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AP Physics C: E&M
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQGraphicalMathematical16.1k
A horizontal cylindrical rod of length L and cross-sectional area A lies along the x-axis from x = 0 to x = L. An arrow labeled I points to the right inside the rod. The left end at x = 0 is labeled V_0 and the right end at x = L is labeled 0. Below the rod, a formula label reads \rho(x) = \rho_0(1 + x/L). No other labels, lines, text, or axes appear.
A rod of length L with position-dependent resistivity carrying steady current I.
A cylindrical conducting rod of length \(L\) and uniform cross-sectional area \(A\) carries a steady current \(I\) flowing in the \(+x\)-direction from \(x = 0\) to \(x = L\). The electric potential along the rod is fixed at \(V(0) = V_0\) and \(V(L) = 0\). The resistivity of the material varies linearly along its length according to \(\rho(x) = \rho_0 \left(1 + \dfrac{x}{L}\right)\), where \(\rho_0\) is a positive constant. Which of the following best describes the graph of the electric potential \(V(x)\) as a function of position \(x\) for \(0 \le x \le L\)?

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