2. An infinitely long cylinder with radius R and susceptibility Xm, carries free current Jƒ = ks"₂ where k is a constant, s is the distance from the axis and n is a positive integer. (a) Calculate H inside and outside the cylinder (you can use symmetry arguments). (b) Give an expression for B in terms of the free current I and the susceptibility, and determine all bound currents. (c) Show that the total current (including bound currents) is what you would expect for Le
2. An infinitely long cylinder with radius R and susceptibility Xm, carries free current Jƒ = ks"₂ where k is a constant, s is the distance from the axis and n is a positive integer. (a) Calculate H inside and outside the cylinder (you can use symmetry arguments). (b) Give an expression for B in terms of the free current I and the susceptibility, and determine all bound currents. (c) Show that the total current (including bound currents) is what you would expect for Le
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Transcribed Image Text:2. An infinitely long cylinder with radius R and susceptibility Xm, carries free current
Jf = ks" ₂
where k is a constant, s is the distance from the axis and n is a positive integer.
(a) Calculate H inside and outside the cylinder (you can use symmetry arguments).
(b) Give an expression for B in terms of the free current I and the susceptibility, and determine
all bound currents.
(c) Show that the total current (including bound currents) is what you would expect for Jf.
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