A loop of wire with cross-sectional area 2 m2 is inserted into a uniform magnetic field with initial strength 2 T. The field is parallel to the axis of the loop. The field begins to grow with time at a rate of 2 Teslas per hour. What is the magnitude of the induced EMF in the loop of wire

The magnitude of the induced emf in the loop of wire,

Explanation:

Cross Sectional Area of the loop, A = 2 m²

Magnetic Field Strength, B = 2 T

Rate of change of magnetic field strength, dB/dt = 2 T/hr

dB/dt = 2 * 1/3600

dB/dt = 0.00056 T/s

The induced emf is given by the equation:

Differentiating both sides with respect to t

Since  

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