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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
IntermediateMCQMathematicalConceptual17.5k
A vertical dashed line represents the boundary between a region of uniform magnetic field B on the left and a field-free region on the right. Inside the magnetic field region on the left, an array of small x symbols indicates the field is directed into the page. Three planar wire loops, labeled Loop 1, Loop 2, and Loop 3, lie in the xy-plane and straddle the boundary line, moving to the right with horizontal velocity vectors labeled v. Loop 1 is a square of width L and height L. Loop 2 is a tall rectangle of width L and height 2L. Loop 3 is a wide rectangle of width 2L and height L. For each loop, its right vertical side is to the right of the dashed boundary line and its left vertical side is to the left of the dashed boundary line. No other labels, lines, text, or axes appear.
Three wire loops exiting a region of uniform magnetic field.
Three single-turn planar wire loops, labeled 1, 2, and 3, each have total electrical resistance \(R\). The loops are pulled to the right at the same constant velocity \(\vec{v}\) across the right-hand boundary of a uniform magnetic field \(\vec{B}\) directed into the page. Loop 1 is a square with side length \(L\). Loop 2 is a rectangle with horizontal length \(L\) and vertical height \(2L\). Loop 3 is a rectangle with horizontal length \(2L\) and vertical height \(L\). At the instant shown, each loop is partially outside the field such that its leading vertical edge is in the field-free region and its trailing vertical edge remains inside the field. Which of the following correctly ranks the magnitude of the external force \(F\) required to keep each loop moving at constant velocity?

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