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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.3 Resistance, Resistivity, and Ohm’s Law
11.1 Electric Current
AdvancedMCQGraphicalProportional AnalysisConceptual14.6k
Composite cylindrical conductor of length \(2L\) connected to an ideal battery.
Composite cylindrical conductor of length \(2L\) connected to an ideal battery.
A cylindrical conductor of total length \(2L\) consists of two joined uniform segments of length \(L\) made of the same ohmic material of resistivity \(\rho\). Segment 1 (from \(x = 0\) to \(x = L\)) has cross-sectional area \(A\), and Segment 2 (from \(x = L\) to \(x = 2L\)) has cross-sectional area \(2A\). The end at \(x = 0\) is connected to the positive terminal of an ideal battery of potential difference \(\mathcal{E}\), and the end at \(x = 2L\) is connected to the grounded negative terminal (\(V = 0\)). Which of the following graphs best represents the electric potential \(V\) as a function of position \(x\) along the conductor?

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