An infinite thin wire (A) traversed by a current I, lies along the axis of a long cylindrical conducting shell (B) of inner radius a, and outer radius b. The current flowing non- uniformly through the shell is described by: J = k r, where k is a constant, and r is the radial distance from the axis. a) Determine the magnetic field vector at a point M at r
An infinite thin wire (A) traversed by a current I, lies along the axis of a long cylindrical conducting shell (B) of inner radius a, and outer radius b. The current flowing non- uniformly through the shell is described by: J = k r, where k is a constant, and r is the radial distance from the axis. a) Determine the magnetic field vector at a point M at r
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Transcribed Image Text:An infinite thin wire (A) traversed by a current I, lies along
the axis of a long eylindrical conducting shell (B) of inner
radius a, and outer radius b. The current flowing non-
uniformly through the shell is described by: J = kr², where
(B)
k is a constant, and r is the radial distance from the axis.
a) Determine the magnetic field vector at a point M at r<a.
b) Determine the magnetic field vector at a point N at a <r<b.
c) What is the value of the current I, flowing in the infinite wire
(A) so that NO magnetie field will be existing at r> b?
In this part, let a = 0.2 m, b = 0.4 m, and k = A
M
三:
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