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AP Physics 2
12.1 Magnetic Fields
IntermediateMCQConceptual25.7k
A 2D schematic showing a cross-section of a thick circular ring representing a hollow shell made of high-permeability material placed in an external magnetic field. Horizontal parallel magnetic field lines approach the shell from the left. As the field lines reach the shell, they bend smoothly into the top and bottom curved walls of the ring, traveling through the solid material of the shell wall and exiting to the right as horizontal lines. The central hollow circle inside the shell contains almost no field lines. The uniform external field far from the shell is labeled B_0, and the hollow interior region is labeled B_inside. No other labels, lines, text, or axes appear.
Cross-section of a high-permeability shell in a magnetic field.
A hollow cylindrical shell made of a material with very high magnetic permeability \(\mu \gg \mu_0\) is placed in a region with an initially uniform external magnetic field \(B_0\). A detector measures the magnetic field magnitude \(B_{\text{inside}}\) at the center of the hollow region inside the shell. Which of the following correctly compares \(B_{\text{inside}}\) to \(B_0\) and provides the correct physical justification?

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