A slab of constant (uniform) charge density ρv = ρv0 has a thickness h as shown below and is infinite in the x and y directions. Determine the electric field above and below the slab. A slab of constant (uniform) charge density ρv = ρv0 (as above) has a thickness h as shown below, and is infinite in the x and y directions. Determine an effective surface charge density ρseff (lying in the xy plane) that has the same amount of charge per unit area in the xy plane as the slab of charge does.

A slab of constant (uniform) charge density ρv = ρv0 has a thickness h as shown below and is infinite in the x and y directions. Determine the electric field above and below the slab. A slab of constant (uniform) charge density ρv = ρv0 (as above) has a thickness h as shown below, and is infinite in the x and y directions. Determine an effective surface charge density ρseff (lying in the xy plane) that has the same amount of charge per unit area in the xy plane as the slab of charge does.

Image text
  1. A slab of constant (uniform) charge density ρ v = ρ v 0 has a thickness h as shown below and is infinite in the x and y directions. Determine the electric field above and below the slab.
  2. A slab of constant (uniform) charge density ρ v = ρ v 0 (as above) has a thickness h as shown below, and is infinite in the x and y directions. Determine an effective surface charge density ρ s eff (lying in the x y plane) that has the same amount of charge per unit area in the x y plane as the slab of charge does.

Detailed Answer