It's the same except for one important detail: What is the sign of the charge on the surface of the hollow?jaguar7 said:A right solid conducting cylinder has a total charge of +5.10 mC. Inside the cylinder a charge q = -1.55 mC rests at the center of a hollow sphere as shown in the diagram below. What is the charge on the surface of the hollow sphere?
The Attempt at a Solution
shouldn't it just be the charge of the point charge in the center? The cylinder is outside the spherical shell, so the charge doesn't effect it?
The electric field at any point outside the spherical shell is given by the equation E = kq/r^2, where k is the Coulomb's constant, q is the magnitude of the point charge inside the shell, and r is the distance from the center of the shell to the point.
The presence of the point charge inside the spherical shell does not affect the charge on the surface of the shell. The total charge on the surface remains the same, regardless of the presence or location of the point charge inside.
Yes, the electric field inside the spherical shell is zero. This is because the electric field inside a conductor is always zero, and the spherical shell is a type of conductor.
The charge distribution on the surface of the spherical shell remains the same regardless of the location of the point charge inside. This is because the charge is uniformly distributed on the surface of the shell, and the total charge remains constant.
The charge on the surface of the spherical shell is important in determining the electric field at any point outside the shell due to the point charge inside. It also plays a role in determining the potential energy of the system and the force exerted on the point charge by the shell.