A cube of edge length \( \ell = 4.40 \, \text{cm} \) is positioned as shown in the figure below. A uniform magnetic field given by \( \vec{B} = (5.7 \, \hat{\imath} + 4.0 \, \hat{\jmath} + 3.0 \, \hat{k}) \, \text{T} \) exists throughout the region.**Diagram Description:**The diagram shows a cube placed in a three-dimensional Cartesian coordinate system (x, y, z). Each side of the cube has a length \( \ell \). The magnetic field \( \vec{B} \) is represented by arrows passing through the top face of the cube.**Questions:**(a) Calculate the magnetic flux through the shaded face. \[ \text{mWb} \] (milliwWebers)(b) What is the total flux through the six faces? \[ \text{mWb} \] (milliWebers)

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A cube of edge length = 4.40 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (5.7 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. B B i (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

A cube of edge length = 4.40 cm is positioned as shown in the figure below. A uniform magnetic field given by B = (5.7 î+ 4.0 ĵ + 3.0 k) T exists throughout the region. B B i (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

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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A cube of edge length \( \ell = 4.40 \, \text{cm} \) is positioned as shown in the figure below. A uniform magnetic field given by \( \vec{B} = (5.7 \, \hat{\imath} + 4.0 \, \hat{\jmath} + 3.0 \, \hat{k}) \, \text{T} \) exists throughout the region.

**Diagram Description:**

The diagram shows a cube placed in a three-dimensional Cartesian coordinate system (x, y, z). Each side of the cube has a length \( \ell \). The magnetic field \( \vec{B} \) is represented by arrows passing through the top face of the cube.

**Questions:**

(a) Calculate the magnetic flux through the shaded face.
\[ \text{mWb} \] (milliwWebers)

(b) What is the total flux through the six faces?
\[ \text{mWb} \] (milliWebers)

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