Problem on finding maximum torque on a simple loop

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Homework Help Overview

The discussion revolves around finding the maximum torque on a rectangular loop of wire in a magnetic field, with specific dimensions and current considerations. The problem involves optimizing the configuration of the wire to achieve maximum torque.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to optimize the area of the loop and consider different shapes, such as a circular configuration, to maximize torque. There are questions about the correctness of specific answers and the factors involved in the calculations.

Discussion Status

Some participants have provided potential approaches and calculations, while others are questioning the validity of those answers and exploring alternative configurations. There is an ongoing examination of the assumptions and methods used in the problem.

Contextual Notes

Participants note that the problem may involve constraints related to the total length of wire and the current carried, which could influence the optimization process.

patlai
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The plane of a rectangular loop of wire with a width of W and a height of L is parallel to a magnetic field of magnitude B. The loop carries a current of I .

What is the maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field?


*note i feel like I've tried everything and i can't seem to figure this problem out.
 
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i know you have to do something with optimizing the area

i got this answer:

B*I*((l+h)/2)^2

but the website system says my answer is off by a multiplicative factor.
 
I think you would maximize the area by bending the wire into a circular shape.
 
how did you get that answer patlai?
 

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