### Induced Electromotive Force and Magnetic Fields#### Question:A coil is placed in a region where there is a constant magnetic field and the normal to the plane of the coil remains parallel with the direction of the magnetic field. Which one of the following options causes the magnitude of the induced Emf in the coil to be as large as possible?#### Options:1. The area of the coil is being reduced slowly.2. The area of the coil does not change.3. The area of the coil is being increased rapidly.4. The area of the coil is being increased slowly.To understand this problem, it’s important to consider Faraday's Law of Electromagnetic Induction, which states that the induced Emf in a coil is proportional to the rate of change of magnetic flux through the coil. The magnetic flux is defined as the product of the magnetic field (B) and the area (A) of the coil perpendicular to the field.\[ \text{Emf} = - \frac{d\Phi}{dt} \]\[ \Phi = B \times A \]Thus, the induced Emf will be maximized if the rate of change in the area of the coil (dA/dt) is as large as possible.Given this information, the correct option is:3. The area of the coil is being increased rapidly. Increasing the area of the coil quickly results in a larger rate of change of the magnetic flux, thus leading to a higher induced Emf.

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A coil is placed in a region where there is a constant magnetic field and the normal to the plane of the coil remains parallel with the direction of the magnetic field. Which one of the following options causes the magnitude of the induced Emf in the coil to be as large as possible? The area of the coil is being reduced slowly The area of the coil does not change The area of the coil is being increased rapidly The area of the coil is being increased slowly.

A coil is placed in a region where there is a constant magnetic field and the normal to the plane of the coil remains parallel with the direction of the magnetic field. Which one of the following options causes the magnitude of the induced Emf in the coil to be as large as possible? The area of the coil is being reduced slowly The area of the coil does not change The area of the coil is being increased rapidly The area of the coil is being increased slowly.

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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