Why is E-field 0 outside of this sphere?

Click For Summary
SUMMARY

The electric field (E-field) is zero outside a conducting sphere when the radius (r) exceeds the sphere's radius (c). This is due to the redistribution of charges within the sphere, which occurs when a positive charge is placed at the center, causing electrons to move towards the inner part of the sphere. Grounding the sphere sets its electric potential to zero, confirming that the E-field outside remains zero and the net charge on the outer surface is also zero. The integral for calculating potential difference should be evaluated from r = a to r = b, not to c, as the outer sphere's influence is nullified beyond its surface.

PREREQUISITES
  • Understanding of electric fields and potentials
  • Familiarity with Gauss's Law
  • Knowledge of conductors and charge distribution
  • Basic calculus for evaluating integrals
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Learn about charge distribution in conductors
  • Explore the concept of electric potential and grounding
  • Practice solving integrals related to electric fields
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in electrostatics and electric field theory will benefit from this discussion.

flyingpig
Messages
2,574
Reaction score
1

Homework Statement



http://img825.imageshack.us/img825/5992/gauss.th.png

Uploaded with ImageShack.us


2. Solutions

For b) - iv

They say the E-field is 0 for r > c

Why?

Also for part c), they say the answer should be the integral from r = a to r = b.

My question is, why isn't it from r = a to r = c (c is the surface of the other sphere)?

What does "grounding" the sphere actually tell you?
 
Last edited by a moderator:
Physics news on Phys.org
Since the outer sphere is a conducting sphere the charges will be attracted to one side of the sphere due to the electric field caused by the charge at the center. So the field when the charge is positive is directed radially outward, this causes the elctrons to move to the inner part of the sphere while leaving the outer part positively charged and thus a field is generated inside the material which cancels the field of the charge.

For you final question the field in the outer sphere is zero and therefore the potential difference is not altered within the conducting shell since it has no magnetic field inside.

If you have any questions please ask!
 
Grounding the spherical shell means that its electric potential is made to be zero. Therefore, you know that the electric field outside the shell is zero. Also, the net charge on the outer surface of the shell is zero.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
2
Views
3K
Replies
23
Views
5K
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
6K
Replies
6
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K