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AP Physics C: E&M
12.4 Ampère’s Law
BeginnerMCQMathematical13.3k
A top-down schematic diagram of a toroidal solenoid centered at the origin. Two concentric dashed circles represent the inner boundary of radius a and the outer boundary of radius b = 2a. A solid black circle represents a circular Amperian loop of radius r between a and b. Uniformly spaced small wire loops are wrapped around the torus. A straight arrow labeled a extends from the center to the inner boundary. A straight arrow labeled b = 2a extends from the center to the outer boundary. No other labels, lines, text, or axes appear.
Top-down cross-sectional diagram of the toroidal solenoid.
A toroidal solenoid with \(N\) tightly wound turns carries a constant current \(I\). The toroid has an inner radius \(a\) and an outer radius \(b = 2a\). What is the ratio \(B_{\text{inner}} / B_{\text{outer}}\) of the magnetic field magnitude at the inner radius \(r = a\) to the magnetic field magnitude at the outer radius \(r = 2a\) inside the toroid?

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