrostatics, electrical engineers, and anyone studying the behavior of electric fields around conductors.

sachi
Messages
63
Reaction score
1
I've solved an electrostatics problem where we have to find the surface charge density on a conducting sphere in a previously uniform E-Field, but I had to assume that V=0 on the surface of the cylinder, and I'm not sure why this is the case. I know that E=0 inside, so the potential should be constant, but I don't see why it should be zero (is this an extra assumption, or is there something else I'm missing?)
thanks for your help

Sachi
 
Physics news on Phys.org
The potential "V" is relative to something. You can call the baseline V=0 anywhere in a field. Probably it was specified as V=0 on the surface of the sphere for ease of computation.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 49 ·
2
Replies
49
Views
7K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
4
Views
5K
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K