Parallel Wires: Force per Unit Length Calculation

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    Parallel Wires
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Homework Help Overview

The problem involves calculating the force per unit length between two parallel wires carrying currents. The wires are separated by a distance of 6.8 cm and each carries a current of 23.8 A. The permeability of free space is provided as part of the context.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply a formula for calculating the force per unit length between the wires. Some participants question the correctness of the equation used, suggesting a need for clarification on the terms involved.

Discussion Status

Participants are actively discussing the formula used in the calculation, with one participant pointing out a potential error regarding the current term in the equation. There is an indication of productive engagement as participants seek to clarify the mathematical approach.

Contextual Notes

There is a specific focus on the equation used for the calculation, with an emphasis on the correct representation of the current in the formula. The discussion reflects an exploration of assumptions related to the setup of the problem.

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Homework Statement



Two parallel wires are 6.8 cm apart, and
each carries a current of 23.8 A.
The permeability of free space is 4pi ×
10−7 T · m/A.
If the currents are in the same direction,
find the force per unit length exerted by one
of the wires on the other.
Answer in units of N/m.

Homework Equations



F/L = (permeability)/(2*pi*d) * 2I


The Attempt at a Solution



F/L = (4*pi*10^-7 T*m/A)/(2*pi*0.068m) * 2(23.8 A)
= 0.00014 N/m
 
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Hi Kris1120,

Kris1120 said:

Homework Statement



Two parallel wires are 6.8 cm apart, and
each carries a current of 23.8 A.
The permeability of free space is 4pi ×
10−7 T · m/A.
If the currents are in the same direction,
find the force per unit length exerted by one
of the wires on the other.
Answer in units of N/m.

Homework Equations



F/L = (permeability)/(2*pi*d) * 2I

This equation is not correct. Do you see what it needs to be?
 
I^2 and not 2I!
 
Thanks!
 

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