Electric field and the charged conductor.

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SUMMARY

The discussion centers on the behavior of electric fields within charged conductors placed in external electric fields. It is established that the net electric field inside a charged conductor is zero under electrostatic conditions, contradicting the professor's claim of a non-zero field. This is supported by the principle that free electrons within the conductor would remain stationary, ensuring electrostatic equilibrium. The only scenario where an electric field exists inside a conductor is when current flows, described by the equation j = σE, where j is current density and σ is conductivity.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with the behavior of conductors in electric fields
  • Knowledge of current density and conductivity
  • Basic principles of charge distribution in conductors
NEXT STEPS
  • Study the principles of electrostatics in detail
  • Explore the relationship between current density and electric fields using j = σE
  • Investigate the behavior of non-ideal conductors and their electric fields
  • Examine the effects of external electric fields on various materials
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electrostatics and conductor behavior in electric fields.

rohit dutta
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It is well known that under electrostatic conditions, a neutral conductor when placed in an external electric field encloses a net zero electric field within it. But, do you think that the electric field within a charged conductor is zero, when it is placed in an external electric field?

According to a professor, the net electric field within a charged conductor is non-zero in this case. Do textbooks also say this?

Well, if it were true, then the net electric field within would keep the free electrons in motion and electrostatic conditions will never be achieved.
 
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rohit dutta said:
But, do you think that the electric field within a charged conductor is zero, when it is placed in an external electric field?
Yes it is.

Well, if it were true, then the net electric field within would keep the free electrons in motion and electrostatic conditions will never be achieved.
That's exactly the reason why the interior of an ideal conductor is always charge-free.
 
For zero current flowing, the steady-state E field inside any conductor is zero. That's so for any conductivity > 0.

The only E field existing inside a conductor is if there is current and is given by j = σ E, j = current density, σ = conductivity. (Certain crystalline and anisotropic materials do not follow this exact equation).
 

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