2) A surface charge density o=0, cos is distributed on a spherical shell of radius R....
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
Consider a spherical shell with inner radius a and outer radius b. A charge density σ A cos(9) is glued over the outer surface of the shell, while the potential at the inner surface of the shell is V (8) Vo cos(0). Find electric potential inside the spherical shell, a<r<b.
A charge Q is distributed uniformly on the surface of a spherical conducting shell of radius 10 cm. The magnitude of electric field on the surface is 106V/m. What is the magnitude of electric field 20 cm from the center of the shell? What is the surface charge density in Cm2 of the spherical shell in problem 4?
A thin spherical shell of radius R is charged with a non-uniform surface density according to σ θ)-o sn , where e is the angle relative to the z axis. Calculate the electric field outside the shell along the z axis at z=R Use sin2(x) 1- cos(x) 05 dx= 1.88562 Select one: Check
Consider a spherical shell with radius R and surface charge density: The electric field is given by: if r<R E, 0 if r > R 0 (a) Find the energy stored in the field by: (b) Find the energy stored in the field by: Jall space And compare the result with part (a)
#1 and #3 I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
Charge is distributed throughout a spherical volume of radius R with a density ρ ar where α is a constant. an risthe distance from the center of the sphere. Determine the electric field due to the charge at a point a distance r from the center that is inside the sphere, and at a point a distance r from the center that is outside the sphere. (Enter the radial component of the electric field. Use the following as necessary: R,...
A thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density 8 nC7m (a) What is the total charge on the shell? nC Find the electric field at the following radi (b) r 1.7 cm N/C (c) r 5.9 cm N/C (d) r 6.1 cm N/C e 12 cm N/C eBook +-12 points Tipler6 22 P041 A nonconducting solid sphere of radius 8.20 cm has a uniform volume charge density. The magnitude of the electric field...
An isolated thin spherical conducting shell of radius R has charge Q uniformly distributed on its surface. Write the results in terms of k, Q and R. (a) Find the electric field at a distance, r = 2R from the center of the sphere. (b) What is the electric field at the center of the conducting sphere? What is the electric field inside the conducting sphere? Please explain the steps and formuals. Mandatory !!!
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...