Electric field inside a solid conducting sphere carrying charge q.

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SUMMARY

The electric field inside a solid conducting sphere carrying charge q is definitively zero when the radius r is less than the sphere's radius a. This conclusion is derived from Gauss's Law, which states that the electric field E is determined by the enclosed charge. Since the charge resides on the surface of the conductor, there is no charge enclosed within the volume when r PREREQUISITES

  • Understanding of Gauss's Law
  • Knowledge of electric fields and charge distribution
  • Familiarity with the properties of conductors
  • Basic concepts of electrostatics
NEXT STEPS
  • Study the implications of Gauss's Law in different geometries
  • Explore the behavior of electric fields in hollow versus solid conductors
  • Learn about charge distribution in conductors and insulators
  • Investigate the principles of electrostatics in more complex systems
USEFUL FOR

Students of physics, particularly those studying electrostatics, electrical engineers, and educators looking to clarify concepts related to electric fields in conductors.

theBEAST
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Homework Statement


A solid conducting sphere carrying charge q has radius a. What is the electric field when r<a.

Homework Equations


EA=Qenclosedo

The Attempt at a Solution


I found it using gauss law where Q=density*V. I ended up with qr/(4pi*a3o)HOWEVER, my friend told me it should be E=0 and we are unsure which one is the right answer. The method I used assumes that the charge is uniformly distributed throughout the volume of the sphere.

Also, I believe that E=0 only when you have a hollow sphere with no charge inside. In this question, it is a SOLID sphere.
 
Last edited:
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theBEAST said:

Homework Statement


A solid conducting sphere carrying charge q has radius a. What is the electric field when r<a.


Homework Equations


EA=Qenclosedo

The Attempt at a Solution


I found it using gauss law where Q=density*V. I ended up with qr/(4pi*a3o)


HOWEVER, my friend told me it should be E=0 and we are unsure which one is the right answer. The method I used assumes that the charge is uniformly distributed throughout the volume of the sphere.

Also, I believe that E=0 only when you have a hollow sphere with no charge inside. In this question, it is a SOLID sphere.
What do you know about conductors?

What do you know about like charges?
 
SammyS said:
What do you know about conductors?

What do you know about like charges?

thanks figured it out :)
 

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