A magnetic B field of strength 0.4 T is perpendicular to a loop with an area of

Question

A magnetic B field of strength 0.4 T is perpendicular to a loop with an area of 2 m2. If the area of the loop is reduced to zero in 0.6 s, then what is the magnitude of the induced emf voltage?

The original B field penetrating the loop points ________ the page. (Into/out of)
As the loop is pulled as indicated, the magnetic flux ? penetrating the loop ________. (increases/decreases/remains the same)

Therefore, the loop generates an induced B field that points ________ the page. (into/ out of)

This induced B field is due to an induced current that flows ________ in the loop. (increases/remains the same/ decreases)

Explanation / Answer

The magnitude of the induced emf voltage is ( from Faraday' law)

e = -d(flux)/dt = -BdA/ dt =- B(Af-Ai)/dt =- 0.4 T( 0-2 m^2)/0.6s = 1.33 V

into the page

magnetic flux is proportioal to area when loop is pulled area increases which increase magnetic flux

into the page

reamins same since B proportional to induced current

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