what is the total charge on a current carrying wire?and why?
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it depends on the nature of the material
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Net charge on a wire is zero then there will be no force. Its when charge is set in motion by applying potential difference then the charge in a motion develops a perpendicular magnetic field around it. This magnetic field have field lines.
The external magnetic field opposes this field lines and you see the charge getting deflected.
Simplest explanation to this is [math]\vec{F}=q(\vec{v}\times \vec{B})[/math]
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