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(D) In a metallic conductor,the electric current $I$ is defined as the rate of flow of charge through a cross-section.For a steady current flowing thr

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Electric current

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(D) In a metallic conductor,the electric current $I$ is defined as the rate of flow of charge through a cross-section.For a steady current flowing through a conductor of non-uniform cross-section,the current $I$ remains constant throughout the conductor because charge cannot accumulate at any point.According to the equation of continuity,$I = nAev_d$,where $n$ is the number density of electrons,$A$ is the cross-sectional area,$e$ is the electronic charge,and $v_d$ is the drift velocity.Since $I$ is constant,if the area $A$ changes,both the current density $J = I/A$ and the drift velocity $v_d = I/(nAe)$ must change to maintain the constant current.Therefore,only the electric current $I$ remains constant.

$A$ steady current is flowing in a metallic conductor of non-uniform cross-section. The physical quantity which remains constant is

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