Magnetism: magnetic feild strength of a wire

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Homework Help Overview

The discussion revolves around calculating the magnetic field strength generated by a current-carrying wire, specifically focusing on points both inside and at the surface of the wire. The problem involves applying the Biot-Savart Law and understanding the distribution of current within the wire.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the Biot-Savart Law for both parts of the question but expresses confusion regarding the correct application of the formula and the values to use. Other participants clarify the specific distance from the wire's axis that is being asked for and question whether the Biot-Savart Law is applicable inside the wire.

Discussion Status

The discussion is ongoing, with participants providing clarifications about the problem's requirements and questioning the assumptions made regarding the application of the magnetic field equation. There is no explicit consensus yet, but the dialogue is focused on refining understanding of the problem setup.

Contextual Notes

Participants are addressing potential misunderstandings about the distances involved and the distribution of current within the wire, which may affect the calculations. There is also a mention of homework constraints that may limit the approach to the problem.

physicsStudent00

Homework Statement



A wire 1.0 mm in diameter carries 5.0 A distributed uniformly over its cross section.

a) Find the field strength 0.10 mm from its axis.

b) Find the field strength at the wire’s surface

Homework Equations

The Attempt at a Solution


I've used the Biot-Savart Law for a wire for both of the questions and had the wrong answer both times. Using the wire law: B=(μ_0)(I)/2πr
a) B=(μ_0)(5)/2π((1+0.1)*10^-3) = 9.091*10^-4
b) uses the same approach

i don't understand what numbers to be using or if I'm using the wrong equation's here?
any help is much appreciated
 
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a) asks for 0.1 mm from its axis, not from its surface
 
BvU said:
a) asks for 0.1 mm from its axis, not from its surface
by taking the radius as 0.1*10^-3 it gives 0.01T which still is wrong
 
How much current is within this ##10^{-4}## m radius ?

In other words: does your
physicsStudent00 said:
Using the wire law: B=(μ_0)(I)/2πr
apply inside the wire ?
 
Last edited:

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