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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
AdvancedMCQMathematical24.2k
Concentric, counter-wound square loops in a magnetic field.
Concentric, counter-wound square loops in a magnetic field.
Two coplanar, concentric square loops made of a single continuous wire are connected in opposition such that current circulating clockwise in one loop flows counterclockwise in the other. The inner loop has side length \(L\) and the outer loop has side length \(2L\). The wire has a uniform resistance per unit length \(\lambda\). The loops are placed in a spatially uniform magnetic field directed perpendicular to the plane of the loops, with a magnitude that increases at a constant rate \(\dfrac{dB}{dt} = \alpha\). Which of the following expressions correctly represents the magnitude of the induced current \(I\) in the circuit?

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