Asingle circular loop with a radius of 35 cm is placed in a uniform external magnetic field with a strength of 0.50 t so that the plane of the coil is perpendicular to the field. the coil is pulled steadily out of the field in 15 s. find the magnitude of the average induced emf during this interval. show all work and include units of measure.

0.0129 V

Explanation:

The average emf induced in the coil is given by Faraday-Newmann-Lenz:

where

is the variation of magnetic flux through the coil

is the time interval

Here we have

B = 0.50 T is the strength of the magnetic field

The radius of the coil is

r = 35 cm = 0.35 m

So the area is

The initial flux through the coil is

while the final flux is zero, since the coil has been completely removed from the magnetic field region; so, the variation of magnetic flux is

and so, the average emf induced is

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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