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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
AdvancedMCQMathematical24.2k
Two concentric square loops of thin wire lie in the plane of the page. The smaller inner square has side length L, and the larger outer square has side length 2L. The wire from the top edge of the inner square crosses over to the bottom edge of the outer square, forming a single continuous counter-wound figure-eight loop configuration. A uniform magnetic field represented by a regular grid of cross symbols indicating field into the page covers the entire region of both loops, labeled \vec{B}. No other labels, lines, text, or axes appear.
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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