(Solved): 3. A slab of constant (uniform) charge density \( \rho_{v}=\rho_{v 0} \) has a thickness \( h \) as ...

3. A slab of constant (uniform) charge density \( \rho_{v}=\rho_{v 0} \) 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. 4. A slab of constant (uniform) charge density \( \rho_{v}=\rho_{v 0} \) (as above) has a thickness \( h \) as shown below, and is infinite in the \( x \) and \( y \) directions. Determine an effective surface charge density \( \rho_{s}^{\text {eff }} \) (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.