3. A Gaussian surface is a closed surface in three-dimensional space through which the electric flux is calculated. Given a spherical Gaussian surface that has a radius of 0.5 meters and encloses 30 electrons. A. Find the value of the electric flux through this surface B. From the calculated value of the electric flux, determine the value of the electric field at a distance equal to 0.6 meters from the center of the surface.

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Gauss Law. Please use the formula I added.

3. A Gaussian surface is a closed surface in three-dimensional space through which
the electric flux is calculated. Given a spherical Gaussian surface that has a
radius of 0.5 meters and encloses 30 electrons.
A. Find the value of the electric flux through this surface
B. From the calculated value of the electric flux, determine the value of the
electric field at a distance equal to 0.6 meters from the center of the surface.
Transcribed Image Text:3. A Gaussian surface is a closed surface in three-dimensional space through which the electric flux is calculated. Given a spherical Gaussian surface that has a radius of 0.5 meters and encloses 30 electrons. A. Find the value of the electric flux through this surface B. From the calculated value of the electric flux, determine the value of the electric field at a distance equal to 0.6 meters from the center of the surface.
Gauss' Law describes the relationship between a charge distribution and the electric field it produces. This law was
formulated by the Geman mathematician and physicist Carl Friedrich Gauss (1777-1855). In presenting Gauss' law,
it will be necessary to introduce a new idea called electric flux. The idea of flux involves both the electric field and
the surface through which it passes. By bringing together the electric field and the surface through which it passes,
we will be able to define electric flux and then present Gauss' law.
> E= where k=-
> Hypothetical closed surface, Gaussian surface
> For a spherical surface, A= 4r?, E= -
permittivity if free space
4Cor2
Normal
E=
E cos
4R€Or2
€04ar2
Gauss' Law for Point Charge
E=
A€0
A
> E= 4
EA= 4
Electric flux DE
A€0
In general, surface - arbitrary shape but closed; Eneta
Not necessarily I to the Gaussian surface; magnitude
Need not be constant (vary from point to point)
Charge
distribution
DE = I (Enats-) AA= E (E cosØ) AA
Gaussian
surface
Transcribed Image Text:Gauss' Law describes the relationship between a charge distribution and the electric field it produces. This law was formulated by the Geman mathematician and physicist Carl Friedrich Gauss (1777-1855). In presenting Gauss' law, it will be necessary to introduce a new idea called electric flux. The idea of flux involves both the electric field and the surface through which it passes. By bringing together the electric field and the surface through which it passes, we will be able to define electric flux and then present Gauss' law. > E= where k=- > Hypothetical closed surface, Gaussian surface > For a spherical surface, A= 4r?, E= - permittivity if free space 4Cor2 Normal E= E cos 4R€Or2 €04ar2 Gauss' Law for Point Charge E= A€0 A > E= 4 EA= 4 Electric flux DE A€0 In general, surface - arbitrary shape but closed; Eneta Not necessarily I to the Gaussian surface; magnitude Need not be constant (vary from point to point) Charge distribution DE = I (Enats-) AA= E (E cosØ) AA Gaussian surface
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