R2 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 R, is given in the figure. The inner conductor and outer conductor (cylindrical tube) have the current density ji = Crand j, = Czr , 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 ri = 1 cm and B2 at a distance r2 = 8 cm ? (R = 4 cm ; R2 = 7 cm; R, = 9 cm 1, = 2 A; Ho = 4nx10-7 T.m/A. Take the sign of the current coming out from the page plane as positive). а) В, — 7.40 иТ ; В, — 7.28 иТ b) В, — 8.8 дТ %;B В, 4.89 µT %3D c) B1 = 2.56 µT; B2 = 4.93 µT d) B1 = 0.62 uT ; B2 = 2.81 µT %3D %3D e) B = 5 µT ; B2 = 4.78 µT

Power System Analysis and Design (MindTap Course List)
6th Edition
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter4: Transmission Line Parameters
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Problem 4.4P: One thousand circular mils or 1 kcmil is sometimes designated by the abbreviation MCM75C. Data for...
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R27
lo
R3
Ri
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 ji = Cr and j, = C,r
, 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 = 1 cm and B2 at a distance r2 = 8 cm ?
(R, = 4 cm ; R, =7 cm ; R, = 9 cm ;I, = 2 A; Ho = 4nx10-7 T.m/A. Take
the sign of the current coming out from the page plane as positive).
a) B1 = 7.40 µT ; B2 = 7.28 µT b) B = 8.8 µT ; B2 = 4.89 µT
с) В, — 2.56 иТ; В, — 4.93 иТ d) B, — 0.62 иТ %;B В, 3 2.81 иT
e) B1 = 5 µT ; B2 = 4.78 µT
Transcribed Image Text:R27 lo R3 Ri 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 ji = Cr and j, = C,r , 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 = 1 cm and B2 at a distance r2 = 8 cm ? (R, = 4 cm ; R, =7 cm ; R, = 9 cm ;I, = 2 A; Ho = 4nx10-7 T.m/A. Take the sign of the current coming out from the page plane as positive). a) B1 = 7.40 µT ; B2 = 7.28 µT b) B = 8.8 µT ; B2 = 4.89 µT с) В, — 2.56 иТ; В, — 4.93 иТ d) B, — 0.62 иТ %;B В, 3 2.81 иT e) B1 = 5 µT ; B2 = 4.78 µT
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