Electric Flux through YZ plane midway between charges
Electric flux is defined as the total number of electric field lines passing through a given area. In the case of a dipole, the electric flux through the YZ plane can be calculated using Gauss's law.

Gauss's Law:
According to Gauss's law, the electric flux through a closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space (ε₀).

Electric Flux Calculation:
1. Consider a Gaussian surface in the form of a cylinder with its axis along the x-axis and passing through the YZ plane midway between the charges.
2. Since the electric field due to a dipole varies as 1/r³, the electric field at any point on the cylinder is perpendicular to the surface.
3. The total electric flux through the Gaussian surface is given by Φ = E * A, where E is the electric field and A is the area of the surface.
4. The electric field due to the dipole at the YZ plane can be calculated using the formula for the electric field of a dipole: E = (1/4πε₀) * (2p/d²), where p is the dipole moment and d is the distance between the charges.
5. The area of the YZ plane midway between the charges can be calculated as the product of the height (H) and the width (W) of the cylinder.
6. Finally, the electric flux through the YZ plane can be obtained by multiplying the electric field by the area of the surface.
By following these steps, you can accurately calculate the electric flux through the YZ plane midway between the charges of a dipole.