Question as written in textbook: "Figure 1 illustrates a nested arrangement of four cylindrical conductors (seen side-on in cross-section) in which the cylinders are separated by electrical insulators. A body carrying a charge of –Q is suspended in the smallest cylinder."
This results in the following charge distribution (answer from textbook):
(note, the charges are meant to be on the surface of the conductor)
My question: How does having insulators between the conducting cylinders affect the problem, and what (if anything) would be different about the answer shown in Figure 2 if the material marked insulator was replaced with a conductor?
My thought process:
I initially thought the insulator would result in only the inside cylinder (separated from the charged sphere without any insulators in the way) becoming charged, and the insulator that separates the first cylinder from the second would stop any polarization of the second cylinder. But due to the answer shown in Figure 2, this is not the case.
If I replaced the conducting cylinders and insulators with one big conductor, I would get the same result as Figure 2.
The insulator behaves as per the image below: But is this any different to how a conductor would behave (i.e. if the insulator in the question was replaced with a conductor?)
- The picture shows for the conductor the side near the negative charge will become positive, and the side opposite the negative charge will become positive.
- Similarly, for the insulator, the side near the negative charge will become positive, and the side opposite the negative charge will become positive (however, this occurs in small segments as the electrons are not free to move like in a metal)