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The formula for the electric field of a half spherical shell is given by E = (Q/4πε_{0}) * (sinθ_{2} - sinθ_{1}), where Q is the charge of the shell, ε_{0} is the permittivity of free space, θ_{1} is the angle at the center of the shell, and θ_{2} is the angle on the surface of the shell.
The electric field of a half spherical shell is only present on one side of the shell, while the electric field of a full spherical shell is present on both sides. Additionally, the electric field of a half spherical shell is only dependent on the angle at the center and on the surface of the shell, while the electric field of a full spherical shell is dependent on the distance from the center.
The direction of the electric field of a half spherical shell is always perpendicular to the surface of the shell. This means that the electric field lines will be directed away from the shell on one side and towards the shell on the other side.
The charge distribution of the half spherical shell affects the electric field by determining the strength of the electric field at different angles on the surface of the shell. If the charge is evenly distributed, the electric field will be constant at all angles. However, if the charge is unevenly distributed, the electric field will be stronger at certain angles and weaker at others.
Yes, the electric field of a half spherical shell can be calculated using Gauss's law. This law states that the electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of free space. By applying this law to a half spherical shell, the electric field can be calculated using the formula E = (Q/4πε_{0}) * (sinθ_{2} - sinθ_{1}).