An image taken from the cross-sectional area of a coaxial cable consisting solidinner conductor of Radius R, = 4 cm surrounded by a concentric cylind tube of inner radius R2 = 9 cm and outer radius R3 = 12 cm is given in figure. The inner conductor has the current density J = ar? and the total cu flows in this cylinder is I, = 25A. Here,a is a constant and ris the radial di st measured from the center. The outer cylindrical conductor carries a con

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R2
R3
lo
Ri
An image taken from the cross-sectional area of a coaxial cable consisting of a
solidinner conductor of Racdius R, = 4 cm surrounded by a concentric cylindhical
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 = ar? 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 B, at a distance r, = 3 cm and B2 at a distance r, = 10 cm ?
(Ho = 4Tx10-T. m/A , take the sign of the current coming out of the page as
positive).
А) В, — 19.75 дТ ; Вz — 10.99 иТ В) В, — 6.25 иТ %;B Вz — 116.36 иT
—D 19.75 иТ %; В2
— 10.99 T В) В, — 6.25 иT %; В, 3D 116.36 иT
C) В, — 52.73 рТ ; Вz — 34.92 иT D) B, — 62.5 дT%; Вz — 117.28 иT
E) В, — 0.64 иT; В, 3 35.29 иT
Transcribed Image Text:R2 R3 lo Ri An image taken from the cross-sectional area of a coaxial cable consisting of a solidinner conductor of Racdius R, = 4 cm surrounded by a concentric cylindhical 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 = ar? 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 B, at a distance r, = 3 cm and B2 at a distance r, = 10 cm ? (Ho = 4Tx10-T. m/A , take the sign of the current coming out of the page as positive). А) В, — 19.75 дТ ; Вz — 10.99 иТ В) В, — 6.25 иТ %;B Вz — 116.36 иT —D 19.75 иТ %; В2 — 10.99 T В) В, — 6.25 иT %; В, 3D 116.36 иT C) В, — 52.73 рТ ; Вz — 34.92 иT D) B, — 62.5 дT%; Вz — 117.28 иT E) В, — 0.64 иT; В, 3 35.29 иT
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