Electric Field and Flux

The electric field is a vector quantity that describes the force experienced by a charged particle in the presence of other charges. It is defined as the force per unit charge. The electric field intensity, also known as electric field strength, represents the magnitude of the electric field.

The flux of an electric field is a measure of the electric field passing through a given surface. It represents the total number of electric field lines passing through the surface. The flux depends on the magnitude and direction of the electric field and the area of the surface.

Given Information

- Electric field intensity (E) = 100 N/C
- Square length (L) = 10 cm

Calculating the Flux

The flux of an electric field passing through a surface is given by the formula:

Flux (Φ) = E * A * cos(θ)

Where:
- Φ is the flux
- E is the electric field intensity
- A is the area of the surface
- θ is the angle between the electric field and the normal to the surface

In this case, the electric field is in the Z-direction, and the square is placed in the YZ plane. Since the electric field is perpendicular to the plane, the angle between the electric field and the normal to the surface is 90 degrees, and cos(90) = 0.

Therefore, the flux passing through the square is:

Φ = E * A * cos(θ) = 100 N/C * (10 cm)^2 * 0 = 0 N·m²/C

Explanation

The flux passing through the square is zero because the electric field is perpendicular to the surface. This means that none of the electric field lines pass through the square. The flux would only be non-zero if the surface was inclined with respect to the electric field.

It's important to note that the units of flux are N·m²/C, which is equivalent to volts. The flux is a measure of the electric potential difference across the surface. In this case, since the flux is zero, there is no electric potential difference across the square.

Summary

The flux of the electric field passing through the square of 10 cm length placed in the YZ plane, with an electric field intensity of 100 N/C in the Z-direction, is zero. This is because the electric field is perpendicular to the surface, resulting in no electric field lines passing through the square.