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AP Physics 2
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalProportional Analysis25k
Diagram of the stepped conductor and the equivalent-volume uniform conductor.
Diagram of the stepped conductor and the equivalent-volume uniform conductor.
A stepped cylindrical conductor of resistivity \(\rho\) is made of two coaxial sections joined end-to-end, each of length \(L\). Section 1 has radius \(r\) and Section 2 has radius \(2r\). A second, uniform cylindrical conductor made of the same material has the same total length \(2L\) and the same total volume as the stepped conductor. What is the ratio \(R_{\text{stepped}} / R_{\text{uniform}}\) of the electrical resistance of the stepped conductor to that of the uniform conductor along their central axes?

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