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AP Physics C: E&M
13.3 Induced Currents and Magnetic Forces
13.2 Electromagnetic Induction
IntermediateMCQMathematicalConceptual23.1k
Two identical wire loops in a time-varying magnetic field.
Two identical wire loops in a time-varying magnetic field.
Two single-turn circular wire loops, Loop 1 and Loop 2, have identical loop radius and wire cross-sectional area. Loop 1 is made of a metal with resistivity \(\rho_0\), and Loop 2 is made of a metal with resistivity \(2\rho_0\). Both loops lie stationary in the plane of the page within a uniform magnetic field directed into the page whose magnitude varies with time according to \(B(t) = \beta t^2\), where \(\beta\) is a positive constant. At any time \(t > 0\), which of the following correctly compares the magnitude of the induced EMF \(\mathcal{E}\) and the magnitude of the induced current \(I\) in the two loops?

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