Help with magnetic induction and finding induced current

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Homework Help Overview

The discussion revolves around a problem involving magnetic induction, specifically focusing on a loop of wire moving into a magnetic field and determining the direction of the induced current at various points. The context includes the application of Lenz's Law and the Right Hand Rule to analyze the situation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the Right Hand Rule to determine the direction of induced current and question the behavior of magnetic flux as the loop interacts with the magnetic field. There is a discussion about whether the magnetic flux is constant or changing at specific points, particularly at point D.

Discussion Status

The discussion is ongoing, with participants raising questions about the nature of magnetic flux and its implications for the induced current. Some guidance has been offered regarding the relationship between magnetic flux and the induced current, but no consensus has been reached on the specific behavior at point D.

Contextual Notes

Participants are considering the implications of a constant magnetic field and how it affects the magnetic flux through the loop as it moves. There is a focus on the areas where the magnetic field is nonzero and how that relates to the calculation of magnetic flux.

mick5000x
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Homework Statement


I have attached a picture that details the problem. This is my practice test and I have no clue what I am doing wrong. Essentially a loop of wire is moving in constant velocity into a magnetic field. The magnetic field lines are pointing into the page. The problem is asking which at which points is the loop's induced current flowing clockwise and counterclockwise. I do not need the answer for 14 and 15.
qAKMRWX.jpg

Homework Equations


Lenz Law
Right Hand Rule

The Attempt at a Solution


I attempted to use right hand rule, where my thumb points in the direction of the current. I figured out that if you point your thumb in the counterclockwise direction current of B, it will give you an upward magnetic field inside the loop, which is exactly what I wanted. However, I cannot figure out why D is moving in the clockwise position because if I try the right hand rule, it will point inside the loop, the same direction as the magnetic field.
 

Attachments

  • 127e79f0-0428-4d08-8344-9d98718fa51f.jpg
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Welcome to PF!

Is the magnetic flux through the loop increasing or decreasing at D?
 
Thanks for the welcome! Isn't the magnetic field constant throughout, meaning the magnetic flux is constant? Or does magnetic flux decreases along the X axis even though magnetic field is constant?
 
How would you determine the magnetic flux through the loop at the instant when the loop is at D?
 
From what I understand, magnetic flux is equal to B * A, where B is the magnetic field that is perpendicular to the surface, and A is the surface area. Does this mean the change in magnetic flux between the two halves of D causes magnetic flux to decrease?
 
When using Φ = BA at point D, the area A is the area inside the loop where B is nonzero. The region where B = 0 inside the loop does not contribute to the magnetic flux through the loop.
 

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