Can a Conductor Maintain Electrostatic Equilibrium Without Free Charges?

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IDOGAWACONAN
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Homework Statement



When books of elctromagnetism talk about Electrostatic equilibrium,they say electric charges will keep moving if electric field in the conductor doesn't equal to zero utill it does.However,what if there are no excess free charges in the area where that doesn't equal to zero?

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The Attempt at a Solution



Maybe areas without free charges in the conductor can not be called 'conductor'.
 
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You're right ... conducts are materials with excess of free electrons

If you apply electric field across dielectric or insulator ... yo will not notice any current