How Is Torque Calculated on a Rectangular Coil in a Magnetic Field?

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SUMMARY

The torque acting on a rectangular coil in a magnetic field can be calculated using the formula τ = N * B * I * A * sin(θ), where N is the number of turns, B is the magnetic field strength, I is the current, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the coil. In this case, with 25 turns, a magnetic field of 0.8T, a current of 12A, and an angle of 30 degrees, the area A can be calculated as 0.04m * 0.04m = 0.0016m². The torque can then be computed as τ = 25 * 0.8 * 12 * 0.0016 * sin(30°).

PREREQUISITES
  • Understanding of torque and its calculation in physics.
  • Familiarity with magnetic fields and their properties.
  • Knowledge of the relationship between current, magnetic fields, and force on a wire.
  • Basic trigonometry, specifically the sine function.
NEXT STEPS
  • Study the derivation of the torque formula τ = N * B * I * A * sin(θ).
  • Learn about the principles of electromagnetism, particularly the Lorentz force law.
  • Explore the applications of torque in electric motors and generators.
  • Investigate the effects of varying angles on torque in different magnetic field configurations.
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Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of torque in magnetic fields.

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Homework Statement


A rectangular coil consists of 25 turns of wire forming a square 4cm each side. By considering the force on a current-carrying straight wire, calculate the torque acting on the coil when the normal is at 30 degrees to a magnetic field of 0.8T and 12 A are flowing.


Homework Equations



t = ucrossB

F = IlcrossB

The Attempt at a Solution



Umm I am a bit stuck with this as I do now know why I am meant to be using the force acting on the current carrying wire. I thought I could just use the t = ucrossB formula in the form:

t = ubsintheta

where u = IA

However this clearly isn't correct so I am looking for some help! Thanks
 
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Torque τ = ΝΒΙΑsin(θ)
 

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