9.3. A system of two conductors has a cross section given by the intersection of two circles of radius b with centers separated by 2a as shown in figure below. The conducting portion is shown hatched, the non-hatched lens-shaped region being a vacuum. The conductor on the left carries a uniform current density, J1-, coming out of the page, and the conductor on the right carries a uniform current density, −J 1-, going into the page. Assume that the magnetic permeability of the conductor is the same as that of the vacuum. Find the magnetic field at all points in the vacuum enclosed between the two conductors. ·b· 2a

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9.3. A system of two conductors has a cross section given by
the intersection of two circles of radius b with centers
separated by 2a as shown in figure below. The conducting
portion is shown hatched, the non-hatched lens-shaped region
being a vacuum. The conductor on the left carries a uniform
current density, J1, coming out of the page, and the
conductor on the right carries a uniform current density, −J 12,
going into the page. Assume that the magnetic permeability of
the conductor is the same as that of the vacuum. Find the
magnetic field at all points in the vacuum enclosed between
the two conductors.
2a
Transcribed Image Text:9.3. A system of two conductors has a cross section given by the intersection of two circles of radius b with centers separated by 2a as shown in figure below. The conducting portion is shown hatched, the non-hatched lens-shaped region being a vacuum. The conductor on the left carries a uniform current density, J1, coming out of the page, and the conductor on the right carries a uniform current density, −J 12, going into the page. Assume that the magnetic permeability of the conductor is the same as that of the vacuum. Find the magnetic field at all points in the vacuum enclosed between the two conductors. 2a
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