volume charge density of conductor

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rameshbalan

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In conductor, is the volume charge density is zero even though the conductor connected to dc battery.please explain
 

hi
i don't think charge carrier density is zero ! either it connected or not to a battery.of course in "conductor".
it can increase when the conductor connected to a battery with ionized electron and left valance band to conductive band.
in conductor there are a lot of charge carrier in conductive band so when it connect to a battery it cues to generate an electricity field that force the carrier charge to move in specific direction , electron: opposite of electricity field direction and hole :straight.
 

but in "electromagnetic field theory fundamentals" by hirizogulu book.they are solving that zero volume current density for conduction current density. please explain
 

Check if this attachment helps !!
 

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