Consider a solenoid of length L and radius R, where R«L A steady-current flows through the solenoid. The magnetic field is uniform inside the solenoid and zero outside. L/2 L Among the given options, choose the one that best represents the variation in the magnitude of the vector potential, (0, A¸,0) at z= L/2, as a function of the radial distance (r) in cylindrical coordinates. Useful information: The curl of a vector F , in cylindrical coordinates is VXF(r.9.z)=f OF, ƏF, 1[õ(rF,) _ aF, r ôp ôz or (a) (b) R R 14, †A, (c) (d) R R
Consider a solenoid of length L and radius R, where R«L A steady-current flows through the solenoid. The magnetic field is uniform inside the solenoid and zero outside. L/2 L Among the given options, choose the one that best represents the variation in the magnitude of the vector potential, (0, A¸,0) at z= L/2, as a function of the radial distance (r) in cylindrical coordinates. Useful information: The curl of a vector F , in cylindrical coordinates is VXF(r.9.z)=f OF, ƏF, 1[õ(rF,) _ aF, r ôp ôz or (a) (b) R R 14, †A, (c) (d) R R
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Transcribed Image Text:Consider a solenoid of length L and radius R, where R«L. A steady-current flows
through the solenoid. The magnetic field is uniform inside the solenoid and zero outside.
L/2
L
Among the given options, choose the one that best represents the variation in the
magnitude of the vector potential, (0,A,,0) at z=L/2, as a function of the radial
distance (r) in cylindrical coordinates.
Useful information: The curl of a vector F, in cylindrical coordinates is
[a(rF,) &F,
or
1a
VXF(r,o.z) = f
r ôp
14,
(a)
(b)
R
R
A,
14,
(c)
(p)
R
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