Magnetic field and wire current

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Homework Help Overview

The problem involves a long, straight wire suspended in a uniform magnetic field, where a current flowing through the wire experiences a magnetic force causing it to deflect at an angle. The objective is to determine the strength of the magnetic field based on the given parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to find the radius 'r' needed to apply a specific equation for the magnetic field. Some participants question the relevance of the equation initially cited and suggest considering the force on a current-carrying wire in a magnetic field.

Discussion Status

Participants are engaging in clarifying the appropriate equations to use for the problem. Guidance has been offered regarding the use of the force equation for a current-carrying wire, and the suggestion to draw a free body diagram has been made to help balance the forces involved.

Contextual Notes

The original poster has noted the given parameters but is struggling with the missing information regarding the radius 'r', which is necessary for their calculations.

dmsgo89
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Homework Statement


A long, straight wire with linear mass density of 45g/m is suspended by threads, as shown in the figure . There is a uniform magnetic field pointing vertically downward. A 7.0A current in the wire experiences a horizontal magnetic force that deflects it to an equilibrium angle of 10 degree. What is the strength of the magnetic field B?



Homework Equations



B=(U_o I) / (2 *3.14 * r)


The Attempt at a Solution



I have U_0 given, I given. but can't find r.

How can find r to get B?
 

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The equation that you have quoted gives the magnetic field produced by a very long wire. It is not relevant here. What equation do you know that gives the force on a current-carrying wire segment in a magnetic field?
 
F=ILB maybe?
 
That's the right equation.
The next step is to draw a free body diagram and balance the forces.
 

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