Arectangular slab with uniform volume charge density rho has thick- ness 2l in the x direction and infinite extent in the y and z direc- tions. let the x coordinate be measured relative to the center plane of the slab. for values of x both inside and outside the slab: (a) find the electric field e(x) (you can do this by considering the amount of charge on either side of x, or by using gauss’s law); (b) find the potential φ(x), with φ taken to be zero at x = 0; (c) verify that rho(x) = ε0∇ · e(x) and rho(x) = −ε0∇2φ(x).

Janelle made a hypothesis bout the uneven temperatures inside her house during winter. she believes that 50% of the ducts are blocked and she plans to investigate. if she wants to prove her hypothesis using scientific processes what should she do next?

Antireflective coatings on solar cells are often made by applying a thin film of silicon nitride (sinx), which has an index of refractive of 1.2, on the top of the silicon solar cell, which has a refractive index of about 3.5. however, the sun emits radiation of various wavelengths which the solar cell absorbs, and the antireflective coating can only absolutely minimize the reflection of one of these wavelengths. the coating thickness is chosen to reduce the reflection of green/yellow light (e = 2.2 ev), which is the most intense color in the solar spectrum (shown below). which of the following coatings would minimize reflection of green/yellow light? the answer is 820 nm how? what is the angular width of the central maximum of an electron traveling at 2 x 108 m/s going through a single slit of width 1 mm.

Could we see a galaxy that is 20 billion light-years away?