Answered: The figure shows a flat sheet with a…

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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Question

The figure shows a flat sheet with a surface charge density σ =2.1 ×10⁻⁹ C/m². A closed cubical surface (with sides L =4.5 m) encloses a part of the sheet (shaded in gray). What is the total electric flux through the sides of the cube?
(a) 2.403×10³ N/(C m²)
(b) 0.000 N/(C m²)
(c) 1.081×10⁴ N/(C m²)
(d) 2.162×10⁴ N/(C m²)
(e) 4.805×10³ N/(C m²)

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Expert Solution

Step 1

Given:

The charge density σ =2.1 ×10⁻⁹ C/m².

The side is L =4.5 m.

The expression for flux through side of the cube is:

$ϕ = \frac{1}{2} (\frac{q}{ε_{o}}) ϕ = \frac{1}{2} (\frac{σ L^{2}}{ε_{o}})$

Here, $ε_{o}$ is the permittivity constant whose value is 8.854X10^-12 C²/Nm².

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