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Problem 8: An electric current is flowing through a long cylindrical conductor with radius a = 0.65 m. The current density J = 8.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 'B Part (a) Whenris less than a, express the current inside the imaginary cylinder Ir in terms of r and J. Expression : Ir = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I, and its radius r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, Ir, J, Jr. m, r, t Part (c) Express B in terms of J and r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, I, J, m, P, r, t Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Numeric : Anumeric value is expected and not an expression. В(r-0.5а) - Part (e) Whenris greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Expression : I = 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, P, r, t Part (f) Express the magnitude of the magnetic field, B, at r> a in terms of I and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, I, J, m, P, r, t Part (g) Express B in terms of J, a and r. Expression: Br > a = Select from the variables below to write your expression. Note that all variables may not be required. B, Ho, T, 0, a, d, g, h, I, J, m, n, P, r, t Part (h) For r 2 a, calculate the numerical value of B in Tesla. Numeric : A numeric value is expected and not an expression. B(r=2a) =

Problem 8: An electric current is flowing through a long cylindrical conductor with radius a = 0.65 m. The current density J = 8.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 'B Part (a) Whenris less than a, express the current inside the imaginary cylinder Ir in terms of r and J. Expression : Ir = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I, and its radius r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, Ir, J, Jr. m, r, t Part (c) Express B in terms of J and r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, I, J, m, P, r, t Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Numeric : Anumeric value is expected and not an expression. В(r-0.5а) - Part (e) Whenris greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Expression : I = 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, P, r, t Part (f) Express the magnitude of the magnetic field, B, at r> a in terms of I and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, Ho, T, 0, a, d, g, h, I, J, m, P, r, t Part (g) Express B in terms of J, a and r. Expression: Br > a = Select from the variables below to write your expression. Note that all variables may not be required. B, Ho, T, 0, a, d, g, h, I, J, m, n, P, r, t Part (h) For r 2 a, calculate the numerical value of B in Tesla. Numeric : A numeric value is expected and not an expression. B(r=2a) =

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 8: An electric current is flowing through a long cylindrical conductor with radius a = 0.65 m. The current density / = 8.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 11:11 'B Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I and its radius r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, Ir, J, Jr, m, r, t Part (c) Express B in terms of J and r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (d) For r = 0.5 a, calculate the numerical value of B in Tesla. Numeric : Anumeric value is expected and not an expression. B(r=0.5a) = Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. В, у, Но, п, ө, а, d, g, h, I, J, m, P, r, t Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (g) Express B in terms of J, a and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. B, Ho, T, 0, a, d, g, h, I, J, m, n, P, r, t Part (h) For r 2 a, calculate the numerical value of B in Tesla. Numeric : A numeric value is expected and not an expression. B(r=2a) =
Transcribed Image Text:Problem 8: An electric current is flowing through a long cylindrical conductor with radius a = 0.65 m. The current density / = 8.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 11:11 'B Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (b) Express the magnitude of the magnetic field B at r in terms of the current through the imaginary cylinder I and its radius r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, Ir, J, Jr, m, r, t Part (c) Express B in terms of J and r. Expression : Br < a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (d) For r = 0.5 a, calculate the numerical value of B in Tesla. Numeric : Anumeric value is expected and not an expression. B(r=0.5a) = Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a and J. Expression : I = Select from the variables below to write your expression. Note that all variables may not be required. В, у, Но, п, ө, а, d, g, h, I, J, m, P, r, t Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. a, B, µo, T, 0, a, d, g, h, I, J, m, P, r, t Part (g) Express B in terms of J, a and r. Expression : Br > a = Select from the variables below to write your expression. Note that all variables may not be required. B, Ho, T, 0, a, d, g, h, I, J, m, n, P, r, t Part (h) For r 2 a, calculate the numerical value of B in Tesla. Numeric : A numeric value is expected and not an expression. B(r=2a) =
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