Force between magnet and solenoid

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SUMMARY

The force between a current-carrying solenoid and a permanent magnet can be analyzed using the formula for magnetic force, which is directly proportional to the product of their magnetic flux densities. For cylindrical and toroidal solenoids, the magnetic field strength can be calculated using Ampere's Law, which states that the magnetic field inside a solenoid is given by B = μ₀(nI), where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current. The same principles apply when substituting the solenoid's parameters into the formula for the force between two permanent magnets.

PREREQUISITES
  • Understanding of Ampere's Law
  • Knowledge of magnetic flux density
  • Familiarity with solenoid configurations (cylindrical and toroidal)
  • Basic principles of magnetism
NEXT STEPS
  • Research the application of Ampere's Law in calculating magnetic fields of solenoids
  • Study the relationship between magnetic flux density and force in electromagnetism
  • Explore the differences in magnetic field strength between cylindrical and toroidal solenoids
  • Investigate the effects of current variations on the force between solenoids and magnets
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone interested in the principles of electromagnetism and magnetic force interactions.

M.Kalai vanan
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what is the formula for force between current carrying solenoid (both cylindrical and toroidal ) and a permanent magnet.
 
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M.Kalai vanan said:
what is the formula for force between current carrying solenoid (both cylindrical and toroidal ) and a permanent magnet.

What have you found in your searching for such formulas so far?
 
so far I've found out the formula for force between two permanent magnets and it states that the force is directly proportional to the product of their flux densities at poles. Now my doubt is that can we use the same formula by substituting the value of flux density and other parameters of solenoid instead of magnet.
 

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