A long solenoid with 35 turns of wire per centimeter carries a current of 0.344A

Question

A long solenoid with 35 turns of wire per centimeter carries a current of 0.344A . The wire that makes up the solenoid is wrapped around a solid core of magnetic material with relative permeability 5068. (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 B0? due to the solenoid current.

For a point inside the core, find the magnitude of the magnetization M? .

For a point inside the core, find the magnitude of the total magnetic field B? .

Explanation / Answer

B = mu0 n I = mu0 * 35 * 0.344

= 1.51 * 10-3 T

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B = KM * B0

= 5068 * 1.51 * 10-3

= 7.65 T

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