Find D (in cartesian coordinates) at P(6, 8, −10) caused by a uniform surface charge density ρs = 57.2μC/m^2 on the plane x = 7.

The box-like Gaussian surface of the figure encloses a net charge of 25.0ɛo C and lies in an electric field given by É = [(10.0 + 3.80x)î – 4.50ĵ + bzk]N/C with x and z in meters and ba constant. The bottom face is in the xz plane; the top face is in the horizontal plane passing through y2 = 1.10 m. For x1 = 1.70 m, x2 = 4.30 m, z1 = 1.70 m, and z2 = 2.80 m, what is b? Number i Units

A small rod of length 1.0 cm is placed along the x-axis and has a linear charge density given by λ=αx, where α=3.0 C/cm^2 and x is measured from the center of the rod.

A very long solid nonconducting cylinder of radius R0 and length,l  (R0 << r ) has a uniform volume charge density ρE(C/m3 ). Consider only points far from the ends and for which r << l. Determine the electric field at points a) outside the cylinder (r > R0) b) inside the cylinder (r < R0)