Magnetic Field in a Semi-Infinite Wire

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Homework Help Overview

The discussion revolves around calculating the magnetic field produced by a semi-infinite wire. Participants are attempting to apply the relevant equation, B = μi / 4πR, but are uncertain about how to determine the appropriate value for R in different scenarios presented in the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion about the application of the formula, particularly regarding the variable R and how it changes based on the specific situations described in the problem. There are questions about the clarity of the problem statement and the locations where the magnetic field is to be evaluated.

Discussion Status

Some participants have provided guidance on understanding the conditions under which the formula applies, emphasizing the importance of the geometry of the problem. There is an ongoing exploration of how to interpret the problem's requirements and the implications of the assumptions made.

Contextual Notes

There is a noted ambiguity regarding the locations of the points where the magnetic field is to be calculated, as well as the specific conditions under which the formula for the semi-infinite wire is valid. Participants are also considering the relevance of currents within certain radii in relation to the magnetic field calculations.

Adeel Ahmad
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Homework Statement


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Homework Equations


B = μi / 4πR is the equation for a semi-infinite straight wire

The Attempt at a Solution


I know that for each situation in a,b, and c I would use the equation I listed above, but I am not sure what I would plug in for R for each situation.
 
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Can someone help out please
 
Thanks, but I know which equations to use, I just don't know how to apply them. I don't know what to plug in for r in each situation.
 
The problem is not clear concerning the location of the points where you are to find B. For a fixed value of r, the field will vary as you move parallel to the axis of the cylinder. I guess you are to assume that you are looking for B only at points in a plane that is perpendicular to the axis and located at the end of the cylinder.

Likewise, the formula you gave for a semi-infinite wire is only valid for points in a plane oriented perpendicular to the wire and located at the end of the wire.

To work this problem you need to understand how to obtain the formula you gave for the semi-infinite wire. The same reasoning can be used to help solve the cylinder problem.
 
Adeel Ahmad said:
Thanks, but I know which equations to use, I just don't know how to apply them. I don't know what to plug in for r in each situation.
The text at that link does answer your question. In brief, it is only the currents inside the selected radius r that matter. For r<b, what is the current inside?
 

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