Calculating Magnetic Force on Bent Wire in a Magnetic Field

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SUMMARY

The discussion centers on calculating the magnetic force on a bent wire segment in a magnetic field. The wire has a length of 95 meters, a diameter of 2.4 mm, and a resistance of 1.59 Ohms, with a potential difference of 103 volts applied across it. The current calculated is 64.78 Amps, and the magnetic field strength is given as 1.4 T. The formula used for calculating the magnetic force is F = I * l * B * sin(Phi), where the challenge lies in determining the correct angle Phi for the bent section of the wire.

PREREQUISITES
  • Understanding of Ohm's Law and electrical resistance
  • Familiarity with magnetic force calculations in physics
  • Knowledge of trigonometric functions, particularly sine
  • Basic concepts of magnetic fields and their properties
NEXT STEPS
  • Review the derivation and application of the formula F = I * l * B * sin(Phi)
  • Study the relationship between current, voltage, and resistance using Ohm's Law
  • Learn how to calculate angles in physics problems, especially in relation to arcs
  • Explore the effects of magnetic fields on current-carrying conductors
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, electrical engineering students, and anyone preparing for exams involving magnetic force calculations.

blackbyron
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Homework Statement


A wire of length 95m and a diameter of 2.4mm has a total resistance 1.59Ohms. The potential difference between the ends of the wire is 103volts. A section of the wire 15.5cm in length is bent into an arc of 60deg. The magnetic field is parallel to the bisector of the arc and has a strength of B=1.4T . What is the magnitude of the magnetic force on the arc of wire?


Homework Equations


F = I*l*B*sin(Phi)


The Attempt at a Solution


parallel.jpg


I found the current by solving I = V/R which gives me 64.78 Amps.

Now the part I'm having trouble with is finding out the magnetic field that is parallel to the bisector of the arc. I don't think I understand this question The magnetic field is parallel to the bisector of the arc and has a strength of B=1.4T .

What are your suggestion on this one? And fyi, my teacher didn't lecture this topic yet, but the reason I want to do HW early is to have more time to study this so I can get good grade on the next test.
 
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bump I got the current, and the length. I'm still having trouble with finding the right B*sin(phi).
 

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