The susceptibility of free space or air is zero (0). In free space, the relative permittivity (εr) is equal to 1, and the susceptibility (χe) is given by χe = εr - 1 = 1 - 1 = 0. This means that free space does not exhibit any polarization or ability to become polarized under the influence of an electric field.

In a charged conductor, the charges distribute themselves uniformly on its surface. This distribution of charges creates an electric field inside the conductor. However, within a conductor, the electric field is zero, and therefore, the potential is constant throughout its surface, making it an equipotential surface. The electric field lines are perpendicular to the surface of the conductor.

The potential difference between the plates is equal to the change in electric potential energy of the electron. The potential difference is given by V = Ed, where E is the electric field intensity between the plates and d is the distance between them. The electric field intensity E = V/d = 20V/0.1m = 200 V/m. The change in electric potential energy is qV, where q is the charge of the electron (-1.6*10^-19 C). Setting the change in potential energy equal to the change in kinetic energy (0.5mv^2), we have qV = 0.5mv^2. Solving for v, we get v = sqrt(2qV/m) = sqrt(2*(-1.6*10^-19 C)*(20V)/(9.11*10^-31 kg)) ≈ 2.65*10^6 m/s.

In a charged conductor, the charges distribute themselves uniformly on its surface. This distribution of charges creates an electric field inside the conductor. However, within a conductor, the electric field is zero, and therefore, the potential is constant throughout its surface, making it an equipotential surface. The electric field lines are perpendicular to the surface of the conductor.

The property that distinguishes conductors, insulators, and semiconductors is the energy band gap. The energy band gap is a characteristic of the electronic structure of materials and represents the energy difference between the valence band (the highest energy band occupied by electrons at absolute zero temperature) and the conduction

The susceptibility (χe) can be calculated by dividing the bound charge density by the free charge density. In this case, the ratio is 12/6 = 2. Therefore, the susceptibility is 2. Susceptibility measures the extent to which a material can become polarized when exposed to an electric field.

The potential at the midpoint between the two equal and opposite charges is 0 V. Since the charges have the same magnitude but opposite signs, their individual potentials cancel each other out, resulting in a net potential of 0 V.

The work done (W) to bring a charge q to a point with an electric potential V is given by W = q * V. Substituting the values, we get W = (4 * 10^-3C) * (2 * 10^2V) = 0.8J. The work done is positive in this case.

The electric potential energy of a system depends on the positions and magnitudes of the charges involved. In this case, since all three charges are positive, there are no negative

In order for charge to flow from the smaller sphere to the larger sphere, the spheres should be placed concentrically, with the smaller sphere positioned inside the larger sphere. When connected with a wire, the charge will redistribute itself on the outer surfaces of both spheres, with some charge flowing from the smaller sphere to the larger sphere.