An image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R₁ = 4 cm surrounded by a concentric cylindrical tube of inner radius R₂ = 9 cm and outer radius R3 = 12 cm is given in the figure. The inner conductor has the current density J = ar² and the total current flows in this cylinder is Io = 25A. Here,a is a constant and r is the radial distance measured from the center. The outer cylindrical conductor carries a constant current I = 25A distributed uniformly across its cross section. Total current lo flows in opposite directions in both conductors. What is the magnitude of the magnetic field B₁ at a distance r₁ = 3 cm and B₂ at a distance r₂ = 10 cm ? (Mo = 4πx10-7T.m/A, take the sign of the current coming out of the page as
An image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R₁ = 4 cm surrounded by a concentric cylindrical tube of inner radius R₂ = 9 cm and outer radius R3 = 12 cm is given in the figure. The inner conductor has the current density J = ar² and the total current flows in this cylinder is Io = 25A. Here,a is a constant and r is the radial distance measured from the center. The outer cylindrical conductor carries a constant current I = 25A distributed uniformly across its cross section. Total current lo flows in opposite directions in both conductors. What is the magnitude of the magnetic field B₁ at a distance r₁ = 3 cm and B₂ at a distance r₂ = 10 cm ? (Mo = 4πx10-7T.m/A, take the sign of the current coming out of the page as
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Question
![2)
R2
R3
lo
Ri
An image taken from the cross-sectional area of a coaxial cable consisting of a
solidinner conductor of Radius R1 = 4 cm surrounded by a concentric cylindrical
tube of inner radius R2 = 9 cm and outer radius R3 = 12 cm is given in the
figure. The inner conductor has the current density J = ar² and the total current
flows in this cylinder is I, = 25A. Here,a is a constant and ris the radial di stance
measured from the center. The outer cylindrical conductor carries a constant
current I, = 25A distributed uniformly across its cross section. Total current I,
flows in opposite directions in both conductors. What is the magnitude of the
magnetic field Bị at a distance r¡ = 3 cm and B2 at a distance r2 = 10 cm ?
(Ho = 4nx10-7T.m/A , take the sign of the current coming out of the page as
positive).
А) В, — 19.75 иT; В, — 10.99 иТ В) В, — 6.25 иT %;B Вz — 116.36 T
10.99 µT B) B, = 6.25 µT ; B2 = 116.36 µT
C) B = 52.73 µT ; B, = 34.92 µT D) B = 62.5 µT ; B2= 117.28 µT
E) В, — 0.64 иТ; В, — 35.29 иT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ef5fa6-5a65-4de6-86cc-2e59853f7904%2F70b0bde6-18e7-4473-9c76-098fdb7a241b%2F5biu57h_processed.png&w=3840&q=75)
Transcribed Image Text:2)
R2
R3
lo
Ri
An image taken from the cross-sectional area of a coaxial cable consisting of a
solidinner conductor of Radius R1 = 4 cm surrounded by a concentric cylindrical
tube of inner radius R2 = 9 cm and outer radius R3 = 12 cm is given in the
figure. The inner conductor has the current density J = ar² and the total current
flows in this cylinder is I, = 25A. Here,a is a constant and ris the radial di stance
measured from the center. The outer cylindrical conductor carries a constant
current I, = 25A distributed uniformly across its cross section. Total current I,
flows in opposite directions in both conductors. What is the magnitude of the
magnetic field Bị at a distance r¡ = 3 cm and B2 at a distance r2 = 10 cm ?
(Ho = 4nx10-7T.m/A , take the sign of the current coming out of the page as
positive).
А) В, — 19.75 иT; В, — 10.99 иТ В) В, — 6.25 иT %;B Вz — 116.36 T
10.99 µT B) B, = 6.25 µT ; B2 = 116.36 µT
C) B = 52.73 µT ; B, = 34.92 µT D) B = 62.5 µT ; B2= 117.28 µT
E) В, — 0.64 иТ; В, — 35.29 иT
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