Magnetic field and conducting rails

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SUMMARY

The discussion centers on a physics problem involving a bar sliding over conducting rails connected to a DC generator with an EMF of 6V. The resistance of the bar is 0.08Ω, and the system operates in a magnetic field of 1T. Key calculations include determining the current flowing in the circuit, which is 75A, and the limiting speed of the bar, calculated as 30 m/s. The concept of 'limiting speed' refers to the constant speed at which the mass is raised, indicating a balance of forces in the system.

PREREQUISITES
  • Understanding of electromagnetic principles, specifically Lorentz force
  • Knowledge of Ohm's Law and circuit analysis
  • Familiarity with the concept of limiting speed in dynamics
  • Basic proficiency in solving equations involving EMF and resistance
NEXT STEPS
  • Learn about the Lorentz force and its applications in electromagnetic systems
  • Study Ohm's Law in the context of circuits with multiple components
  • Explore the concept of limiting speed in mechanical systems
  • Investigate the relationship between EMF, magnetic fields, and induced currents
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the dynamics of electromagnetic systems involving conducting rails and DC generators.

BOAS
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Hello,

i'm really struggling with this problem and don't understand some of the terminology.

Homework Statement



A bar of length 20cm and negligible mass can slide over two conducting rails connected to a dc generator producing an emf V0 = 6V, connected so as to produce a current as in the figure. The resistance of the bar is R = 0.08Ω, all other parts have negligible resistance. The bar is connected through a pully to a body of mass 1.2kg the system is immersed in a uniform magnetic field orthogonal to the rails, as in the figure, whose magnitude is 1T. The system is designed in such a way that, after a while, the body is pulled upward with a constant limiting speed.
Compute:

a) The current flowing in the circuit and the power provided by the dc generator when the limiting speed is reached.

b) The magnitude of the limiting speed.

c) The value of the resistance of the bar corresponding to which the body does not move at all.

Homework Equations





The Attempt at a Solution



I know that the deal here is that I must show some working, but I feel like I'm wandering around in the dark not knowing what the question means by 'limiting speed'.

Does 'limiting speed' mean the maximum speed at which the mass can be raised?

I have found that the magnetic force acting on the bar due to the current and magnetic field is F = BIL = 75(0.2) = 15N Where I = \frac{V}{R} = \frac{6}{0.08} = 75A

emf = VBL so v = \frac{emf}{BL} = 30ms^{-1}

If that's correct, then it should be the speed at which the bar would move if it wasn't connected to the mass.

I am very confused about how to proceed, and would really appreciate some guidance.

Thanks,

BOAS
 

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"Limiting speed" since the bar accelerates from zero but reaches a constant speed eventually.

Are there more than one source of emf here?

Compute the current i in the bar based on the force it has to exert. Then, compute the velocity such that the sum of potential drops around the loop = 0, or sum of emf's = iR.
.
 

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