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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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This is my last attempt and it says to use stokes' theorem to compute the flux of B through a circle in the xy plane of radius r=6<R

pleade read the sentence on the photo this is my only attempt 

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
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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