Question: Why is electric flux independent of radius?

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 …

Is electric flux independent of radius?

Gauss’s Law

Point Charge Inside a Spherical Surface: – The flux is independent of the radius R of the sphere.

Why is electric flux independent of distance?

b) Gauss’s theorem states that the total electric flux through a closed surface is equal to times the net charge enclosed by the surface. … Thus, electric field strength due to an infinite flat sheet of charge is independent of the distance of the point and is directed normally away from the charge.

How does electric flux affected when radius is increased?

Since, on increasing the radius of the Gaussian surface, charge q remains unchanged, the flux through the spherical Gaussian surface will not be affected when its radius is increased.

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Why does flux not depend on shape?

As per the Guess theorem in electrostatics, electric flux does not depend on the shape or size of the surface. The electric flux depends only on the charge enclosed by the surface.

Does electric flux depend on distance?

The magnitude of the electric field everywhere is the same, because the distance from the charge is the same at each point, so we can pull that out of the integral, and we’re left with EA. … The flux doesn’t depend on the distance r.

How is electric flux related to Gauss law?

Gauss’s law, also known as Gauss’s flux theorem, is a law relating the distribution of electric charge to the resulting electric field. … In words, Gauss’s law states that: The net outward normal electric flux through any closed surface is proportional to the total electric charge enclosed within that closed surface.

Why is electric field independent of test charge?

The Coulomb force field is thus not unique at any point in space, because it depends on the test charges q1 and q2 as well as the charge Q. … The electric field is thus seen to depend only on the charge Q and the distance r; it is completely independent of the test charge q.

Is flux independent of shape?

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.

What does flux depend on?

Flux is the amount of “something” (electric field, bananas, whatever you want) passing through a surface. The total flux depends on strength of the field, the size of the surface it passes through, and their orientation.

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How does the electric flux electric field enclosing a given charge varies when the area enclosed by the charge is doubled?

How does the electric flux, electric field enclosing a given charge vary when the area enclosed by the charge is doubled? thus doubling the area will double the flux. But in the case given in question ,the guassian surface area enclosing the charge is doubled then in such a case the flux will remain unchanged.

What does Gauss theorem state?

Gauss theorem states that the net electric flux through a closed surface is equal to the total or net charge enclosed by the closed surface divided by the permittivity of the medium.

Why do electric field lines never cross each other?

Electric field lines always point in one direction, at any point. When two lines intersect each other, tangents are drawn at that point indicating two directions of electric field lines, which is impossible therefore electric field lines cannot cross over each other.