Force on conductor in magnetic field

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SUMMARY

The discussion focuses on the calculation of force on a conductor within a magnetic field, specifically using the formula F = ILB, where I is the current, L is the length of the conductor, and B is the magnetic field strength. Participants clarify that the impulse given to the conductor can be calculated without integrals, assuming constant force, leading to the equation J = F Δt. The relationship between charge, current, and velocity is also explored, culminating in the equation v = QLB/m, where Q is charge and m is mass.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically Lorentz force.
  • Familiarity with the concepts of current (I) and magnetic fields (B).
  • Knowledge of basic calculus, particularly integrals and impulse.
  • Ability to manipulate equations involving charge (Q) and mass (m).
NEXT STEPS
  • Study the derivation of the Lorentz force law in electromagnetic theory.
  • Learn about the relationship between current, charge, and velocity in electrical circuits.
  • Explore applications of impulse and momentum in electromagnetic contexts.
  • Investigate the effects of varying magnetic fields on conductors carrying current.
USEFUL FOR

Students in physics, electrical engineers, and anyone studying electromagnetic theory or working with circuits in magnetic fields will benefit from this discussion.

Suyash Singh
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Homework Statement


upload_2018-4-14_20-34-17.png


Homework Equations


Emf=B l V V is (velocity)
F=QVB

The Attempt at a Solution


Emf=BLV
Work=QBLV
Force=BLV
how come V=Q/m. its not possible or is it?
 

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This is not a Faraday's law question. You need to calculate the impulse F dt given to the conductor and set it equal to its momentum change.
 
kuruman said:
This is not a Faraday's law question. You need to calculate the impulse F dt given to the conductor and set it equal to its momentum change.
mv=integral(fdt)

but why is force in my book given as b l i (i is current)
 
kuruman said:
This is not a Faraday's law question. You need to calculate the impulse F dt given to the conductor and set it equal to its momentum change.
and the force i was giving before is it the force on each charged particle?
 
Suyash Singh said:
but why is force in my book given as b l i (i is current)
Because a segment of wire of length ##\vec L## carrying current ##I## in a magnetic field ##\vec B## experiences a force ##\vec F=I\vec L \times \vec B##.
You don't need an integral for the impulse. Assume that the force is constant while it lasts in which case the impulse is J = F Δt.
 
kuruman said:
Because a segment of wire of length ##\vec L## carrying current ##I## in a magnetic field ##\vec B## experiences a force ##\vec F=I\vec L \times \vec B##.
You don't need an integral for the impulse. Assume that the force is constant while it lasts in which case the impulse is J = F Δt.
ohhhh ok. i already knew that formula it was written differently so i couldn't recognise it.
thankyou.
mv = ILBsin(90 degree) Δt (force x time change)
=ILBΔt

now since Ixt=Q
v=QLB/m :)
 
That's it.
 
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