Question

What is the electric flux through the surface shown in the figure?

Answer 1

The electric flux through a surface is calculated using the surface integral of the electric field across the surface. The specific calculation depends on the charge distribution, the geometry of the surface, and its orientation relative to the electric field.

Step-by-step explanation:

To calculate the electric flux through a surface, we need to understand that it is proportional to the number of electric field lines crossing that surface. The electric flux Φ can be calculated as the surface integral of the electric field E over the surface S, which is mathematically represented as Φ = ∫ E · dA, where dA is the differential area vector perpendicular to the surface at each point. In the case of a closed surface like a cube placed between two charged plates, as shown in Figure 6.7, the charge distribution and the orientation of the surface with respect to the field must be taken into account when calculating the flux.

For a planar surface not perpendicular to the field, the flux Φ through the surface S2 with area A2 inclined at an angle θ is given by Φ = E A2 cos θ. When considering a Gaussian surface, as shown in Figure 6.17, the electric flux is the sum of the magnitudes due to the individual charged components enclosed by the surface, divided by the permittivity of free space ε0, without forgetting to apply the principle of superposition for superimposed electric fields.

Answer 2

The electric flux through the given surface is 1000 Nm²/C.

Step-by-step explanation:

The electric flux through a surface is calculated using the formula Φ = E * A, where Φ represents the flux, E represents the electric field, and A represents the area of the surface.

In this case, we are given that the electric field is E = 250 N/C. We are also given that the surface is a square with sides measuring 2.0 m. To find the area of the surface, we can multiply the length of one side by itself, which gives us A = 2.0 m * 2.0 m = 4.0 m².

By plugging in these values into the formula, we can calculate the electric flux as follows:

Φ = (250 N/C) * (4.0 m²) = 1000 Nm²/C.

Therefore, the electric flux through the given surface is 1000 Nm²/C.

Your question is incomplete, but most probably the full question was:

What is the electric flux through the surface shown in the figure (Figure 1) ? Assume that E=250N/C.