Understanding Forces on a Wire in a Magnetic Field for Beginners

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SUMMARY

The discussion focuses on calculating the forces acting on a wire of length 70 cm carrying a current of 5 amps in a magnetic field of strength 0.001 T. The relevant formula is F = BILsin(θ), where θ is the angle between the wire and the magnetic field. The angles provided (90°, 55°, 35°, and 0°) represent the orientations of the wire relative to the magnetic field. The maximum force occurs at 90°, while the force is zero when the wire is parallel to the field.

PREREQUISITES
  • Understanding of the formula F = BILsin(θ)
  • Basic knowledge of magnetic fields and forces
  • Familiarity with trigonometric functions, specifically sine
  • Ability to interpret graphs and coordinate systems
NEXT STEPS
  • Learn how to graph force versus angle using trigonometric functions
  • Study the relationship between magnetic fields and electric currents
  • Explore the concept of torque in magnetic fields
  • Investigate applications of the Lorentz force in real-world scenarios
USEFUL FOR

Students studying physics, educators teaching electromagnetism, and anyone interested in understanding the interaction between magnetic fields and electric currents.

lightuplightup
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I don't understand this question at all- could someone please help- at least giving me a starting point- thanks

A wire, of length 70cm is placed into a magnetic field of strength 0.001T. If the wire carries a current of 5 amps
1/ Calculate the magnitude of the forces on the wire if it is successively oriented at 900, 550, 350 and parallel to the magnetic field
2/ Draw a graph showing the variation of the force as the angle changes
3/ What will be the shape of the graph if the force is plotted against sin0
4/ Draw a graph of force against sin0

I know for the first one you have to use F=BILsin0 but i don't understand the co-ordinates- what angle am i supposed to use- What does 900, 550 and 350 mean? I think if i get this first bit understood then i will be able to complete the other parts.

Thanks
 
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lightuplightup said:
I don't understand this question at all- could someone please help- at least giving me a starting point- thanks

A wire, of length 70cm is placed into a magnetic field of strength 0.001T. If the wire carries a current of 5 amps
1/ Calculate the magnitude of the forces on the wire if it is successively oriented at 900, 550, 350 and parallel to the magnetic field
2/ Draw a graph showing the variation of the force as the angle changes
3/ What will be the shape of the graph if the force is plotted against sin0
4/ Draw a graph of force against sin0

I know for the first one you have to use F=BILsin0 but i don't understand the co-ordinates- what angle am i supposed to use- What does 900, 550 and 350 mean? I think if i get this first bit understood then i will be able to complete the other parts.

Thanks

Look, you know that the magnitude of force is maximum and minimum when the angle between the field and current carrying wire is perpendicular and parallel respectively.(when BIL is constant).
So simply put in the values you are given into your formula and there we are.
I'm sure they are meant to be in degrees, and the angle theta is between the magnetic field and wire.
 
In the formula:

[tex]F=BIL\sin \theta[/tex]

the angle is the smallest angle between the magnetic field vectors (or field lines) and the wire carrying the current.
 

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