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Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0 if Bk if B(r) = 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 A(r) = B BdS = Incorrect r> R r< R B(-y, x, 0) (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.) Br² if r> R if r < R

Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0 if Bk if B(r) = 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 A(r) = B BdS = Incorrect r> R r< R B(-y, x, 0) (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.) Br² if r> R if r < R

Advanced Engineering Mathematics
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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Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0 ={8/ B(r) = 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 -{} J A(r) = if r> R Bk if r < R Incorrect BdS = R²B (-2,2,0) if B(-y, x, 0) if 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.) - y Br²π r> R r< R S
Transcribed Image Text:Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0 ={8/ B(r) = 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 -{} J A(r) = if r> R Bk if r < R Incorrect BdS = R²B (-2,2,0) if B(-y, x, 0) if 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.) - y Br²π r> R r< R S
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