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(D) For a steady current $i$ flowing through a conductor,the charge conservation principle implies that the current $i$ must be constant at every cros

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(D) For a steady current $i$ flowing through a conductor,the charge conservation principle implies that the current $i$ must be constant at every cross-section of the conductor.The current density is given by $j = \frac{i}{A}$,where $A$ is the cross-sectional area. Since $A$ varies along the length,$j$ is not constant.From Ohm's law in microscopic form,$j = \sigma E$. Since $j$ varies,the electric field $E$ must also vary along the length.Furthermore,the drift velocity is given by ${v_d} = \frac{j}{ne} = \frac{i}{Ane}$. Since $A$ varies,the drift velocity ${v_d}$ is also not constant.Therefore,only the current $i$ remains constant along the length of the conductor.

$A$ steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are:

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