The figure shows a uniform, 3.0-T magnetic field that is normal to the plane of a conducting, circular loop with a resistance of 1.5 $\varOmega$ and a radius of 0.024 m. The magnetic field is directed out of the paper as shown. Note: The area of the non-circular portion of the wire is considered negligible compared to that of the circular loop. -What is the average current around the loop if the magnitude of the magnetic field is doubled in 0.4 s? A)2.8 × 10^-³ A, clockwise B)4.5 × 10^-³ A, clockwise C)4.5 × 10^-³ A, counterclockwise D)9.0 × 10^-³ A, clockwise E)9.0 × 10^-³ A, counterclockwise

Question

Quizplus · Accepted Answer

The average current is determined by the change in magnetic flux over time. Doubling the magnetic field in 0.4 s results in a specific change in flux, which induces an electromotive force (EMF) and hence a current. The direction of the current is determined by Lenz's law, which states that the induced current will oppose the change in magnetic flux, resulting in a clockwise direction.

The Figure Shows a Uniform, 3 Ω\varOmegaΩ And a Radius of 0

The Figure Shows a Uniform, 3 $\varOmega$ And a Radius of 0