Biot Savart Law Homework Solutions

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Homework Help Overview

The discussion revolves around applying the Biot-Savart Law to determine the magnetic field generated by a straight wire carrying a current. The specific scenario involves a rectangular configuration with points at varying distances from the wire segment.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss integrating the Biot-Savart Law to find the magnetic field and question the appropriateness of using certain equations based on the configuration of the wire and observation points. There is also a query regarding the radius used in calculations.

Discussion Status

Some participants have offered guidance on integrating the equations and considering the geometric relationships involved. There is an ongoing exploration of the varying distances from the wire to the observation points, indicating a productive dialogue without a clear consensus yet.

Contextual Notes

Participants are navigating the implications of the wire's finite length and the specific distances involved in the setup, which may affect the application of the Biot-Savart Law.

meaghan
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Homework Statement


A straight wire caries a 10.0−A current (the figure(Figure 1) ). ABCD is a rectangle with point D in the middle of a 1.10−mm segment of the wire and point Cin the wire. Find the magnitude and direction of the magnetic field due to this segment at the following points.

YF-28-09.jpg

Homework Equations


dB = μ*i/4*pi*r ds
B = μ*i*L/4*pi*r

The Attempt at a Solution


to find the magnetic field at A, would i integrate along ds to get to the second equation then plug in the necessary information?
 
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Integrate the first equation over the 1.1 mm length indicated. Use the vector form of the B-S Law to properly capture the geometrical relationship between the current element and the observation points. Your second equation is only valid for the field away from an infinitely long current--not your situation.
 
okay, so would i get that my radius = 5cm as well?
 
Well, r is distance (diagonal) from source to observation so it varies.
 

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