Three point charges are located near a spherical Gaussian surface of radius 14.5 cm. One charge (+3Q =12.9 μC) is inside the sphere, and the others (charge +Q =4.3 μC) are a distance 4.83333333333333 cm outside the surface. What is the total (net) electric flux through the Gaussian surface?

A solid sphere of radius 40.0 cm has a total positive charge of 25.0 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) 0 cm from the center of the sphere kN/C(b) 10.0 cm from the center of the sphere kN/C(c) 40.0 cm from the center of the sphere kN/C

A charge of 22.2 pC is distributed uniformly on a spherical surface (r = 2.0 cm), and a second charge of – 14.1 pC is distributed uniformly on a concentric thin spherical surface (r2 = %3D 4.0 cm). Determine the magnitude of the electric field ( in units of N/C) at a distance of 5.0 cm from the center of the two surfaces.

In the figure a solid sphere of radius a = 3.00 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.10 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (b) r = a/2.00, (c) r = a, (d) r = 1.50a? What is the net charge on the (g) inner  surface of the shell?

A square that has 10 cm long edges is centered on the x axis in a region where there exists a uniform electric field given by E = (2.00 kN/c)î. (a) What is the electric flux of this electric field through the surface of a square if the normal to the surface is in the +x direction? N. m2/c (b) What is the electric flux through the same square surface if the normal to the surface makes a 70° angle with the y axis and an angle of 90° with the z axis? N. m2/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?

A cylinder has a volume of 5.2 cm^3 and a charge density of 6.1 μC/cm^3, and is enclosed in a spherical surface with a radius of 17.5 cm. What is the total charge on the cylinder? What is the total electric flux through the surface of the sphere?

A nonuniform electric field is directed along the x-axis at all points in space, as shown in the figure. The diameter of the cylindrical surface id of 0.20 m. If the electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 2009.5 N/C and 1193.7 N/C respectively, find the net charge (in pC) in this cylindrical surface? 0.20 m E 0.80 m a. 890.59 Ob.-2268.18 O C. -226.82 O d. -890.59 O e. 226.82