An infinitely long conducting cylinder of radius 2 cm has a linear charge density +3 μC/m is surrounded by an insulating shell of inner radius 8 cm and outer radius 12 cm. The insulating shell has a net linear charge density of +2 μC/m . What is the electric field at 9.0 cm? What is the electric field at 15.0 cm?

The figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC.   a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.

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?

A spherical conductor of radius a = 1.5 cm with a charge Q = -20 nC. At the center of the conductor sphere is a hollow insulator sphere whose inner radius is b= 2 cm and outer radius is c = 3 cm (see picture). This insulating ball is given a charge of q = + 30 nC. Using Gauss's law, determine the location of the points where the electric field is zero!

4. A point charge q=+15.0µC is located at the origin. A hollow spherical conductor of inner radius a=0.0500 m and outer radius b=0.0950 m is concentric with the point charge, and has a net charge Q= -20.0µC. Using Gauss's law, derive the equation for the magnitude of the electric field as a function of r. a

Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R = 3.00×10-2 m. The charge density is 4.00×10-2 C/ m3. a)What is the electric field at r = 1.50×10-2 m?  b)What is the electric field at r = 6.00×10-2 m?

A 5 cm radius ball is charged to 190 nC. The charge is uniformly distributed throughout the volume of the ball. a. What is the charge density for this ball? ANS. 3.628733×10-4 C/m^3 b. How much charge is enclosed by a sphere of radius 1 cm concentric with the ball??