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Why electric flux does not depend on radius?

Why electric flux does not depend on radius?

If the radius of the spherical Gaussian surface is doubled, the surface area will increase by 4 times. On the other hand, the electric field at all​ points on the bigger surface will decrease by a factor of 4. Hence the flux through the surface remains the same.

What is the electric flux through the surface of sphere due to a point charge lying outside it?

Answer: Zero. Explanation: According to gauss law, the net flux passing through a surface is proportional to the charge enclosed within the surface.

Why is the electric flux through a closed surface with a given enclosed charge is independent of the size or shape of the surface?

The net electric flux through a closed surface is independent of the shape or size of the surface. This is a consequence of Gauss’s law.

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What does the electric flux through a surface depend on?

Gauss’s law states that net electric flux diverging normally from a closed surface is equal to 1/Eo times the net charge enclosed by the surface that is the electric flux through a closed surface , just depends on the net charge enclosed in the surface and does not depend the shape or size of the surface.

Does electric flux depend upon radius?

If the charge is halved then the flux becomes halved. Here it does not depend on the radius of the Gaussian surface. And the net charge enclosed the surface is also the same. The outward electric flux is independent of the distribution of the charges and separation between them inside the closed surface.

Why electric flux through a sphere is zero?

The flux due to the field lines entering is cancelled out by that of the field lines leaving. (because they have opposite signs.) This is why the flux due to external charges is zero.

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What is electric flux through a sphere?

Electric Field of Point Charge Considering a Gaussian surface in the form of a sphere at radius r, the electric field has the same magnitude at every point of the sphere and is directed outward. The electric flux is then just the electric field times the area of the sphere.

What is the flux not depend on?

According to gauss law electric flux does not depend on the shape of the object. Complete step by step answer: The concept of flux describes how much of something goes through a given area. More formally, it is the dot product of a vector field with an area.

Why does flux not depend on shape?

The electric flux through a closed surface (see Gauss’s Law ), such as a sphere, is independent of area because as the closed surface becomes larger the electric field will become weaker but applied over a larger area, but the resulting electric flux will be the same as the electric flux through a smaller closed …