Magnetic Force of Wires: Solve Homework Equation

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Homework Help Overview

The problem involves calculating the magnetic force per unit length on a wire within a bundle of insulated wires arranged in a cylindrical formation. The context includes the magnetic field generated by the wires and the specific parameters of the setup, such as the radius and current carried by each wire.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the appropriate model for the magnetic field, with some suggesting that the setup resembles a solenoid while others argue it should be treated as straight wires. There is also mention of using the formula for force per unit length involving the magnetic field.

Discussion Status

The discussion is exploring different interpretations of the problem setup, with participants questioning the assumptions about the configuration of the wires. Some guidance has been offered regarding the use of specific formulas, but there is no clear consensus on the correct approach yet.

Contextual Notes

Participants note a misunderstanding regarding the shape of the wire arrangement, clarifying that it is a cylindrical bundle of parallel wires rather than a solenoid. This distinction may affect the calculations and assumptions made in the discussion.

stryker123
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Homework Statement


A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R=.5cm

a. if each wire carries 2A, what are the magnitude and direction of the magnetic force per unit length acting on a wire located .2cm from the center of the bundle?



Homework Equations



B = μoI / 2(pi)r
?

The Attempt at a Solution


I found B to be .008T. but now I don't know what to do.
 
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a packed bundle of wires that form a cylinder is a solenoid - thus you will ahve to find the magnetic field of a solenoid, and not that of a straight line ,as you have found
 
stunner5000pt said:
a packed bundle of wires that form a cylinder is a solenoid - thus you will ahve to find the magnetic field of a solenoid, and not that of a straight line ,as you have found
No. It is a straight wire.
 
Just use F/L=IXB.
 
Meir Achuz said:
No. It is a straight wire.

my mistake
i thought the wires curved to form a cylinder but instead we have a cylindrical bundle of parallel wires
 

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