Net magnetic force in unit-vector notation

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SUMMARY

The net magnetic force on the bent wire in a uniform magnetic field of 4.0 T is calculated using the formula FB = iLBsin(φ). With a current (i) of 2.0 A, a length (L) of 2.0 m, and an angle (θ) of 65°, the magnitude of the force is determined to be 29 N. The direction of the magnetic force can be established using the right-hand rule, confirming the orientation of the force in relation to the current and magnetic field.

PREREQUISITES
  • Understanding of magnetic force equations, specifically FB = iLBsin(φ)
  • Familiarity with vector notation in physics
  • Knowledge of the right-hand rule for determining force direction
  • Basic concepts of magnetic fields, particularly in relation to current-carrying wires
NEXT STEPS
  • Study the application of the right-hand rule in various magnetic field scenarios
  • Explore the effects of varying angles on magnetic force calculations
  • Learn about the implications of magnetic field strength on force magnitude
  • Investigate the behavior of magnetic forces in different geometrical configurations of wires
USEFUL FOR

Physics students, educators, and anyone interested in electromagnetism and the behavior of current-carrying conductors in magnetic fields.

Mike88
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Homework Statement


The bent wire shown in the figure below lies in a uniform magnetic field. Each straight section is 2.0 m long and makes an angle of θ = 65° with the x axis, and the wire carries a current of 2.0 A.
28-39.gif


(a) What is the net magnetic force on the wire in unit-vector notation if the magnetic field is 4.0k^T?
magnitude [answer] N , direction [ ]

Homework Equations


FB = iLBsin(phi)

The Attempt at a Solution


given i = 2A, L = 2m, B=4kT sin(θ) = 65° i got 2*2*4*sin(65) = 14.5 * 2 for other wire = 29N
 
Last edited:
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Mike88 said:

Homework Equations


FB = iLBsin(phi)
This gives you the magnitude of the force on the wire segment. Note that phi is the angle between iL and B. What direction is the B field?

What's the direction of the magnetic force on the wire segment? (Use the right hand rule.)
 

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