### Electromagnetic Induction: Determining the Induced Magnetic Field#### Problem Statement:The figure below shows a metal bar moving to the right along conducting rails in a uniform magnetic field (B-field) directed **out of the page**. Using Lenz's law, determine the direction of the induced magnetic field (B) in the closed loop defined by the bar and the rails.#### Explanation of the Diagram:- **B_out**: The uniform magnetic field directed out of the page is represented by the symbol for vector B with a circle and a dot in the middle.- **Metal Bar**: The figure includes a metal bar moving to the right, indicated by a red arrow labeled with velocity (v) pointing towards the right.- **Conducting Rails**: Two parallel horizontal conducting rails form a closed loop with the metal bar.- **External Circuit**: There is a resistor connected across the rails on the left side.#### Understanding Lenz's Law:Lenz's law states that the direction of the induced current (and hence the magnetic field) in a closed loop will be such that it opposes the change in magnetic flux that caused it.1. **Magnetic Flux Change**: As the metal bar moves to the right, it cuts across the magnetic field lines directed out of the page. This motion changes the magnetic flux through the loop.2. **Induced Current**: According to Lenz's law, the induced current will flow in a direction that opposes this change in flux.3. **Direction of Induced Magnetic Field**: The purpose of the induced magnetic field is to oppose the increase in flux due to the bar's motion.Given the resistor’s orientation, the induced current will create a magnetic field that opposes the direction of the increasing external magnetic field (which is out of the page). Therefore, the induced magnetic field within the loop will be **into the page**.#### Answer Options:1. To the left2. To the right3. Out of the page4. Into the page (**selected**)In conclusion, the induced magnetic field in the closed loop defined by the bar and the rails, according to Lenz's law, is directed **into the page**.

Answered: Image /qna-images/answer/23f19ec6-2206-40ad-b369-8d47f739f5d8.jpg

The figure below shows a metal bar moving to the right along conducting rails in uniform B- field directed out of the page. Using Lenz's law, determine the direction of the induced magnetic field B in the closed loop defined by the bar and the rails B out to the left to the right out of the page () into the page (x)

The figure below shows a metal bar moving to the right along conducting rails in uniform B- field directed out of the page. Using Lenz's law, determine the direction of the induced magnetic field B in the closed loop defined by the bar and the rails B out to the left to the right out of the page () into the page (x)

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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