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(B) The current $i$ flowing through the resistor is constant throughout its length because it is a series circuit.The relationship between current $i$

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(B) The current $i$ flowing through the resistor is constant throughout its length because it is a series circuit.The relationship between current $i$, current density $J$, and drift velocity $V_d$ is given by:$i = J A$$J = n e V_d$Substituting $J$ into the current equation:$i = (n e V_d) A$Since $i$, $n$, and $e$ are constants, we have:$A V_d = 	ext{constant}$$V_d \propto \frac{1}{A}$Since the area $A = \pi r^2$, where $r$ is the radius, we have $V_d \propto \frac{1}{r^2}$.In the middle part of the cylinder, the radius $r$ is larger, so the area $A$ is larger.Therefore, the drift velocity $V_d$ must be smaller in the middle part of the cylinder compared to the ends.This corresponds to the graph where the value of $V_d$ decreases in the region with the larger radius. Graph $B$ shows this behavior.

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