R2 lo R3 An image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density j1 = C,r and j, = C2r , respectively, for which r is the radial distance from the center. Each conductor carries the same total 1, in opposite directions. What is the magnitude of the magnetic field B, at a distance r, = 2 cm and B, at a distance r 7 cm ? (R = 3 cm; R2 = 6 cm; R3 = 8 cm :lo = 3 A; Ho = 47x10-7 T.m/A. Take the sign of the current coming out from the page plane as positive). а) В, — 7.40 рТ; В, — 7.28 иТ b) B = 8.8 µT; B2 = 4.89 µT c) B1 = 2.56 µT ; B2 = 4.93 µT d) B1 = 0.62 µT ; B2 = 2.81 µT e) B = 5 µT ; B2 = 4.78 µT %3D

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R2
lo
R3
Ri
An image taken from the cross-sectional area of a coaxial cable consisting of a
solid inner conductor of Radius R1 surrounded by a concentric cylindrical tube of
inner radius R2 and outer radius R3 is given in the figure. The inner conductor and
outer conductor (cylindrical tube) have the current density ji = C,r and j, = C2r
, respectively, for which r is the radial distance from the center. Each conductor
carries the same total I, in opposite directions. What is the magnitude of the
magnetic field B, at a distance r, = 2 cm and B, at a distance r, = 7 cm ?
(R, = 3 cm ; R2 = 6 cm ; R3 = 8 cm ;l, = 3 A ; µo = 4nx10-7 T.m/A. Take
the sign of the current coming out from the page plane as positive).
а) В, — 7.40 рТ; В, — 7.28 иТ b) В, — 8.8 дТ ; В, — 4.89 иT
%3D
с) В, — 2.56 иТ; В, — 4.93 иТ d) B, — 0.62 иT ;B В, — 2.81 иT
%3D
e) B1 = 5 µT ; B2 = 4.78 µT
으X
Transcribed Image Text:R2 lo R3 Ri An image taken from the cross-sectional area of a coaxial cable consisting of a solid inner conductor of Radius R1 surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density ji = C,r and j, = C2r , respectively, for which r is the radial distance from the center. Each conductor carries the same total I, in opposite directions. What is the magnitude of the magnetic field B, at a distance r, = 2 cm and B, at a distance r, = 7 cm ? (R, = 3 cm ; R2 = 6 cm ; R3 = 8 cm ;l, = 3 A ; µo = 4nx10-7 T.m/A. Take the sign of the current coming out from the page plane as positive). а) В, — 7.40 рТ; В, — 7.28 иТ b) В, — 8.8 дТ ; В, — 4.89 иT %3D с) В, — 2.56 иТ; В, — 4.93 иТ d) B, — 0.62 иT ;B В, — 2.81 иT %3D e) B1 = 5 µT ; B2 = 4.78 µT 으X
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