Does an Electric Field Exist Inside a Conductor?

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SUMMARY

The discussion clarifies that the electric field inside a conductor is zero when charges are at rest, as stated by Gauss's law. In a hollow conductor, any charge resides on the surface, resulting in no electric field within the conductor itself. If a positive charge is introduced within the conductor, it induces negative charges on the inner surface, but the overall electric field inside the conductor remains zero. Therefore, the presence of external charges does not create an electric field inside the conductor, confirming the textbook's assertion.

PREREQUISITES
  • Understanding of Gauss's Law
  • Basic concepts of electric fields and charge distribution
  • Familiarity with conductors and insulators
  • Knowledge of electrostatics and charge interactions
NEXT STEPS
  • Study Gauss's Law in detail, focusing on its applications in electrostatics.
  • Explore the concept of electric field lines and their behavior in conductors.
  • Investigate the effects of induced charges on conductors with external electric fields.
  • Learn about the differences between hollow and solid conductors in electrostatic scenarios.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics, particularly the behavior of electric fields within conductors.

leelee
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Hi,
I am confused about the electric field within a conductor.
My textbook states that it is zero when charges at rest. Does this mean, the there is no electric field within the metal part of the conductor (let's assume this conductor is a hollow sphere), or the actual "empty" inside core of the conductor? Is the charge also inside the core of the conductor?? Because the textbook then goes on with an example about a positive charge within the conductor, and how the lines from that positive charge would end on the negative charges on the inner surface of the conductor (this is induced) and therefore a postiive charge would be on the outter surface of the conductor. Thus now, a electric field would exist outside the conductor. However in this case, wouldn't there now be an electric field inside the conductor??
So from this what i think is, if there are no charges within the conductor but there are charges outside of it, and they are not moving, then there is no electric field within the conductor. Howeever if there are charges within the conductor, then a field would radiate from that charge, and induce charges on the metal of the conductor, and the conductor would also create a electric field.
Is this correct, or am i misunderstanding the text?

thanks!
 
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See if this helps.

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elesph.html#c2

In a hollow conductor, the charges on the surface produce an electric field on the outside. but by Gauss's law, E=0 inside.

If the sphere is not hollow, but filled with a conductor or dielectric with a distributed charge, then there will be an electric field determined by the charge enclosed in the appropriate Gauss surface.

Now what happens in a conductive material. Well in matter composed of atoms containing positive nuclei and negative electrons, charges are balanced. Excess charge may accumulate in the conductor, but since like charges repel, the charges in a conductor accumulate at the surface, which brings us back to the situation of a hollow sphere with a surface charge.
 

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