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 magnitude of the induced emf in the circuit is given by:

where

is the change in magnetic flux through the coil

is the time interval

To find the change in magnetic flux, we need to find the initial flux and the final flux.

The area of the coil is

The initial magnetic field is

so the initial flux is

While the final flux is zero, since the coil is completely out of the magnetic field:

so the magnitude of the change in flux is

While the time interval is

so the induced emf is

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