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ebru
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I don't know how to do that.vanhees71 said:Solve for the Green's function of the spherical conducting shell (it can only be a shell, because otherwise there cannot be any non-vanishing charge distribution inside in the static case) and then do the integral to get the em. field inside and outside the shell.
A line charge inside a conducting sphere refers to a charged line or wire that is placed inside a hollow, conductive sphere. The line charge can be either positive or negative, and it creates an electric field within the sphere.
The presence of a line charge inside a conducting sphere creates a non-uniform electric field within the sphere. The electric field is stronger near the line charge and weaker towards the edges of the sphere.
The equation for the electric field inside a conducting sphere with a line charge is given by E = (λ/4πε_{0}r) * (1 - (a/r)), where λ is the charge per unit length of the line charge, ε_{0} is the permittivity of free space, r is the distance from the center of the sphere, and a is the radius of the line charge.
The electric potential inside a conducting sphere with a line charge is constant and equal to the potential at the surface of the sphere. This is because the electric field inside the sphere is perpendicular to the surface, and therefore, no work is done in moving a charge along a path within the sphere.
In practical applications, a line charge inside a conducting sphere can be used to create a non-uniform electric field, which can be useful in various experiments and devices such as particle accelerators and ion traps. It can also be used to study the behavior of electric fields in non-uniform systems.