Force per unit length on the wire in the bottom left hand corner.

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SUMMARY

The discussion focuses on calculating the force per unit length on a wire located at the bottom left corner of a square configuration of four identical currents, each measuring 13 A. The side length of the square is 64 cm. Using the formula F = (μ₀ * i₁ * i₂) / (2 * π * d), the user attempts to compute the force but arrives at an incorrect result. The correct approach involves accurately determining the distance between the currents and applying the right components for both x and y directions.

PREREQUISITES
  • Understanding of Ampère's Law and magnetic forces between parallel currents
  • Familiarity with the formula for calculating force between current-carrying wires
  • Basic knowledge of vector components in physics
  • Ability to manipulate units and convert measurements (e.g., cm to m)
NEXT STEPS
  • Review the derivation of the force between parallel currents using Ampère's Law
  • Study the concept of magnetic fields generated by current-carrying wires
  • Learn how to resolve forces into components in two-dimensional systems
  • Practice similar problems involving multiple currents and their interactions
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone preparing for exams involving magnetic forces and current interactions.

missyc8
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1. Homework Statement [/b]
Suppose in the figure that the four identical currents i = 13 A, into or out of the page as shown, form a square of side 64 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner? (N/m) Take the positive y direction as up and the positive x direction as to the right.
What is the magnitude of the force per unit length?

(diagram is in following post)

What is the x component of the force per unit length?

What is the y component of the force per unit length?


Homework Equations



F= muo*i1*i2/2*pi*d

The Attempt at a Solution


F= 1.26E-6 * 7A * 7A/ 2*pi* sqrt(2*.64m) = 1.095E-4

i do not know if i am doing this right at all...but this answer is wrong for the the first part..
 
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here is the pic...oops
 

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