Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then if r> R 0 Bk if r < R B(r) = √x² + y2 is the distance to the z-axis and B is a constant that depends on the current strength I and the spacing of where r = the turns of wire. The vector potential for B is A(r) = R²B(-20) if r> R B(-y, x, 0) if r
Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then if r> R 0 Bk if r < R B(r) = √x² + y2 is the distance to the z-axis and B is a constant that depends on the current strength I and the spacing of where r = the turns of wire. The vector potential for B is A(r) = R²B(-20) if r> R B(-y, x, 0) if r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Zero is the wrong answer and is Br^2 pi is wrong as well
Transcribed Image Text:Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then
B(r) = { Bk if 7 < R
0
r > R
r
√x² + y² is the distance to the z-axis and B is a constant that depends on the current strength I and the spacing of
where r =
the turns of wire.
The vector potential for B is
A(r) =
B.dS=
R²B (-20) if r> R
B(-y, x,0)
if r < R
(a) Use Stokes' Theorem to compute the flux of B through a circle in the xy-plane of radius r = 6 < R.
(Use symbolic notation and fractions where needed.)
Incorrect
R
2
Br
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