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AP Physics 2
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQProportional AnalysisConceptual18.4k
A hollow cylindrical resistor connected to a voltage source.
A hollow cylindrical resistor connected to a voltage source.
A resistor consists of a hollow cylinder of resistivity \(\rho\), length \(L\), inner radius \(r_1\), and outer radius \(r_2\). Conductive end caps are attached to both circular ends, connecting the resistor to an ideal battery that maintains a constant potential difference \(V_0\) across its length, producing a total current \(I_1\) and a uniform current density \(J_1\). A second resistor of the same length \(L\) and resistivity \(\rho\) is constructed with inner radius \(2r_1\) and outer radius \(2r_2\), and is connected across the same potential difference \(V_0\). Which of the following correctly compares the total current \(I_2\) to \(I_1\) and the magnitude of the current density \(J_2\) to \(J_1\)?

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