Answer 3: Zero. The field lines around the two charged objects inside the Gaussian surface are the field lines associated with a dipole, so the charge enclosed in the G i f i Gaussian surface is zero. Therefore the electric flux on the surface is zero.
What is the total flux through the spherical surface?
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 sphere?
Considering a Gaussian surface in the form of a sphere at radius r > R, the electric field has the same magnitude at every point of the surface and is directed outward. The electric flux is then just the electric field times the area of the spherical surface.
How do you calculate total electric flux?
The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.
Does electric flux depend on area?
The numerical value of the electric flux depends on the magnitudes of the electric field and the area, as well as the relative orientation of the area with respect to the direction of the electric field. … , demonstrating that electric flux is a measure of the number of field lines crossing a surface.
Why is there no electric field inside a charged sphere?
To find field inside the hollow sphere we can take take Gaussian surfaces with radii ranging from R=0 to R=r. Any of these surfaces the charge enclosed is zero and hence field at all the points on these surfaces is zero. Thus, electric field in side a hollow sphere of conductor is zero.
Why is the electric field inside a sphere zero?
It follows that: The electric field immediately above the surface of a conductor is directed normal to that surface. … Now, the gaussian surface encloses no charge, since all of the charge lies on the shell, so it follows from Gauss’ law, and symmetry, that the electric field inside the shell is zero.
Can you have negative flux?
The negative flux just equals in magnitude the positive flux, so that the net, or total, electric flux is zero. If a net charge is contained inside a closed surface, the total flux through the surface is proportional to the enclosed charge, positive if it is positive, negative if it is negative.
Is electric flux A vector quantity?
It is a dot product of electric field vector (vector E) and area vector (vector ds). As it is a dot product. So, electric flux is a scalar quantity.
What is the difference between electric flux and electric field?
Electric field is the electric strength at the point due to charge (q). Electric flux is the imaginary field lines produced from +q and terminated at -q charges. Electric flux density is the field lines produced across the unit encircled area. Electric flux is the integral of electric flux density over a surface.
What is flux density formula?
Flux density is simply the total flux divided by the cross sectional area of the part through which it flows – B = Φ / Ae teslas. Thus 1 weber per square metre = 1 tesla. Flux density is related to field strength via the permeability. B = μ × H.
What is the magnitude of an electric field?
The magnitude of the electric field is simply defined as the force per charge on the test charge. The standard metric units on electric field strength arise from its definition.