Finding the magnitude of the force and direction.

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SUMMARY

The discussion focuses on calculating the magnitude and direction of the force exerted by a magnetic field on a current-carrying wire. The wire carries a current of 6.50A and passes through a magnetic field of 0.280T. The initial calculation of the force using the formula F=IlB resulted in 1.456N, but was incorrect due to an inaccurate length measurement and the need to consider the angles of the wire segments. The correct approach involves decomposing the wire's segments and calculating the force vectors accordingly.

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  • Understanding of the Lorentz force law (F=IlB)
  • Knowledge of vector decomposition in physics
  • Familiarity with magnetic fields and their properties
  • Ability to apply trigonometric principles to find lengths and angles
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  • Review vector addition and decomposition in physics
  • Study the effects of angles on force calculations in magnetic fields
  • Learn about the right-hand rule for determining force direction
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jimmyboykun
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Homework Statement



A long wire carrying 6.50A of current makes two bends. The bent part of the wire passes through a uniform 0.280T magnetic field directed as shown in the figure and confined to a limited region of space.
Part A: Find the magnitude of the force that the magnetic field exerts on the wire.
Part B: Find the direction of the force that the magnetic field exerts on the wire.

here is the link for the figure. http://s16.postimg.org/li2tzpa4l/yg_20_92.jpg

Homework Equations



F=IlB


The Attempt at a Solution



I= 6.50A, B= 0.280T, and l=0.8m(I did the Pythagorean theorem to find the lenght)

F=(6.50A)(0.8m)(0.280T)

F= 1.456N.

I found the force, but I got the answer wrong. Can someone explain where did I go wrong? I'm confuse with this problem.
 
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jimmyboykun said:

Homework Statement



A long wire carrying 6.50A of current makes two bends. The bent part of the wire passes through a uniform 0.280T magnetic field directed as shown in the figure and confined to a limited region of space.
Part A: Find the magnitude of the force that the magnetic field exerts on the wire.
Part B: Find the direction of the force that the magnetic field exerts on the wire.

here is the link for the figure. http://s16.postimg.org/li2tzpa4l/yg_20_92.jpg

Homework Equations



F=IlB

The Attempt at a Solution



I= 6.50A, B= 0.280T, and l=0.8m(I did the Pythagorean theorem to find the lenght)

F=(6.50A)(0.8m)(0.280T)

F= 1.456N.

I found the force, but I got the answer wrong. Can someone explain where did I go wrong? I'm confuse with this problem.
The length you have is wrong.

80 cm of wire is at a 30° angle to the "horizontal", but there is also some length that is "horizontal" .

Furthermore, the force vectors from those two (or three) segments are not in the same direction.

attachment.php?attachmentid=66805&stc=1&d=1392870965.jpg
 

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ok so I think I figured out how to approach this problem. Thanks
 

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