A Square Loop of Wire falling through a Magnetic Field

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Homework Help Overview

The problem involves a vertical square loop of copper wire falling through a magnetic field, transitioning from a region of magnetic field strength to one of zero field. The discussion centers around calculating the induced current in the loop, the magnetic force acting on it, and the steady velocity of fall when the loop is partially in the magnetic field.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of induced current and its direction, exploring the relationship between magnetic flux and EMF. Questions arise regarding the sense of the current and the application of the right-hand and left-hand rules to determine direction.

Discussion Status

Participants are actively engaging with the problem, providing calculations and questioning the assumptions behind their reasoning. Some guidance has been offered regarding the use of Lenz's Law and the implications of the direction of current in relation to the magnetic field. Multiple interpretations of the current's direction are being explored without explicit consensus.

Contextual Notes

Participants are navigating the complexities of magnetic fields and induced EMF, with some uncertainty regarding the definitions and application of rules for determining current direction. The discussion reflects a mix of theoretical understanding and practical application of concepts in electromagnetism.

  • #31
A good link, Thanks :smile:

so for the velocity:

1.67v = mg

v = \frac{mg}{1.67}

m = vol*\rho

v = \frac{vol \rho g}{1.67}

the volume is:

4*(length of side*area) = 4(0.1*\pi * 0.0005^2) = \pi * 10^{-6}

v = \frac{\pi * 10^{-6} (8960) (9.8)}{1.67}

this gives v to be: 0.165 m/s

Seems rather small?
 
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  • #32
Your answer is correct. 1.2 Tesla is a HUGE B field and the mass of the wire is very small.
 
  • #33
1.2 T is a large field, so I suppose the speed would be slow.

Thanks for all your assistance, chrisk, most appreciated :smile:

Thanks

TFM
 

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