Solenoid with a magnetic core problem

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SUMMARY

The discussion centers on calculating the magnetic field (B) inside a solenoid with a silicon steel core. The solenoid has 70.0 turns of wire per centimeter and carries a current of 0.100 A. The correct formula for the magnetic field is B = μ₀(n)I, where μ₀ is the permeability of free space, and n is the number of turns per unit length. The user incorrectly substituted μ₀ with μ₀ * 5200, leading to an incorrect result of 4.55 T. Additionally, questions were raised about maximizing the magnetic field from a 2" x 4" core surface and materials that can isolate magnetic fields.

PREREQUISITES
  • Understanding of solenoid magnetic field equations
  • Knowledge of permeability of materials, specifically silicon steel
  • Familiarity with magnetic field strength calculations
  • Basic principles of electromagnetism
NEXT STEPS
  • Review the solenoid magnetic field formula B = μ₀(n)I
  • Explore the properties of silicon steel and its magnetic permeability
  • Investigate methods to maximize magnetic field strength in solenoids
  • Learn about materials that can effectively isolate magnetic fields
USEFUL FOR

Students studying electromagnetism, electrical engineers designing solenoids, and anyone interested in optimizing magnetic field applications in engineering projects.

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Homework Statement



A long solenoid with 70.0 turns of wire per centimeter carries a current of 0.100 A. The wire that makes up the solenoid is wrapped around a solid core of silicon steel (Km=5200). (The wire of the solenoid is jacketed with an insulator so that none of the current flows into the core.)

For a point inside the core, find the magnitude of the magnetic field B due to the solenoid current.

Homework Equations





The Attempt at a Solution



I used the regular solenoid equation B = munaught(n)I but i replaced munaught with munaught*5200 this gave me 4.55 but that isn't the right answer?
 
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I get the same answer.

BTW, no need to double post. This is the correct forum for this question.
 
Hi:

How can I generate max magnetic field from 2" x 4" core surface?

Any material can isolate magnetic field?

Regards,
Eugene
 

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