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 .
Why is flux through a sphere 0?
Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero.
How do you calculate electric flux?
Know the formula for electric flux.
- The Electric Flux through a surface A is equal to the dot product of the electric field and area vectors E and A.
- The dot product of two vectors is equal to the product of their respective magnitudes multiplied by the cosine of the angle between them.
What is a sphere in math?
sphere, In geometry, the set of all points in three-dimensional space lying the same distance (the radius) from a given point (the centre), or the result of rotating a circle about one of its diameters.
What is meant by electric flux?
electric flux, property of an electric field that may be thought of as the number of electric lines of force (or electric field lines) that intersect a given area. … The negative flux just equals in magnitude the positive flux, so that the net, or total, electric flux is zero.
What is the electric flux φ through each of the six faces of the cube?
The electric flux Φ through each of the six faces of the cube is (q/6ε). B. Flux is independent of the dimension of an imaginary Gaussian surface. The flux Φ1 through a face of the cube if its sides were of length L1 is Φ1 = (q/6ε).
What is the normal vector of a sphere?
Sphere with outward normal vector. The sphere of a fixed radius R is parametrized by Φ(θ,ϕ)=(Rsinϕcosθ,Rsinϕsinθ,Rcosϕ) for 0≤θ≤2π and 0≤ϕ≤π. In this case, we have chosen the outward pointing normal vector n=(sinϕcosθ,sinϕsinθ,cosϕ), orienting the surface so the outside is the positive side.
What is the electric flux through the top surface of the cube?
What is the electric flux through the top surface of the cube? The electric flux through the other faces is zero, since the electric field is perpendicular to the normal vectors of those faces.
What is electric flux calculate the flux from a closed surface?
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.