A thin spherical shell of radius R is charged with a non-uniform surface density according to...
Problem 5: A thin (non-conducting) spherical shell of radius R has a uniform surface charge density ơ and is spinning around its axis with angular velocity wWo (a) [3 pts] Find the surface current density K of the spinning shell. (b) [5 pts] Find the magnetic dipole moment m of the spinning shell. Some possibly useful integrals: sin3 θd_ (1/12) (cos(39)-9 cos θ) sin' θd_ (1/32)(129-8 sin(29) + sin(40)) sin2 θ cos2 θdθ = (1/32) (49-sin(49) sin'ecosade = (1/30)cos'(9)(3cos(29-7)
A thin nonconducting spherical shell of radius 6 cm carries a uniform surface charge density σ = 9 nC/m2. (a) What is the total charge on the shell? Find the electric field at the following radii (b) r = 2.1 cm N/C (c) r = 5.9 cm N/C (d) r = 6.1 cm N/C (e) r = 18 cm N/C
A nonconducting thin spherical shell of radius 6.36 cm has a uniform surface charge density of 8.41 nC/m2. What is the total charge on the shell? What is the magnitude of the electric field at a distance of 4.99 cm from the center of the shell? What is the magnitude of the electric field at a distance of 7.89 cm from the center of the shell?
A nonconducting thin spherical shell of radius 6.36 cm has a uniform surface charge density of 5.15 nC/m2. What is the total charge on the shell? What is the magnitude of the electric field at a distance of 4.15 cm from the center of the shell? What is the magnitude of the electric field at a distance of 9.19 cm from the center of the shell?
A nonconducting thin spherical shell of radius 6.36 cm has a uniform surface charge density of 9.81 nC/m2. What is the total charge on the shell? What is the magnitude of the electric field at a distance of 4.79 cm from the center of the shell? What is the magnitude of the electric field at a distance of 8.83 cm from the center of the shell?
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...
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.
2) A surface charge density o=0, cos is distributed on a spherical shell of radius R. i) (20 points) Calculate the electric potential outside the sphere using the solution of Laplace equation. ii) (20 points) Find the electric potential using the definition of scalar potential.
You have constructed an arrangement with a nonconducting sphere of radius R inside a thin conducting spherical shell. You have managed to distribute a uniform charge density p inside the nonconducting sphere. Find the electrostatic field inside the nonconducting sphere and outside of the arrangement of sphere and shell. What is the surface charge density on the inner surface of the conducting shell?
In the figure the sphere of radius R is solid and non-conductive and has a uniform charge volumetric distribution p0. A spherical shell with inner radius 2R and outer radius 3R is concentric with the sphere and unloaded. Find, in terms of p0 and R: a) the value of the electric charge in the sphere, b) the magnitude of the electric field at a radial distance r - 2.5R, c) the value of the surface charge density induced in the...