The plane of a loop of wire is perpendicular to a magnetic field. rank, from greatest to least, the magnitudes of the loop's induced emf for each situation. a. the magnetic field strength increases from 0 t to 1 t in 6 s. b. the magnetic field strength increases from 1 t to 4 t in 2 s. c. the magnetic field strength remains at 4 t for 1 min. d. the magnetic field strength decreases from 4 t to 3 t in 4 s. e. the magnetic field strength decreases from 3 t to 0 t in 1 s.

E - B - D - A - C

Explanation:

The magnitude of the emf induced in the loop of wire is given by Faraday-Newmann-Lenz

(1)

where

is the variation of magnetic flux

is the time interval

Rewriting the flux as product between magnetic field strength (B) and area enclosed by the coil (A):

and since the area of the coil does not change, the variation of flux can be rewritten as

So (1) becomes

Which means that the induced emf is proportional to the rate of change of the magnetic field, . So we just need to calculate this quantity for each scenario, and rank them from greatest to latest.

We have:

A)

B)

C)

D)

E)

So, from greatest to least magnitude, we have:

E - B - D - A - C