Is the electric field E →E in Gauss's law only the electric field due to the charge inside the G

Name: Problem 17, Chapter 16: College Physics
Uploaded: 2021-08-10T11:03:31-08:00
Duration: 1 min 30 s
Channel: Prabhu Ramji
Description: Is the electric field E →E in Gauss's law only the electric field due to the charge inside the Gaussian surface, or is it the total electric field due to all charges both inside and outside the surface? Explain your answer. SSM

step 1 This problem covers the concept of the cause law which says the dot product of the electric fiel

Question

Is the electric field $\mathrm{E} \rightarrow \overrightarrow{\boldsymbol{E}}$ in Gauss's law only the electric field due to the charge inside the Gaussian surface, or is it the total electric field due to all charges both inside and outside the surface? Explain your answer. SSM

    Is the electric field $\mathrm{E} \rightarrow \overrightarrow{\boldsymbol{E}}$ in Gauss's law only the electric field due to the charge inside the Gaussian surface, or is it the total electric field due to all charges both inside and outside the surface? Explain your answer. SSM

College Physics

Roger A. Freedman;… 2nd Edition

Chapter 16, Problem 17

Instant Answer

Solved by Expert Prabhu Ramji

08/10/2021

Step 1

Gauss's law states that the total electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space. Mathematically, it is represented as: \[\oint \vec{E} \cdot d\vec{A} = \frac{Q_{\text{enc}}}{\varepsilon_0}\] Show more…

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Is the electric field $\mathrm{E} \rightarrow \overrightarrow{\boldsymbol{E}}$ in Gauss's law only the electric field due to the charge inside the Gaussian surface, or is it the total electric field due to all charges both inside and outside the surface? Explain your answer. SSM

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Key Concepts

Electric Field

The electric field is a vector field that describes the force a charge would experience at any point in space. In the context of Gauss's law, the electric field used in the surface integral is the total field produced by all charges, both those inside and those outside the Gaussian surface.

Gaussian Surface

A Gaussian surface is an imaginary closed surface selected based on symmetry to simplify calculations of electric flux. When applying Gauss's law, while the total electric field (from all charges) is considered, only the charges inside the surface contribute to the net flux through that surface.

Gauss's Law

Gauss's Law is one of Maxwell's equations that relates the net flux of an electric field through a closed surface to the total charge enclosed within that surface. It states that the surface integral of the electric field over a closed surface is proportional to the enclosed charge, irrespective of charges outside the surface.

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