Electromagnetic induction question

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Homework Help Overview

The problem involves electromagnetic induction, specifically focusing on a square loop of wire subjected to a changing magnetic field due to the loop being crushed. The original poster seeks to determine the total charge flowing through the loop given specific parameters such as magnetic field strength, loop dimensions, and resistance.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster discusses the relationship between the change in area of the loop and its effect on magnetic flux, suggesting a connection to induced emf. They express uncertainty about which equations to use, mentioning Lenz's Law and Faraday's law.

Discussion Status

Participants are engaging in exploratory dialogue, with some providing welcome and encouragement. There is a recognition of the relevance of Faraday's law to the situation, but no consensus or resolution has been reached regarding the specific calculations or methods to apply.

Contextual Notes

The original poster is under a time constraint, as the homework is due soon, and they are seeking assistance to clarify their understanding of the concepts involved.

fishmonger
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Please help! :confused:
I'm stuck on this homework question and it's due tomorrow.
Any help would be greatly appreciated...

Question:
A magnetic field of strength 2.3 T is directed into the plane of a square loop of wire with each side of length 0.4 m. The loop of wire is then crushed together in .48 seconds so that the loop no longer encloses any area. Find the total amount of charge flowing through the loop if the wire has a resistance of 0.2 .

Thank you in advance
 
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Hi there fishmonger and welcome to PF,

What are your thoughts thus far on this conundrum?
 
Here are my thoughts thus far:

The change in the area within the loop (because of the crushing) should affect the magnetic flux, and the change in flux is what creates the emf...is as far a connection as I've been able to make.
I can't seem to figure out what equation to proceed with in order to actually calculate anything. Lenz's Law, or something completely different...?
 
And thanks for the welcome! :) I wish I'd discovered this forum earlier in the year.
 
fishmonger said:
The change in the area within the loop (because of the crushing) should affect the magnetic flux, and the change in flux is what creates the emf...is as far a connection as I've been able to make.
I can't seem to figure out what equation to proceed with in order to actually calculate anything. Lenz's Law, or something completely different...?
You are quite correct. What you have just (almost) described is Faraday's law. Do you know what Faraday's law is?
 

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