Why is the Electric Field in a Conductor Zero After Removing Negative Charge?

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SUMMARY

The electric field within a conductor remains zero after the removal of a negative charge due to the behavior of free charges in response to external electric fields. When a conductor is placed in an electric field, positive charges move in the direction of the field while negative charges move against it. According to Gauss's Law, the internal electric field plus the external electric field equals zero, ensuring that any disturbance, such as the removal of a negative charge, results in the redistribution of free charges until equilibrium is restored, maintaining a zero electric field inside the conductor.

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a problem.put a conductor in a electric field .then we konw that in the conductor ,the positive charge will move along with the direction of the electric field,and the negative charge will move along against the direction of the field.then at all point in the conductor ,the external field+the internal field is 0.there is no problem.
but,now if we move the negative charge away(the external field do not change all the time),in this case,the field in the conductor is still 0(i can get this conclusion with Gauss law ).but why?
 
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goodboy said:
a problem.put a conductor in a electric field .then we konw that in the conductor ,the positive charge will move along with the direction of the electric field,and the negative charge will move along against the direction of the field.then at all point in the conductor ,the external field+the internal field is 0.there is no problem.
but,now if we move the negative charge away(the external field do not change all the time),in this case,the field in the conductor is still 0(i can get this conclusion with Gauss law ).but why?
If you remove a negative charge from a neutral conductor it becomes a charged conductor.

The field in the conductor is 0 because if it was not, the free charges in the conductor would move (opposite to the direction of the field) until the field became 0.

AM
 

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