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A loop of wire with an area $A$ and has a magnetic field $B$ going through the face of the loop perpendicularly. Assume that the magnetic field is increasing at a rate so that $B=at$, where $a$ is constant. What would the induced $emf$ be?

A

$atA$

B

$aA$

C

$aAt^{2} $

D

$aA^{2}$

E

$a^{2}A$

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