What is a Gaussian surface?A point charge of 2.0mueC at the centre of a cubic Gaussian surface 9.0cm on edge.What is the net electric flux through the surface?
a gaussian surface is any surface which enclose a charge. In this case, it is six sides. You have a neat theorem from Maxwell, that tells you the net flux is equal to the charge enclosed, divided by permitivity.
Gauss's Law. 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.
so net flux is the point charge/permitivity. The size of the cube does not matter.
The total electric flux linked with closed surface is equal one upon enot times the total inside surface
E propotinal one upon r square
A Gaussian surface is a hypothetical closed surface used in physics to calculate electric flux through it. It can be any shape, but it is often chosen to be a shape that simplifies the calculation of the electric field and flux. In this case, the Gaussian surface is a cubic surface.
To calculate the net electric flux through the Gaussian surface, we can use Gauss's Law. Gauss's Law states that the flux through a closed surface is directly proportional to the charge enclosed by the surface.
In this case, the charge enclosed by the Gaussian surface is a point charge of +2.0 μC (microCoulombs) at the center of the cubic surface. The Gaussian surface has an edge length of 9.0 cm.
To calculate the net electric flux, we can use the formula:
Flux = (Electric field) x (Area)
Since the electric field inside a uniformly charged cube is constant, we can calculate the electric field at any point inside the cube using the formula:
Electric field = Charge / (4πε₀r²)
Where:
- Charge is the charge enclosed by the Gaussian surface (2.0 μC in this case)
- π is pi (approximately equal to 3.14159)
- ε₀ is the permittivity of free space (approximately equal to 8.854 x 10⁻¹² C²/Nm²)
- r is the distance from the charge to any point inside the cubic surface
To calculate the net electric flux, we need to determine the electric field at any point inside the cube using the given information.