Find the magnetic flux density due to the given current density everywhere: 4r² J(r) = Ho 0 5 1
Find the magnetic flux density due to the given current density everywhere: 4r² J(r) = Ho 0 5 1
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b5d4c98-afbd-424f-9855-c5eac84955f5%2Faad2ca93-ef7a-42d4-bcf9-55ee70e466eb%2Fncbkpmg_processed.png&w=3840&q=75)
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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