The electric field equation for a hollow cylinder is given by E = λ/(2πε₀r), where λ is the linear charge density, ε₀ is the permittivity of free space, and r is the distance from the center of the cylinder.
Inside the hollow cylinder, the electric field is zero as there is no charge enclosed within the Gaussian surface. Outside the cylinder, the electric field is given by E = (λr)/(2πε₀R³), where R is the radius of the cylinder.
The electric field equation for a hollow cylinder assumes a uniform linear charge density along its length. If the charge distribution is different, the electric field will also be different and can be calculated using the appropriate equation for that charge distribution.
No, the electric field inside a hollow cylinder will always be zero as there is no net charge enclosed within the Gaussian surface, regardless of the charge distribution on the surface of the cylinder.
The electric field inside a hollow cylinder is inversely proportional to the radius of the cylinder. As the radius increases, the electric field decreases and vice versa.