Since the Electric field vanishes everywhere inside the volume of a good conductor, its value is zero everywhere on the Gaussian surface we have considered. So the surface integral is zero. This is the total charge induced on the inner surface.
What is the charge on the inner surface of the spherical shell?
* The electric field inside the conducting shell is zero. (B) There can be no net charge inside the conductor, therefore the inner surface of the shell must carry a net charge of -Q 1 , and the outer surface must carry the charge +Q 1 + Q 2 , so that the net charge on the shell equals Q 2 .
What is the surface charge density on the inner spherical surface?
The sphere carries an excess charge of -500 nC A point charge of +300 nC to present at the center. The surface charge density on the inner spherical surface to closest to zero . -6.0 times 10^-8 C/m^2 .
Why is charge on the surface of a conductor?
In all conductors, charges reside on the surface. The reason for this is that conductors have free electrons , that is, the electrons are loosely attached to the nucleus of the atoms in the conductors.
What is called Gaussian surface?
A Gaussian surface (sometimes abbreviated as G.S.) is a closed surface in three-dimensional space through which the flux of a vector field is calculated ; usually the gravitational field, the electric field, or magnetic field.
What is the charge density of the shell?
The charge density of the shell is ρ . an electric field of 0, so the only other contribution is the positive plane on the right, which is farther away than the plane in case A. “ “Because there are multiple charges around P in case B, the field is larger there.
How do you find the surface charge density of a shell?
‘ A conducting sphere shell with radius R is charged until the magnitude of the electric field just outside its surface is E. Then the surface charge density is σ = ε0 * E. ‘
What is the ratio of charge density at outer surface of inner and outer shells?
The ratio of the surface charge density of inner surface and outer surface is -4:1 . Hence, The ratio of the surface charge density of inner surface and outer surface is -4:1.
Why the charge inside a conductor is zero?
Due to a large number of electrons, the force of repulsion acting in between them is also very high. Hence in order to minimize the repulsion between electrons, the electrons move to the surface of the conductor . Hence we can say that the net charge inside the conductor is zero.
Can electric field inside a conductor be non zero?
The answer is NO. Electric field inside a conductor is always zero . Reason: The electricity conducting free electrons are only present on the external surface of the conductor. Resultantly, electric field is only present in the external surface of the conductor.
Where is the charge on a conductor?
1. The net electric charge of a conductor resides entirely on its surface . (The mutual repulsion of like charges from Coulomb’s Law demands that the charges be as far apart as possible, hence on the surface of the conductor.)
What are the properties of Gaussian surface?
- Uniform distribution of charge in an infinitely long line.
- Uniform distribution of charge in an infinite plane.
- Uniform distribution of charge on an infinitely long cylinder.
Why Gaussian surface is used?
Gaussian surface is an enclosed surface in a three dimensional space through which the flux of a vector field is calculated (gravitational field, the electric field, or magnetic field.) Gaussian surface helps evaluate the electric field intensity due to symmetric charge distribution .
Is Gaussian surface is real or imaginary?
Gaussian surface is a real or an imaginary surface such that the electric field intensity has a single fixed value at every point on the surface.
How much charge is on the outer surface of the large shell?
The total charge on the outer surface of the large shell is +2q . The total charge on the inner surface of the large shell is zero.
What is the formula of linear charge density?
Depending on how the charge is distributed, we will either consider the volume charge density ρ = dq dV , the surface charge density σ = dq dA , or the linear charge density λ = dq d A , where V, A and A stand for volume, area and length respectively.
