Magnetic Field between two plates

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SUMMARY

The discussion focuses on calculating the magnetic field (B field) between two equally-magnetized square plates, each with a side length of 0.23m and mass of 20g, suspended by 20.0 cm long threads. The distance between the plates is 0.123 cm. The first part of the problem involves determining the B field using the relationship between magnetic force and the angle of deflection. The second part requires calculating the magnetic field energy stored between the plates, utilizing the formula for magnetic energy density.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with the concepts of tension and equilibrium in physics
  • Knowledge of energy density in magnetic fields
  • Ability to apply trigonometric functions to solve for angles
NEXT STEPS
  • Calculate the magnetic field strength using the formula B = F / (I * L) where F is the magnetic force.
  • Learn how to derive the magnetic field energy using the formula U = (1/2) * B^2 / μ0, where μ0 is the permeability of free space.
  • Explore the effects of varying the distance between the plates on the magnetic field strength.
  • Investigate the impact of plate thickness on the magnetic field and energy storage.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding magnetic interactions between charged objects.

Jgamita10
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Homework Statement



Two very thick equally-magnetized square plates of
side 0.23m and of mass 20 g, are hung by threads
20.0 cm long from a common point. The plates repel and
deflect from each other through a very small angle.

a) Calculate the B field between the two plates, if the
distance between them is 0.123 cm?

b) Calculate the magnetic
field energy stored between the two plates.

Homework Equations





The Attempt at a Solution


I so far solved for the angle, and solved for the tension in the string using W=Mg=Tcosθ
 
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That's great.
Please show your working, and you best attempt at the bit you got stuck on.
 

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