Consider two infinite planes of charge.  Both planes are parallel to the x-y plane.  One plane is at z = 0 and has a charge density of 66.7 x 10-12 C/m2.  The other plane is at z = 5.2 m and has a charge density of -69.3 x 10-12 C/m2.  Calculate the magnitude (your answer should be positive) of the electric field at z = 3.1 m, in N/C.  Use ?0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)

In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cm

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.

+X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao. A continuous line of charge lies along the x axis, extending from x = (a) What is the magnitude of the electric field at the origin? (Use the following as necessary: 1o, xo, and ke.) 0. %3D (b) What is the direction of the electric field at the origin? O +X +y O -z

Consider a very large, flat plate with surface charge density 3.46 nC/m2. Give the magnitude of the electric field (in N/C) a distance 7.54 m from the plate.

A nonconducting solid sphere of radius 10.7 cm has a uniform volume charge density. The magnitude of the electric field at 21.4 cm from the sphere's center is 2.18  103 N/C. (a) What is the sphere's volume charge density? (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center.

A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3?. A second such plate located at z = 2.40 cm and oriented parallel to the xy-plane carries a charge per unit area of −2?. Find the electric field for the following. (a) when z<0   (b) when  0 < z < 2.40 cm (c) when z > 2.40 cm

6. A solid non-conducting sphere of radius a= 4 cm has a uniformly distributed volumetric charge density p+= 3 nC/m³. It is surrounded by a non-conducting concentric spherical shell of internal radius b= 10 cm and external radius c= 13 cm, which has a uniformly distributed volumetric charge density p-=-3 nC/m³. +p Calculate the magnitude of the electric field for r= 1 cm. a) E= 8.6629 N/C b) E= 0.565 N/C c) E= 1.1299 N/C d) E= 0.4237 N/C

An unknown charge sits on a conducting solid sphere of radius 9.5 cm. If the electric field 13 cm from the center of the sphere has magnitude 4.3 × 103 N/C and is directed radially inward, what is the net charge on the sphere?