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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
AdvancedMCQMathematicalProportional Analysis21.6k
Two side-by-side diagrams labeled Loop 1 and Loop 2. On the left, Loop 1 is a square wire loop of side length a, partially exiting a rectangular shaded region of uniform magnetic field B (represented by field dots pointing out of the page). An arrow labeled v points to the right, indicating the motion of Loop 1. On the right, Loop 2 is a square wire loop of side length 2a, twice as wide and tall as Loop 1, partially exiting a rectangular shaded region of uniform magnetic field 4B (also represented by field dots). An arrow labeled 3v points to the right, indicating the motion of Loop 2. No other labels, lines, text, or axes appear.
Two square loops pulled out of uniform magnetic field regions at constant speeds.
Square Loop 1 with side length \(a\) and square Loop 2 with side length \(2a\) are constructed from the same uniform conducting wire. Loop 1 is pulled at constant speed \(v\) completely out of a region containing a uniform magnetic field of magnitude \(B\), while Loop 2 is pulled at constant speed \(3v\) completely out of a region containing a uniform magnetic field of magnitude \(4B\). In both cases, the magnetic field is perpendicular to the plane of the loop. What is the ratio \(Q_2 / Q_1\) of the total electric charge that passes through a cross section of Loop 2 to that of Loop 1 during the process of exiting the field?

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