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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 15.0° 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 E? Take the magnetic flux through an area to be positive when B crosses the area from top to bottom. ✓ Correct While the direction of A is fixed (by definition, A is perpendicular to the plane of the area), its orientation is arbitrary. In this specific problem, A can be upward or downward. However, since the problem introduction states that the magnetic flux through an area is to be taken positive when B crosses the area from top to bottom, we need to take A to be downward, as shown in the diagram below, so that the angle between B and A is less ▼ than 90° and its cosine is positive. part of the problem. EXECUTE the solution as follows Part C 15% Use this choice of direction for A to work through the next Based on the definition of A given in the previous part, what is the total induced emf & in the bracelet? Express your answer in volts to three significant figures.

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 15.0° 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 E? Take the magnetic flux through an area to be positive when B crosses the area from top to bottom. ✓ Correct While the direction of A is fixed (by definition, A is perpendicular to the plane of the area), its orientation is arbitrary. In this specific problem, A can be upward or downward. However, since the problem introduction states that the magnetic flux through an area is to be taken positive when B crosses the area from top to bottom, we need to take A to be downward, as shown in the diagram below, so that the angle between B and A is less ▼ than 90° and its cosine is positive. part of the problem. EXECUTE the solution as follows Part C 15% Use this choice of direction for A to work through the next Based on the definition of A given in the previous part, what is the total induced emf & in the bracelet? Express your answer in volts to three significant figures.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 15.0° 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 &? Take the magnetic flux through an area to be positive when B crosses the area from top to bottom. Correct While the direction of A is fixed (by definition, A is perpendicular to the plane of the area), its orientation is arbitrary. In this specific problem, A can be upward or downward. However, since the problem introduction states that the magnetic flux through an area is to be taken positive when B crosses the area from top to bottom, we need to take A to be downward, as shown in the diagram below, so that the angle between B and A is less than 90° and its cosine is positive. part of the problem. EXECUTE the solution as follows Part C 15° 13 Review Constants Use this choice of direction for A to work through the next Based on the definition of A given in the previous part, what is the total induced emf & in the bracelet? Express your answer in volts to three significant figures.
Transcribed Image Text: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 15.0° 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 &? Take the magnetic flux through an area to be positive when B crosses the area from top to bottom. Correct While the direction of A is fixed (by definition, A is perpendicular to the plane of the area), its orientation is arbitrary. In this specific problem, A can be upward or downward. However, since the problem introduction states that the magnetic flux through an area is to be taken positive when B crosses the area from top to bottom, we need to take A to be downward, as shown in the diagram below, so that the angle between B and A is less than 90° and its cosine is positive. part of the problem. EXECUTE the solution as follows Part C 15° 13 Review Constants Use this choice of direction for A to work through the next Based on the definition of A given in the previous part, what is the total induced emf & in the bracelet? Express your answer in volts to three significant figures.
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