For each of the following situations, determine if there is an induced current in the loop, and if so, find the direction of the induced current. Defend your answers. ### Electromagnetic Induction: Moving Loop in a Magnetic Field#### Concept Overview:**Title: A loop is pulled out of a region in which the magnetic field is uniform and points out of the page. The magnetic field is perpendicular to the plane of the loop.**#### Diagram Explanation:- **Magnetic Field Representation**: - The blue dots in the diagram signify a uniform magnetic field. Each dot represents the direction of the magnetic field, which is perpendicular to the plane of the loop and points out of the page/screen. - The notation \( \mathbf{B} \) alongside the magnetic field symbols indicates that this is the magnetic field vector.- **Loop Movement**: - The black rectangle represents a wire loop. - The green arrow illustrates the direction in which the loop is being pulled, which is towards the right side, out of the region containing the magnetic field.#### Fundamental Concepts:When a conductive loop, such as the one depicted in the image, is moved out of a magnetic field:1. **Induced Electromotive Force (EMF)**: According to Faraday's Law of Electromagnetic Induction, a change in the magnetic flux through the loop induces an EMF (voltage) in the loop. In this scenario, as the loop moves out of the magnetic field region, the magnetic flux linked with the loop decreases.2. **Lenz's Law**: This law states that the direction of the induced EMF and the resulting current is such that it opposes the change in magnetic flux that produced it. The current induced in the loop would create its own magnetic field opposing the decrease of the external magnetic field.#### Key Takeaways:- The interaction between a moving conductive loop and a magnetic field results in the generation of electrical currents, which is the principle behind several electromagnetic devices and applications.- Understanding the directionality and behavior of the induced current is crucial for mastering concepts related to electromagnetic induction.Use this concept to explore practical applications such as electric generators, transformers, and induction cooktops, all of which utilize the principles of electromagnetic induction in their operation. **Interaction Between a Loop of Wire and an Infinitely-Long Current-Carrying Wire****Description:**A loop of wire is placed near an infinitely-long wire carrying a steady current \(I\) that flows in the upward direction. The current-carrying wire is situated in the plane of the loop. The loop of wire is then pulled away to the right from the current-carrying wire.**Diagram Explanation:**- The diagram shows a vertical line representing the infinitely-long wire with a steady current \(I\).- The direction of the current \(I\) is indicated by an upward arrow on the vertical wire.- To the right of this wire, there is a circular loop of wire placed in the same plane as the current-carrying wire.- The loop is shown with an arrow pointing to the right, indicating the direction in which the loop is being pulled away from the current-carrying wire.**Key Points for Educational Website:**1. **Current Flow:** - The diagram highlights the current \(I\) flowing in an upward direction through an infinitely-long wire.2. **Magnetic Interaction:** - The current in the infinitely-long wire generates a magnetic field around it, which will interact with the loop of wire placed nearby.3. **Motion of the Loop:** - The loop is pulled to the right, away from the current-carrying wire, which will affect the magnetic flux through the loop.4. **Induced Effects:** - According to Faraday's Law of Electromagnetic Induction, pulling the loop away changes the magnetic flux through the loop, which can induce an electromotive force (EMF) and a corresponding current in the loop of wire. The direction of the induced current will depend on the orientation of the loop and the direction of the change in magnetic flux.This setup can be used to demonstrate the principles of magnetic fields, electromagnetic induction, and the interaction between current-carrying wires and loops of wire in an educational context.

Answered: Image /qna-images/answer/8818edc6-5b92-452a-a9c8-f979eddde7e8.jpg

Answered: A loop is pulled out of a region in…

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)...