Problem 7: A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=A(1-r/R), for radius r in the range 0 R. Expression : B(r) = . Select from the variables below to write your expression. Note that all variables may not be required. B, y, Ho, T, 0, A, d, g, h, I, j, m, n, P, r Part (f) For what r, in meters, is the current enclosed maximum? Numeric : A numeric value is expected and not an expression. ro,1 = Part (g) What is the maximum value of the enclosed current, in amperes? Numeric : A numeric value is expected and not an expression. İmax = Part (h) For what r, in meters, is the magnetic field maximized? Numeric : A numeric value is expected and not an expression. ro,B = Part (i) What is the maximum value of the magnetic field, in tesla? Numeric : A numeric value is expected and not an expression. Bmax =

Problem 7: A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=A(1-r/R), for radius r in the range 0 R. Expression : B(r) = . Select from the variables below to write your expression. Note that all variables may not be required. B, y, Ho, T, 0, A, d, g, h, I, j, m, n, P, r Part (f) For what r, in meters, is the current enclosed maximum? Numeric : A numeric value is expected and not an expression. ro,1 = Part (g) What is the maximum value of the enclosed current, in amperes? Numeric : A numeric value is expected and not an expression. İmax = Part (h) For what r, in meters, is the magnetic field maximized? Numeric : A numeric value is expected and not an expression. ro,B = Part (i) What is the maximum value of the magnetic field, in tesla? Numeric : A numeric value is expected and not an expression. Bmax =

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 54P: By how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long,...

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Here we have a wire with current I=3.6 A pointing out of the page. Let's draw an Amperian path around that wire as shown in the picture belwo, with side length d=0.4 m and direction indicated by the arrows. What is the magnitude of the quantity ∮B⃗ ⋅dℓ⃗  for that Amperian path, in T*m?
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