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A $200$-turn coil of wire is situated in a $5.0 \text{ T}$ magnetic field, such that the coil's plane is perpendicular to the direction of the field. The cross-sectional area of the coil is $0.3\text{ m}^{2}$.

What is the magnitude of the induced emf if the strength of the field is made to increase at a rate of $0.2 \text{ T/s}$?

A

$0.06\text{ V}$

B

$1.5\text{ V}$

C

$12\text{ V}$

D

$300\text{ V}$

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