Consider hollow cylindrical conducting shell of outer radius a and inner radius b carrying a uniformly distributed current , so ¿ = J/A where A is the cross sectional area of the cylindrical shell. A cross sectional view of the conductor is shown in Fig. 1(a) Use Ampére's law for the following. (a) Calculate the magnetic field in the hollow region of the conductor, r < b. (b) Calculate the magnetic field outside the conductor, r > a. (c) Show that the magnetic field inside the conductor for b < r < a is given by
Consider hollow cylindrical conducting shell of outer radius a and inner radius b carrying a uniformly distributed current , so ¿ = J/A where A is the cross sectional area of the cylindrical shell. A cross sectional view of the conductor is shown in Fig. 1(a) Use Ampére's law for the following. (a) Calculate the magnetic field in the hollow region of the conductor, r < b. (b) Calculate the magnetic field outside the conductor, r > a. (c) Show that the magnetic field inside the conductor for b < r < a is given by
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Consider hollow cylindrical conducting shell of outer radius a and inner radius b carrying
a uniformly distributed current , so ¿ = J/A where A is the cross sectional area of the cylindrical
shell. A cross sectional view of the conductor is shown in Fig. 1(a) Use Ampére's law for the
following.
(a) Calculate the magnetic field in the hollow region of the conductor, r < b.
(b) Calculate the magnetic field outside the conductor, r > a.
(c) Show that the magnetic field inside the conductor for b < r < a is given by
Transcribed Image Text:1oop
Consider hollow cylindrical conducting shell of outer radius a and inner radius b carrying
a uniformly distributed current i, so i = J/A where A is the cross sectional area of the cylindrical
shell. A cross sectional view of the conductor is shown in Fig. 1(a) Use Ampére's law for the
following.
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(a) Calculate the magnetic field in the hollow region of the conductor, r <b.
(b) Calculate the magnetic field outside the conductor, r > a.
(c) Show that the magnetic field inside the conductor for b<r<a is given by
(72-1)
Hoi
27 (a2 – 62)
B(r) =
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