In the figure a “semi-infinite” nonconducting rod (that is, infinite in one direction only) has uniform linear charge density λ = 1.38 μC/m. Find (including sign) (a) the component of electric field parallel to the rod and (b) the component perpendicular to the rod at point P (R = 20.5 m).

A non-conducting solid sphere with a radius of 50.0 cm located at the origin has a charge of +3.00 µC spread uniformly throughout its volume. Concentric with the sphere is a conducting spherical shell that has an inner diameter of 2.00 m and an outer diameter of 2.50 m with a net charge of -2.50 µC. Calculate the magnitude and direction (either away or toward the origin) of the electric field at (a) r = 1.20 m, and (b) r = 3.00 m, where r is the distance from the origin. (c) What is the net charge on the inner and outer surfaces of the shell? (d) Include a diagram of the situation indicating both the sphere and the shell along with the Gaussian surfaces.

A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.20 cm, outer radius = 9.80 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?

The figure shows, in cross section, three infinitely large nonconducting sheets on which charge is uniformly spread. The surface charge densities are o1 = 3.67 µC/m2, 02 = 4.78 µC/m2, and oz = -4.21 µC/m², and distance L = 1.80 cm. What are the (a) x and (b) y components of the net electric field at point P? L/2 2L