Electromagnetism/Permeability Question

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SUMMARY

The discussion centers on calculating the force exerted by an electromagnet based on changes in current and the number of turns in the coil. The electromagnet initially exerts a force of 150 N with 1000 turns and a current of 1.5 A, using a core material with a relative magnetic permeability of 2000. Increasing the current to 6.0 A results in a force increase by a factor of 4, while increasing the number of turns to 1400 yields a force increase of approximately 1.4 times. When both changes are applied simultaneously, the total force can be calculated by multiplying these factors together.

PREREQUISITES
  • Understanding of electromagnetism principles
  • Familiarity with the formula for magnetic force in electromagnets
  • Knowledge of relative magnetic permeability
  • Basic algebra for proportionality calculations
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  • Study the relationship between current and magnetic force in electromagnets
  • Learn about the effects of coil turns on electromagnet strength
  • Research the concept of magnetic permeability and its applications
  • Explore simultaneous changes in electromagnet parameters and their combined effects
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Homework Statement


An electromagnet is able to exert a force of 1.5x10^2 N when lifting an object. The electromagnet has 1000 turns, a current of 1.5A, and a material in the core with a relative magnetic permeability of 2.0 x 10^3. What force will the electromagnet exert if the following changes are made, each considered separately?

a) The current is increase to 6.0 A.

b) The number of turns in the coil is increased to 1400 without increasing the length of the coil

c) All of the above changes are considered simultaneously.

Homework Equations


My textbook shows absolutely NO equations relating to permeability. Thus, I literally have no idea what to do :S
 
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Doesn't ask you about permiability.
You just need to know about proportionality.

a) the current is 4x
b) you have 1.4 (that's almost the square-root of two) times the turns per unit length.

You have equations that relate how #turns and current to an electromagnet.
What's the problem?
 

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