A cube of edge length e = below. A uniform magnetic field given by B = (6.3 î + 4.0 ĵ + 3.0 k) T exists throughout the region. 1.20 cm is positioned as shown in the figure (a) Calculate the magnetic flux through the shaded face. mWb (b) What is the total flux through the six faces? mWb

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Magnetic Fields
Section: Chapter Questions
Problem 41AP
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**Magnetic Flux Problem**

A cube of edge length \( \ell = 1.20 \) cm is positioned as shown in the diagram below. A uniform magnetic field given by \( \vec{B} = (6.3 \, \hat{i} + 4.0 \, \hat{j} + 3.0 \, \hat{k}) \) T exists throughout the region.

**Diagram Description:**

The diagram shows a cube placed in a 3D coordinate system with axes labeled \( x \), \( y \), and \( z \). The cube has an edge length \( \ell \). A magnetic field vector \( \vec{B} \) is depicted pointing diagonally in the \( x \), \( y \), and \( z \) directions.

**Questions:**

(a) Calculate the magnetic flux through the shaded face.

[Input box] mWb

(b) What is the total flux through the six faces?

[Input box] mWb

**Need Help?** [Master It]
Transcribed Image Text:**Magnetic Flux Problem** A cube of edge length \( \ell = 1.20 \) cm is positioned as shown in the diagram below. A uniform magnetic field given by \( \vec{B} = (6.3 \, \hat{i} + 4.0 \, \hat{j} + 3.0 \, \hat{k}) \) T exists throughout the region. **Diagram Description:** The diagram shows a cube placed in a 3D coordinate system with axes labeled \( x \), \( y \), and \( z \). The cube has an edge length \( \ell \). A magnetic field vector \( \vec{B} \) is depicted pointing diagonally in the \( x \), \( y \), and \( z \) directions. **Questions:** (a) Calculate the magnetic flux through the shaded face. [Input box] mWb (b) What is the total flux through the six faces? [Input box] mWb **Need Help?** [Master It]
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