Electromagnetism/Permeability Question

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The discussion revolves around calculating the force exerted by an electromagnet under various changes to its parameters. Increasing the current to 6.0 A results in a force increase by a factor of four, while increasing the number of turns to 1400 provides a 1.4 times increase in force. The participants emphasize the importance of understanding the proportional relationships between current, number of turns, and the resulting magnetic force. There is confusion regarding the lack of equations related to permeability in the textbook, but the focus remains on the proportionality of the electromagnet's characteristics. Overall, the thread highlights the need for clarity on how these changes affect the electromagnet's performance.
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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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