Force on conductor in magnetic field

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Homework Help Overview

The discussion revolves around the forces acting on a conductor within a magnetic field, exploring the relationship between current, magnetic field strength, and the resulting force. The participants are examining the implications of various equations related to electromotive force (emf) and momentum change.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the equations for emf and force, questioning the relationship between velocity, charge, and mass. There is an exploration of whether the force described in textbooks aligns with the calculations being attempted. Some participants raise concerns about the applicability of Faraday's law in this context.

Discussion Status

Several participants are actively engaging with the problem, providing insights into the relationship between force, current, and magnetic fields. There is a recognition of different interpretations of the force acting on the conductor, and some guidance has been offered regarding the impulse-momentum relationship. However, there is no explicit consensus on the approach to take.

Contextual Notes

Participants are navigating potential misunderstandings related to the definitions and applications of the relevant equations, particularly in relation to the context of Faraday's law and the nature of the forces involved. There is mention of differing representations of formulas in textbooks, which may contribute to confusion.

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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