Solve Magnetic Field & Energy Between 2 Equally Magnetized Plates

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SUMMARY

The discussion focuses on calculating the magnetic field (B field) between two equally magnetized square plates with a side length of 0.23m and mass of 20g, suspended by 20cm threads. The distance between the plates is 0.123cm. The calculations involve determining the B field using the principle of virtual work and solving for the angle of deflection. Additionally, the magnetic field energy stored between the plates is to be calculated based on the derived B field.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Knowledge of the principle of virtual work
  • Familiarity with basic physics equations related to tension and weight
  • Ability to perform calculations involving magnetic field energy
NEXT STEPS
  • Calculate the magnetic field strength using the formula B = μ₀ * (M/d) for the given parameters
  • Explore the concept of magnetic field energy using the equation U = (1/2) * B² * V
  • Investigate the effects of varying the distance between the plates on the magnetic field
  • Learn about the applications of magnetic fields in engineering and technology
USEFUL FOR

Students studying electromagnetism, physics enthusiasts, and anyone involved in experiments or applications related to magnetic fields and energy storage.

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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Hint: use the principle of virtual work.
 

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