Biot-Savart and a Rectangular Loop

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Homework Help Overview

The discussion revolves around a problem involving the Biot-Savart Law and the magnetic force between a current-carrying wire and a rectangular loop. The original poster is tasked with finding the magnetic force exerted by a vertical wire on a segment of a horizontal wire in the loop.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to start the problem, indicating a lack of experience with similar scenarios. Some participants suggest using the differential force equation and considering Ampere's law instead of the Biot-Savart Law.

Discussion Status

The discussion is ongoing, with participants providing guidance on potential approaches. There is an indication that one participant has attempted a solution and is seeking validation, while another participant acknowledges the correctness of the approach but has not confirmed details.

Contextual Notes

The original poster mentions having only worked on basic problems, which may imply a need for foundational understanding in this context. There is also a suggestion to disregard the Biot-Savart Law in favor of another method, indicating a potential assumption about the appropriateness of different approaches.

mathguy831
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Homework Statement



Consider the figure on the right. Wire 1 is oriented along the y-axis and carries a current I1. A rectangular loop located to the right of the wire in the xy-plane carries a current I2. Find the magnetic force exerted by wire 1 on the top wire of length b in the loop labeled, "Wire 2" in the figure.

2. Homework Equations


Biot-Savart Law

The Attempt at a Solution



I'm not sure where to begin. I've never worked with a problem like this before, only the basic problems.[/B]
 

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Remember dF = i dl x B ?
i = current
dl =differential length expressed as a vector.
For B try ampere's law. Forget Biot-Savart.
 
Okay, I tried this. Does it look right?
 

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mathguy831 said:
Okay, I tried this. Does it look right?
It's too late tonite for me to check it in detail but your approach is spot-on.
 

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