A loop of wire sits in the plane of the page you are looking at,and the magnetic field in which the loop is sitting comes out of the page and is increasing in strength with time according to B = B₀t².What properly describes the current induced in the loop? A)clockwise,getting bigger B)clockwise,getting smaller C)counter-clockwise,getting bigger D)counter-clockwise,getting smaller E)None are correct.

Question

Quizplus · Accepted Answer

The increasing magnetic field induces a current in the loop that opposes the change in magnetic flux, according to Lenz's Law. Since the magnetic field is increasing out of the page, the induced current must create a magnetic field into the page to oppose this increase. This requires a clockwise current when viewed from our perspective. As the magnetic field strength increases, the rate of change of the magnetic field also increases, leading to a larger induced emf and thus a larger induced current over time.

A Loop of Wire Sits in the Plane of the Page