What is the electric flux through the surface of a sphere due to a point charge of 1c 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.
What is the electric field inside a hollow conducting sphere with charge q on its surface?
Gauss’ law tells us that the electric field inside the sphere is zero, and the electric field outside the sphere is the same as the field from a point charge with a net charge of Q. This result is true for a solid or hollow sphere. So we can say: The electric field is zero inside a conducting sphere.
What is the electric flux through a sphere?
Being a scalar quantity, the total flux through the sphere will be equal to the algebraic sum of all these flux i.e. This expression shows that the total flux through the sphere is 1/eO times the charge enclosed (q) in the sphere. The total flux through closed sphere is independent of the radius of sphere .
What is the electric flux through the upper face of the box?
positive
The electric flux through the top face (FGHK) is positive, because the electric field and the normal are in the same direction. The electric flux through the other faces is zero, since the electric field is perpendicular to the normal vectors of those faces.
What is the value of point charge?
If the radius of the Gaussian surface is doubled, then the flux passing through the surface remains the same i.e., −103 N m2/C. Therefore, the value of the point charge is −8.854 nC.
When a negative charge is placed at the center of the sphere then the direction of electric field on the Gaussian surface is?
The direction of electric field on any point at the surface of the sphere is. When a negative charge is placed at the centre of the non-conducting sphere. The direction of electric field on any point at the surface of the sphere is radially inward, as shown in the figure.
What is the field inside a hollow sphere?
If we assume any hypothetical sphere inside the charged sphere, there will be no net charge inside the Gaussian surface . So, Σq = 0 . So, the net flux φ = 0. So, the electric field inside a hollow sphere is zero.
What is the electric field inside a hollow conductor?
Inside a conductor, electric field is zero. The interior of a conductor can have no excess charge in static situation. Electric field just outside a charged conductor is perpendicular to the surface at every point.
What is the electric field inside a charged sphere?
What is the electric field inside a sphere?
Note: Since this is a solid sphere , it has charge inside it as well and that is why the electric field is non zero. In case of a hollow spherical shell, the electric field inside the shell is zero .
What is the electric flux through each face if a charge Q is present in the edge of a cube?
So, through each cube, net flux is: which is equal to F. So, we arrive at the conclusion that, for the original problem geometry, where a charge q was placed at one corner of the cube, the net flux through each of the faces marked by 1,2 and 3, is F/3=q/24episilon0.
What is the electric flux through one face of the cube?
The flux through the surface of this cube is just q/ϵ0 by Gauss’s Law since it is a closed surface containing the charge. Now imagine dividing each face of this larger cube into four squares of side length ℓ.
What is the charge of a spherical conductor?
Any charge placed inside hallow spherical conductor attracts opposite charge from sphere. That means, lets say sphere is neutral and charge inside is positive and sphere thickness is ‘t’. Now this positive charge attracts equal negative charge. Since sphere is neutral an equal and opposite positive charge appears on outer surface of sphere.
What is the net charge of a solid sphere?
Thus, the net charge inside a conductor Σq = 0. Thus , if +q charge is given to a solid sphere, it will be distributed equally throughout the surface of the sphere . There will be no charge inside the sphere. So the electric fields will be the same as the hollow sphere.
What is the flux through the surface of a sphere?
The inside flux will exist between point charge and inner surface of sphere. The outside flux will exist between outer surface of sphere and earth. Assuming a gaussian surface over the sphere the flux through the sphere would be [1/8.8 x 10^ (-12)] times the charge enclosed by the sphere.
What is the electric field at the center of a sphere?
This expression is the same as that of a point charge. It is as if the entire charge is concentrated at the center of the sphere. On the surface of the conductor , where R = r , the electric field is : If we assume any hypothetical sphere inside the charged sphere, there will be no net charge inside the Gaussian surface . So, Σq = 0 .