Biot Savart Law Homework Solutions

AI Thread Summary
The discussion focuses on applying the Biot-Savart Law to calculate the magnetic field generated by a straight wire carrying a 10.0-A current. Participants suggest integrating the magnetic field equation over the specified length of the wire segment to find the field at point A. It is emphasized that the vector form of the Biot-Savart Law should be used to accurately account for the geometry between the current element and observation points. The radius for calculations varies based on the distance from the wire to the observation points, rather than being a fixed value. Accurate application of these principles is crucial for solving the problem effectively.
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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