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AP Physics C: E&M
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalConceptual20k
Cross section of the spherical shell resistor with radial current flow.
Cross section of the spherical shell resistor with radial current flow.
A spherical shell resistor is constructed from a material of uniform resistivity \(\rho\) bounded by inner radius \(a\) and outer radius \(b\). Thin conducting concentric shells at \(r = a\) and \(r = b\) are connected to a potential difference such that a steady total current \(I\) flows radially outward through the resistive material. Which of the following expressions correctly gives the total electrical resistance \(R\) of the spherical shell and the magnitude of the radial electric field \(E(r)\) at a distance \(r\) from the center, where \(a < r < b\)?

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