Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then if r> R B(r) = Bk if r R B(-y. x, 0) A(r) = if r< R (a) Use Stokes'Theorem to compute the flux of B through a circle in the xy-plane of radius r = 2 < R. (Use symbolic notation and fractions where needed.)
Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then if r> R B(r) = Bk if r R B(-y. x, 0) A(r) = if r< R (a) Use Stokes'Theorem to compute the flux of B through a circle in the xy-plane of radius r = 2 < R. (Use symbolic notation and fractions where needed.)
Related questions
Question
17.1 - #9

Transcribed Image Text:Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then
(0 if r> R
B(r) =
Bk if r< R
where r= V
+ y 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
RB (-.0) if
B(-y. x,0)
r> R
A(r) =
if r< R
(a) Use Stokes' Theorem to compute the flux of B through a circle in the xy-plane of radius r = 2 < R.
(Use symbolic notation and fractions where needed.)
B - dS
Incorrect
(b) Use Stokes' Theorem to compute the circulation of A around the boundary C of a surface lying outside the solenoid.
(Use symbolic notation and fractions where needed.)
A - dr =
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
