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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
12.2 Magnetism and Moving Charges
AdvancedMCQGraphicalProportional AnalysisConceptual15.4k
A horizontal x-axis extends to the right with vertical tick marks labeled 0, L, 2L, and 3L. In the interval from x = 0 to x = L, a vertical rectangular region is shaded with an array of six evenly spaced 'x' marks representing a magnetic field into the page, labeled B_0 into page. In the adjacent interval from x = L to x = 2L, a vertical rectangular region of identical size is shaded with an array of six evenly spaced solid dots representing a magnetic field out of the page, labeled B_0 out of page. To the left of x = 0, a square loop of side length L is drawn in the plane of the page, with a rightward horizontal arrow at its center labeled v. A small curved arrow inside the loop pointing counterclockwise is labeled +.
Square loop moving at constant speed through two adjacent magnetic field regions.
A square conducting loop of side length \(L\) and resistance \(R\) lies in the plane of the page and moves with a constant velocity \(v\) in the \(+x\)-direction. A region of uniform magnetic field \(B_0\) directed into the page exists in the interval \(0 < x < L\), and a region of uniform magnetic field \(B_0\) directed out of the page exists in the interval \(L < x < 2L\). The magnetic field is zero everywhere else. Counterclockwise induced emf is defined as positive. Which of the following graphs best represents the induced emf \(\varepsilon\) in the loop as a function of the leading edge's position \(x\) from \(x = 0\) to \(x = 3L\)?

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