The spherically symmetric charge outside the radius r does not affect the electric field at r. It follows that inside a spherical shell of charge, you would have zero electric field.
How does radius affect electric flux?
– The total electric flux through any closed surface is proportional to the total electric charge inside the surface. Point Charge Inside a Spherical Surface: – The flux is independent of the radius R of the sphere.
How does radius affect charge?
You can see that the surface charge and therefore the surface charge density and radius are inversely related, so a smaller radius (sharp point in the extreme case) has a higher charge density.
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 …
Does charge depend on radius?
A sphere of charges of radius R carries a positive charge whose volume charge density depends only on the distance r from the ball’s centre as rho=rho_0(1-r/R), where rho_0 is constant. Assume epsilon as the permittivity of space.
Which does not affect electric flux?
It is important to note that while the electric flux is not affected by charges that are not within the closed surface, the net electric field, E, in the Gauss’ Law equation, can be affected by charges that lie outside the closed surface. … Thus, the SI base units of electric flux are kg·m3·s−3·A−1.
What happens to electric flux as area increases?
Explanation: Electric flux density is the charge per unit area. The expression for flux density is: D=Q/A. Electric flux is inversely proportional to area, hence an area increases, electric flux decreases.
Does adding electrons increase radius?
The gain of an electron adds more electrons to the outermost shell which increases the radius because there are now more electrons further away from the nucleus and there are more electrons to pull towards the nucleus so the pull becomes slightly weaker than of the neutral atom and causes an increase in atomic radius.
What is the relationship between electron affinity and atomic radius?
A smaller atomic radius means that the electron is close to the nucleus, thereby increasing the attraction between the nucleus and the electron. This results in a higher electron affinity. Some exceptions to this trend are noble gases, which have very low electron affinities.
What happens when the atomic radius increases?
Atomic radius is the distance from the atom’s nucleus to the outer edge of the electron cloud. In general, atomic radius decreases across a period and increases down a group. … Down a group, the number of energy levels (n) increases, so there is a greater distance between the nucleus and the outermost orbital.
How does flux change with distance?
If the distance Δx is very small, then the flux is huge. As the distance increases, flux falls off quickly. With a big value of Δx, flux is almost 0 (although it never quite reaches zero).
Does electric flux depend on geometry?
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.
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.
How does surface charge density depend on curvature and radius of curvature of a body?
We mathematically prove that surface charge density of a conductor at a particular region on its surface is inversely proportional to the radius of curvature at that region using 2 spheres. This means that the smaller sphere has the greater charge density (for a given potential).
Does the charge given to metallic sphere depend on whether it is hollow or solid?
No, the charge given to a metallic sphere does not depend on whether it is hollow or solid because all the charge given to both the spheres will appear on the outer surface of the spheres.
Why should electrostatic field be 0 inside a conductor?
The electrostatic field should be zero inside a conductor because in a conductor, the charges are present on the surface. Therefore, the charge inside should be zero. Also, according to the Gauss theorem, the electrostatic field is zero.