Learning Goal: To practice Problem-Solving Strategy 29 1: Faraday\'s Law. A meta

Question

Learning Goal: To practice Problem-Solving Strategy 29 1: Faraday's Law. A metal detector uses a changing magnetic field to detect metallic objects. Suppose a metal detector that generates a uniform magnetic field perpendicular to its surface is held stationary at an angle of 15.0degree to the ground, while just below the surface there lies a silver bracelet consisting of 6 circular loops of radius 5.00 cm with the plane of the loops parallel to the ground. If the magnetic field increases at a constant rate of 0.0250 T/s, what is the induced emf epsilon? Take the magnetic flux through an area to be positive when B rightarrow crosses the area from top to bottom. Based on the definition of A rightarrow given in the previous part, what is the total induced emf epsilon in the bracelet? Express your answer in volts to three significant figures.

Explanation / Answer

Induced voltage = NBAcos(angle)/t where B/t can be defined as magnetic flux and is 0.0250 T/s Induced voltage = (6)(0.0250)(pi)(.05)^2cos(15) Induced voltage = 1.14 * 10^-3 V BOL

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