A Square Loop of Wire falling through a Magnetic Field

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A vertical square loop of copper wire is analyzed as it falls through a magnetic field, with calculations for induced current, magnetic force, and steady fall velocity. The induced EMF is derived from the changing magnetic flux, leading to a current that varies with the velocity of fall. The direction of the current is determined using Lenz's Law and the right-hand rule, indicating a clockwise flow. The magnetic force acting on the loop is calculated, and the steady velocity at which the forces balance is derived, resulting in a surprisingly low value due to the small mass of the wire and the strong magnetic field. Overall, the discussion emphasizes the relationship between motion, electromagnetic induction, and forces acting on the loop.
  • #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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