How Does a Silicon Steel Core Affect a Solenoid's Magnetic Field?

[physstudent1]

1. 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.
2. Homework Equations



3. 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?

 

[calebarandomstudent]

1. 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.
2. Homework Equations
3. 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?

You had the right formula (B=(munaught)*n*I) but you added an extra step. Just use munaught instead of munaught*5200. You don't need to multiply anything by Km until solving for magnetization.