1. A spherical shell with inner and outer radii, a and b respectively, carries a uniform charge with charge density rho_v. a. find the total charge in the shell. b. Use Gauss's Law to find the electric field intensity everywhere in space. c. If a point charge Q is placed at the center of the shell, find the force experienced by the charge Q.
1. A spherical shell with inner and outer radii, a and b respectively, carries a uniform charge with charge density rho_v. a. find the total charge in the shell. b. Use Gauss's Law to find the electric field intensity everywhere in space. c. If a point charge Q is placed at the center of the shell, find the force experienced by the charge Q.
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Transcribed Image Text:1. A spherical shell with inner and outer radii, a and b respectively, carries a uniform charge with
charge density rho_v.
a. find the total charge in the shell.
b. Use Gauss's Law to find the electric field intensity everywhere in space.
c. If a point charge Q is placed at the center of the shell, find the force experienced by the charge
Q.
2. Four equal charges are located at the corners of a square of radius a. Assume that the square
is in the xy-plane, centered at the origin
and its sides are parallel to the x and y axes,
a. find the electric field intensity along the z-axis.
b. find the electric potential at any point on the z-axis.
c. find the energy in the system of charges.
3. Assume the electric flux density is given by
D=2cos(theta)/r^3a_r+sin(theta)/r^3a_theta C/m^2
a. Find the charge density rho_v
b. Find the electric potential V.
c. Find the energy stored in spherical region r>3m
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