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How is electric current possible if no electric field exists inside a conductor?

Since no electric field exists inside a conductor. How is electric current possible as $$v_d=\frac{(eE)t}{2m},\;\;{E=0}$$ and $$i=neAv_d$$So current should be zero. Why is it not so?

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E=0 in a conductor under static conditions (no movement of charges) because charges are free to move so if there were an E field charges would be moving. The case of a current is different - charges are moving so E is nonzero.

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