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**Problem Description: Electromotive Force Calculation in a Changing Magnetic Field**

A coil with 200 turns is placed in a uniform magnetic field with a flux of 0.628 mT/m\(^2\). Then the magnetic field changes such that the flux becomes 0.125 mT/m\(^2\) in 3 seconds and the magnetic field changes its direction. If the plane of the loop is perpendicular to the direction of the magnetic field, calculate the electromotive force (emf) generated.

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