1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q....
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?
3. Uniformly Charged Spherical Shell Find the energy of a uniformly charged spherical shell of total charge Q and radius R. (HINT: the relationship V-RdA may be useful, also think about what integrating over dA actually yields)
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 !!!
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3). A positive charge +Q is placed in the center of the hollow sphere and a concentric grounded conducting shell with inner radius R2 and outer radius R3 surrounds the hollow sphere. (The conducting shell was neutral before it is grounded.) (a) What is the total charge on the insulating sphere? (b) What charges are on the...
A uniformly charged non-conducting sphere of radius a is placed at the center of a spherical conducting shell of inner radius b and outer radius c. A charge +Q is distributed uniformly throughout the inner sphere. The outer shell has charge -Q. Using Gauss' Law: a) Determine the electric field in the region r< a b) Determine the electric field in the region a < r < b c) Determine the electric field in the region r > c d)...
#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...
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)
5. A thick, nonconducting spherical shell with a total charge of Q distributed uniformly has an inner radius R1 and an outer radius R2. Calculate the resulting electric field in the three regions r<RI, RL<r<R2, and r > R2
A thin spherical shell of radius R = 20.0 cm has total charge Q = 58.0 nC uniformly distributed on its surface. Part A A test particle with charge q = 8.00 nC is initially at a position r = 43.0 cm from the center of the shell. The particle moves to the surface of the shell closest to its initial position. What is the change in potential energy of the test particle as a result of this move? Part...
A point charge q is located at the center of a spherical shell of radius a that has a charge -q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = kq/r2 E = kq2/r2 E = q/4pr2 none of these E = 0 (b) for a point inside the shell a distance r from the center E = q/4pr2 E = kq2/r2 E = kq/r2 E...