A system of very long coaxial solenoids is shown. The internal solenoid has a radius a, no turns per unit length, and carries a current Ii . The outer solenoid has a radius b>a, ne turns per unit length and carries a surface current density Ke in the opposite direction to Ii (see figure). The central axis of the solenoids coincides with the line z = x. There is also an infinite wire along the z-axis, carrying a current I in the -z-direction.
A system of very long coaxial solenoids is shown. The internal solenoid has a radius a, no turns per unit length, and carries a current Ii . The outer solenoid has a radius b>a, ne turns per unit length and carries a surface current density Ke in the opposite direction to Ii (see figure). The central axis of the solenoids coincides with the line z = x. There is also an infinite wire along the z-axis, carrying a current I in the -z-direction.
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M6
Transcribed Image Text:A system of very long coaxial solenoids is shown.
The internal solenoid has a radius a, no turns per
unit length, and carries a current Ii. The outer
solenoid has a radius b>a, ne turns per unit length
and carries a surface current density Ke in the
opposite direction to Ii (see figure). The central axis
of the solenoids coincides with the line z = x. There
is also an infinite wire along the z-axis, carrying a
current I in the -z-direction.
a) The induction
solenoid is:
B for any point inside the inner
b) The induction B for any point between both
solenoids is:
c) The induction B for the region outside both
solenoids is:
d) If the induction field due to the solenoids is
required to be removed for the region inside the
inner solenoid, what current le must the outer
solenoid carry?
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