A positive charge Q is located at the origin....

In summary, the conversation discussed finding the total electric flux passing through a given square surface parallel to the y-z plane, with a positive charge Q at the origin of a three-dimensional coordinate system. The formula for electric flux was mentioned as Flux= E*A, and the result was calculated as Flux= σʹ/2€*L^2. There was also a question about finding the radius of a sphere with an inscribed cube, and it was determined to be √2 L with a surface area of 8*π*L^2. The use of Gauss' Law to calculate the total flux was mentioned, along with the idea of using a closed surface around the point charge that included the specified square area.
  • #1
GaussianSurface
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Hi, I've been doing this excersice but I'm not quite sure about my answer
It says: A positive charge Q is located at the origin of a three-dimensional coordinate system. Consider and imaginary square surface of side length L and parallel to the plane y-z, as is shown in the figure. Find the total electric flux passing through the Area A.

Well, as the formula of electric flux is Flux= E*A I think that given it's a infinite plane it should be E= σʹ/2€ and the area of a square A= L^2.
Then the result should be this Flux= σʹ/2€*L^2?
 

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  • #2
Can you find the radius of a sphere with an inscribed cube with sides 2L?
 
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  • #3
the radius of the sphere is √2 L
the surface of the sphere is 8*π*L^2
 
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  • #4
You really don't need the sphere, but it may help to illustrate the symmetry involved.
You know the total flux from Gauss' Law.
Then, what fraction of that flux passes thru the specified surface.
 
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  • #5
Following @J Hann , imagine a square of side 2L as shown. The area A that you are interested in is shaded.

upload_2017-8-15_16-21-25.png


Construct a closed surface around the point charge that uses this large square as part of the total closed surface.
 
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1. What is the concept of electric charge?

Electric charge is a fundamental property of matter that describes the amount of electricity present in an object. It can be positive or negative and is measured in Coulombs (C).

2. How is the strength of an electric charge determined?

The strength of an electric charge is determined by the amount of charge present, measured in Coulombs, and the distance from the source of the charge. The farther away an object is from the charge, the weaker the electric field will be.

3. What is the significance of a positive charge being located at the origin?

The origin is the point where the x, y, and z coordinates all equal zero in a three-dimensional coordinate system. When a positive charge is located at the origin, it means that the electric field is strongest at that point and decreases in strength as you move away from the origin.

4. How does a positive charge interact with other charges?

A positive charge will exert a repulsive force on another positive charge and an attractive force on a negative charge. The strength of the force depends on the amount of charge and the distance between the charges.

5. Can a positive charge exist on its own?

No, according to the law of conservation of charge, electric charge cannot be created or destroyed. This means that a positive charge must always be accompanied by an equal amount of negative charge.

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