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AP Physics C: E&M
13.4 Inductance
13.1 Magnetic Flux
AdvancedMCQMathematicalConceptual24.6k
Cross-sectional profiles of three toroids with inner radius \(a\) and outer radius \(b\).
Cross-sectional profiles of three toroids with inner radius \(a\) and outer radius \(b\).
Three toroids, labeled 1, 2, and 3, each have \(N\) tightly wound turns carrying a current \(I\). All three toroids have inner radius \(a\) and outer radius \(b\). Toroid 1 has a rectangular cross-section of uniform height \(h\). Toroid 2 has a triangular cross-section whose height decreases linearly from \(h\) at \(r = a\) to \(0\) at \(r = b\). Toroid 3 has a triangular cross-section whose height increases linearly from \(0\) at \(r = a\) to \(h\) at \(r = b\). Which of the following correctly ranks the self-inductances \(L_1\), \(L_2\), and \(L_3\) of the three toroids?

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