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current I flows long straight wire of radius a, has susceptibility Xm
magnetic field in the conductor
B = mui0 ( 1 + Xm) H
by amphere's law
integral H .dl = If enclosed
= I x pi r2/ pi a2
H . 2pi r = I r2/a2
H = I r/ 2pi a2phi
B = mui0 ( 1 + Xm ) Ir/ 2pi a2 phi
bound currents, Jb and Kb
volume current density, Jb = del x M
= del x Xm H
= Xm del x H
= Xm Jf z
Jb = Xm I/pi a2 z
surface current, Kb = M x n
= Xm H phi x r
Kb = Xm I/ 2pi a z
Solution
current I flows long straight wire of radius a, has susceptibility Xm
magnetic field in the conductor
B = mui0 ( 1 + Xm) H
by amphere's law
integral H .dl = If enclosed
= I x pi r2/ pi a2
H . 2pi r = I r2/a2
H = I r/ 2pi a2phi
B = mui0 ( 1 + Xm ) Ir/ 2pi a2 phi
bound currents, Jb and Kb
volume current density, Jb = del x M
= del x Xm H
= Xm del x H
= Xm Jf z
Jb = Xm I/pi a2 z
surface current, Kb = M x n
= Xm H phi x r
Kb = Xm I/ 2pi a z

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current I flows long straight wire of radius a, has susceptibility X.pdf

  • 1. current I flows long straight wire of radius a, has susceptibility Xm magnetic field in the conductor B = mui0 ( 1 + Xm) H by amphere's law integral H .dl = If enclosed = I x pi r2/ pi a2 H . 2pi r = I r2/a2 H = I r/ 2pi a2phi B = mui0 ( 1 + Xm ) Ir/ 2pi a2 phi bound currents, Jb and Kb volume current density, Jb = del x M = del x Xm H = Xm del x H = Xm Jf z Jb = Xm I/pi a2 z surface current, Kb = M x n = Xm H phi x r Kb = Xm I/ 2pi a z Solution current I flows long straight wire of radius a, has susceptibility Xm magnetic field in the conductor B = mui0 ( 1 + Xm) H by amphere's law integral H .dl = If enclosed = I x pi r2/ pi a2 H . 2pi r = I r2/a2 H = I r/ 2pi a2phi B = mui0 ( 1 + Xm ) Ir/ 2pi a2 phi bound currents, Jb and Kb volume current density, Jb = del x M = del x Xm H = Xm del x H
  • 2. = Xm Jf z Jb = Xm I/pi a2 z surface current, Kb = M x n = Xm H phi x r Kb = Xm I/ 2pi a z