Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then B(r) = A(r) = Bk where 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 the turns of wire. The vector potential for B is if r> R if r < R Incorect R²B(-2,0) if r> R B(-y, x, 0) if r < 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.) B BdS= Br² x Question Source: Rogawski 4e Calculus Early
Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then B(r) = A(r) = Bk where 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 the turns of wire. The vector potential for B is if r> R if r < R Incorect R²B(-2,0) if r> R B(-y, x, 0) if r < 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.) B BdS= Br² x Question Source: Rogawski 4e Calculus Early
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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I have tried Br^2pie multiple times and it is the wrong answer please this is my only attempt
Transcribed Image Text:Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then
={
B(r) =
0
A(r) =
Bk
where =
√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
the turns of wire.
The vector potential for B is
if
r>R
if r < R
[R²B (-2,0) if
,0) if r> R
B(-y, x, 0)
if
r<R
[[ B · ds =
S
TANAYA
R
B
(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.)
BI
Question Source: Rogawski 4e Calculus Early Tr
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