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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
AdvancedMCQMathematicalProportional Analysis21.6k
Two square loops pulled out of uniform magnetic field regions at constant speeds.
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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