A solenoid with radius a, length L and N turns of wire is given. A current of I is flowing through the wire. In the core of the solenoid there is a magnetic material of permeability μ = μr (H/m). Remembering that the magnetic field intensity within the solenoid is IN Н Ħ = ¹ ⸠(A/m), L Determine: a. the magnetic flux density in the core of the solenoid. b. the total magnetic flux flowing through the cross-section of the solenoid. c. the self-inductance of the solenoid for a length L.
A solenoid with radius a, length L and N turns of wire is given. A current of I is flowing through the wire. In the core of the solenoid there is a magnetic material of permeability μ = μr (H/m). Remembering that the magnetic field intensity within the solenoid is IN Н Ħ = ¹ ⸠(A/m), L Determine: a. the magnetic flux density in the core of the solenoid. b. the total magnetic flux flowing through the cross-section of the solenoid. c. the self-inductance of the solenoid for a length L.
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Transcribed Image Text:1) Find the magnetic flux density due to the given current density everywhere:
47²
J(r)= Ho
0
"
1<r<2
otherwise
(A/m²)
2) The magnetic field intensity is given as Ħ=-yâ¸+xâ¸(A/m) in the z=0 plane.
Determine the current density that creates this magnetic field intensity.
3) A solenoid with radius a, length L and N turns of wire is given. A current of I is flowing
through the wire. In the core of the solenoid there is a magnetic material of permeability
μ = μr (H/m).
Remembering that the magnetic field intensity within the solenoid is
IN
Ā -â. (A/m),
L
Determine:
a. the magnetic flux density in the core of the solenoid.
b. the total magnetic flux flowing through the cross-section of the solenoid.
c. the self-inductance of the solenoid for a length L.
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