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Tutorial Exercise A cube of edge length { = 2.10 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.6î + 4.0j + 3.0k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. (b) What is the total flux through the six faces?

Tutorial Exercise A cube of edge length { = 2.10 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.6î + 4.0j + 3.0k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. (b) What is the total flux through the six faces?

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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Tutorial Exercise A cube of edge length { = 2.10 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.6î + 4.0j + 3.0k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. (b) What is the total flux through the six faces? Part 1 of 4 - Conceptualize For the flux through the shaded face of the cube, we estimate a value on the order of 10-4 T - m2. For the total flux through the six faces, we estimate zero flux due to the uniformity of the field and the fact that the cube is a closed surface. Part 2 of 4 - Categorize We will use the definition of magnetic flux. Part 3 of 4 - Analyze The flux is defined as dg = B - A, so we have the following. PB = BXAX + ByAy + BZAZ (a) The area of the shaded square is in the yz plane, so it is an x component of the area. For this component, Ay = Az = 0, we have OB = ByAx (No Response) 4.6 T)( (No Response) m) = (No Response) 2.03 х 10-3 т- m2, Part 4 of 4 - Analyze (b) For a closed surface, we have B - B = 0 so the total flux through the six faces of the cube is OB = T:m². Submit Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise A cube of edge length { = 2.10 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (4.6î + 4.0j + 3.0k) T exists throughout the region. (a) Calculate the magnetic flux through the shaded face. (b) What is the total flux through the six faces? Part 1 of 4 - Conceptualize For the flux through the shaded face of the cube, we estimate a value on the order of 10-4 T - m2. For the total flux through the six faces, we estimate zero flux due to the uniformity of the field and the fact that the cube is a closed surface. Part 2 of 4 - Categorize We will use the definition of magnetic flux. Part 3 of 4 - Analyze The flux is defined as dg = B - A, so we have the following. PB = BXAX + ByAy + BZAZ (a) The area of the shaded square is in the yz plane, so it is an x component of the area. For this component, Ay = Az = 0, we have OB = ByAx (No Response) 4.6 T)( (No Response) m) = (No Response) 2.03 х 10-3 т- m2, Part 4 of 4 - Analyze (b) For a closed surface, we have B - B = 0 so the total flux through the six faces of the cube is OB = T:m². Submit Skip (you cannot come back)
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