Calculating Tension in Horizontal Wire due to Magnetic Field

AI Thread Summary
To calculate the tension in the vertical wires supporting a horizontal wire in a magnetic field, the force on the wire can be determined using the formula F = ILB, where I is the current, L is the length of the wire, and B is the magnetic field strength. The weight of the wire, calculated as mass times gravity, must be considered alongside the magnetic force to find the total tension. The tension in the vertical wires is the sum of the forces acting on the horizontal wire, which includes both the magnetic force and the weight of the wire. Understanding the direction of these forces is crucial for accurate calculations. The discussion emphasizes the relationship between magnetic forces and gravitational forces in determining wire tension.
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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...
 
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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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