Here ya go. Tutorial ExerciseA cube of edge length { = 2.10 cm is positioned as shown in the figure below. A uniform magnetic field givenby 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 - ConceptualizeFor the flux through the shaded face of the cube, we estimate a value on the order of 10-4 T - m2. For thetotal flux through the six faces, we estimate zero flux due to the uniformity of the field and the fact that thecube is a closed surface.Part 2 of 4 - CategorizeWe will use the definition of magnetic flux.Part 3 of 4 - AnalyzeThe 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 haveOB = 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 haveB - B = 0so the total flux through the six faces of the cube isOB =T:m².Submit Skip (you cannot come back)

l = 2.1 cm B = ( 4.6i + 4j + 3k ) Φ = B . dA Φ = B . l² i [ shaded surface is in X direction ]…

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?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter24: Magnetic Fields

Section: Chapter Questions

Problem 98A

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Concept explainers

Bar Magnet

In physics, magnetism is a phenomenon exhibited by a magnetic substance that exerts either attractive or repulsive force. A bar magnet is either a rectangular or round and hollow fit comprised of ferromagnetic materials and has a fanciful attractive field surrounded by it.

Question

Here ya go.

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.
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