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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 =

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 < R. Here, A is a constant with units amperes per square meter, and the radius of the wire is R = 0.48 mm. Part (a) Find an expression for the current enclosed in a cylinder with a radius of r < R. Expression : i(r) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, n, 0, A, d, g, h, I, j, m, n, P, r, R Part (b) If the total current in the wire is I, find an expression for the constant A, in terms of the other variables in the problem. Expression : A = Select from the variables below to write your expression. Note that all variables may not be required. B, y, T, 0, A, d, g, h, I, j, m, n, P, r, R Part (c) If the total current is 1.5 A, what is the constant A, in amperes per square meter? Numeric : Anumeric value is expected and not an expression. A = Part (d) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. Expression : B(r) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, µo, T, 0, d, g, h, I, j, m, n, P, r, R Part (e) Find an expression for the magnetic field outside of the wire, for r > 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 : Anumeric value is expected and not an expression. ro,1 = Part (g) What is the maximum value of the enclosed current, in amperes? Numeric : Anumeric value is expected and not an expression. imax = Part (h) For what r, in meters, is the magnetic field maximized? Numeric : Anumeric 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 =
Transcribed Image Text: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 < R. Here, A is a constant with units amperes per square meter, and the radius of the wire is R = 0.48 mm. Part (a) Find an expression for the current enclosed in a cylinder with a radius of r < R. Expression : i(r) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, n, 0, A, d, g, h, I, j, m, n, P, r, R Part (b) If the total current in the wire is I, find an expression for the constant A, in terms of the other variables in the problem. Expression : A = Select from the variables below to write your expression. Note that all variables may not be required. B, y, T, 0, A, d, g, h, I, j, m, n, P, r, R Part (c) If the total current is 1.5 A, what is the constant A, in amperes per square meter? Numeric : Anumeric value is expected and not an expression. A = Part (d) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. Expression : B(r) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, µo, T, 0, d, g, h, I, j, m, n, P, r, R Part (e) Find an expression for the magnetic field outside of the wire, for r > 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 : Anumeric value is expected and not an expression. ro,1 = Part (g) What is the maximum value of the enclosed current, in amperes? Numeric : Anumeric value is expected and not an expression. imax = Part (h) For what r, in meters, is the magnetic field maximized? Numeric : Anumeric 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 =
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