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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Transcribed Image Text:**Question:**
Which one of the following is not an expression for electric charge?
1. \(\int \sigma dA\)
*area*
2. \(\int \rho dV\)
*volume*
3. \(\varepsilon_0 \int \mathbf{E} \cdot d\mathbf{A}\)
*area*
4. \(\int \lambda dl\)
*line*
5. \(\int \mathbf{E} \cdot d\mathbf{A}\)
*area*
**Explanation of Options:**
1. \(\int \sigma dA\): Represents the integration of surface charge density (\(\sigma\)) over an area, which gives the total charge over that surface.
2. \(\int \rho dV\): Represents the integration of volume charge density (\(\rho\)) over a volume, resulting in the total charge in that volume.
3. \(\varepsilon_0 \int \mathbf{E} \cdot d\mathbf{A}\): Represents Gauss's law, which is related to the electric flux through a closed surface. It does not directly calculate charge without additional context or conditions.
4. \(\int \lambda dl\): Represents the integration of line charge density (\(\lambda\)) over a line, resulting in the total charge along that line.
5. \(\int \mathbf{E} \cdot d\mathbf{A}\): Represents the electric flux through an area and is part of Gauss's law. It does not directly express electric charge but relates to it under certain conditions.
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