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

In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degree

A small conducting ball that carries a charge of 30.0 nC is located at the center of an electrically neutral hollow conducting sphere with an inner radius of 100 mm and an outer radius of 150 mm. What are the surface charge density (a) on the sphere's inner surface and (b) on its outer surface? (c) Determine the electric field as a function of r, the radial distance from the center of the sphere.

A solid conducting sphere of radius 5.00 cm has a charge of 10.00 µC. A conducting spherical shell of inner radius 8.00 cm and outer radius 10.00 cm is concentric with the solid sphere and has a total charge of -3.00 µC. Find the electric field at the following locations for r: 3, 6, 9, and 12 cm from the center of this charge configuration.

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 = 4.60 cm, outer radius = 10.6 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.2 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell?

If a solid conducting sphere of radius 50.0 cm carries a total charge of 150 nC uniformly distributed throughout its volume. Find the (a) charge density of the sphere and (b) the magnitude of the electric field at r = 10 cm.

A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.80 cm, outer radius = 9.20 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Gaussian cylinder Shell Rod (a) (a) Number i Units (b) Number i Units (c) Number i Units

A charge of uniform linear density 2.20 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.40 cm, outer radius 10.0 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.4 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the shell? Stell-

A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by E, = 12.5 × 107 N/C. Approximately, what is the net charge on the shell? Assume r, = 3 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.