Calculating Tension in Horizontal Wire due to Magnetic Field

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SUMMARY

The discussion focuses on calculating the tension in vertical wires supporting a horizontal wire (CD) carrying a current of 8.0 A in a magnetic field of 60 mT. The force on the horizontal wire is determined using the formula F = ILB, where I is the current, L is the length of the wire (0.4 m), and B is the magnetic field strength. The tension in the vertical wires is derived from the balance of forces acting on the horizontal wire, equating the magnetic force to the weight of the wire (mass = 50 g). The solution emphasizes the need to consider all forces acting on the horizontal wire to accurately calculate the tension.

PREREQUISITES
  • Understanding of the formula F = ILB for magnetic force calculation
  • Basic knowledge of gravitational force (weight = mass x gravity)
  • Familiarity with the concepts of tension in physics
  • Ability to analyze forces in equilibrium scenarios
NEXT STEPS
  • Study the principles of electromagnetism, focusing on magnetic forces on current-carrying conductors
  • Learn about tension and equilibrium in physics, particularly in systems involving multiple forces
  • Explore the relationship between magnetic fields and electric currents in more complex scenarios
  • Investigate real-world applications of magnetic forces in engineering and technology
USEFUL FOR

Students studying physics, particularly those focusing on electricity and magnetism, as well as educators looking for practical examples of force calculations in horizontal and vertical wire systems.

Smiles302
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Homework Statement


A wire CD (mass = 50 g, length = 40 cm) is suspended horizontally by two vertical wires (both at 90 degrees /hanging straight down) which conduct a current I = 8.0 A. The magnetic field in the region is into the paper and has a magnitude 60 mT. Calculate the force on the horizonatal wire only, and hence determine the tension in each vertical wire.

Homework Equations



I have the force on the electric field as F = ILB. But I can't find anything in the book or notes relating the force on the wire to it's weight?

The Attempt at a Solution



Tension = mass x gravity ?

:cry: Electricity and Magnetism just doesn't click with me like the rest of physics does...
 
Physics news on Phys.org
The wire tension is equal to the sum of all forces on the wires distributed among the wires. Positive tension being in the direction that would stretch the wire. Find all forces acting on the horizontal wire and the directions of those forces and add them up.
 

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