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A 117-turn circular coil of radius 2.97 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.145 s, the magnetic field strength increases from 50.7 mT to 99.9 mT. Find the magnitude of the average emf induced in the coil during this time interval, in millivolts.

Answer :

Final answer:

The magnitude of the average emf induced in the coil can be calculated using Faraday's law. The emf induced on each side of the coil is given by ε = Blv sin θ. To find the average emf over the given time interval, we can calculate the instantaneous emf at the initial and final magnetic field strengths, and then take the average.

Explanation:

The magnitude of the average emf induced in the coil can be calculated using Faraday's law. Since the magnetic field is perpendicular to the plane of the coil, the emf induced on each side of the coil is given by emf = Blv sin θ. The total emf around the coil is then ε = 2Blv sin θ. To find the average emf over the given time interval, we can calculate the instantaneous emf at the initial and final magnetic field strengths, and then take the average.

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