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(A) For a metallic conductor connected to a constant potential difference $V$,the current $I$ flowing through any cross-section must be the same due t

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(A) For a metallic conductor connected to a constant potential difference $V$,the current $I$ flowing through any cross-section must be the same due to the principle of conservation of charge (steady state condition).Since $I = nAev_d$,where $n$ is the number density of electrons,$A$ is the cross-sectional area,$e$ is the charge of an electron,and $v_d$ is the drift velocity,if $A$ varies,$v_d$ must also vary to keep $I$ constant.Similarly,current density $J = I/A$ varies with $A$,and since $J = \sigma E$,the electric field $E$ also varies along the conductor.Therefore,the current $I$ is the only quantity that remains constant.

$A$ metallic conductor of non-uniform cross-sectional area is subjected to a constant potential difference. Which of the following quantities remains constant along the conductor?

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