Question

A technician wearing a cor metal band on his wrist moves and from a region where the magnetic field is zero toniform ugnetic field of magnitude 1.4 Tinate of 0:26 the diameter of the band is 6.0 on and the field is at an angle of 45 with the plane of the metal band while the hand is in the field find the magnitude of the average of induced the band my

Answer 1

Faraday's law of electromagnetic induction is used to solve this problem. The magnetic flux changes as the metal band moves into a magnetic field, causing an emf to be induced. The average magnitude of this induced emf can be found by applying Faraday's law.

Step-by-step explanation:

The question refers to Faraday's Law of Electromagnetic Induction. The induced electromotive force (emf) in a circuit is defined as the time rate of change of magnetic flux through that circuit. This law can be expressed mathematically as E = -N ΔΦ/Δt, where E is the induced emf, N is the number of turns in the coil (1 in this case), ΔΦ is the change in magnetic flux, and Δt is the change in time.

In this case, the metal band or loop is moving into a magnetic field, so there is a change in magnetic flux. As the magnetic field is inclined at an angle of 45 degrees to the plane of the loop, we can say that only the component of the magnetic field perpendicular to the band is effective. This can be calculated using the sine of the angle. Hence, magnetic flux (Φ) would be equal to B * area of loop * sin(angle), where B is the magnetic field, and area is πr² (r=diameter/2 in the loop).

So, keep these points into consideration, calculate ΔΦ/Δt, and put it in the Faraday's law to find the magnitude of the average induced emf.

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