consider a spherical ball of of charge radius R with a volume charge density of p(r)=a^3 for r≤R what are coefficient unit, calculate the electrical field r≥R and show that the expression agrees when r=R
Consider a spherical ball of of charge radius R with a volume charge density of p(r)=a^3 for r≤R ...
A spherical ball of charge has radius R and total charge Q. The electric field strength inside the ball(r ? R) is E(r)=Emax(r^(4)/R^(4)). 1) What is Emax in terms of Q and R? 2) Find an expression for the volume charge density ?(r) inside the ball as a function of r.
A spherical ball of radius R1 is charged with a constant charge density ρ. However a smaller spherical hollow region of radius R2 is located at the center. Show that the electric field E inside the hollow region is uniform and find the electric field. When the electric field at any point in the cavity is equal to the electric field produced by the big sphere with uniform charge density ρ plus the electric field produced by the cavity with...
A solid, spherical plastic ball (of radius a) is given a net charge of +4Q Coulombs. The charge is distributed uniformly throughout the volume of the ball. a.) Determine the total charge enclosed by a Gaussian surface of radius r = a/2 b.) Use Gauss's Law to determine an expression for the electric field at r = a/2. Use the symbol kE in your answer. Do not forget to include a unit vector, since the electric field is a vector.
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)
PROBLEM 2: A thick, spherical, insulating shell has an inner radius a and an outer radius b. The region a< r < b has a volume charge density given by p = A/r where A is a positive constant. At the center of the shell is a point charge of electric charge +q Determine the value of A such that the electric field magnitude, in the region a < r < b, is constant.
P5. A sphere of radius 2a has a uniform volume charge density p. A spherical cavity of radius a is now removed from the sphere as shown. Show that the electric field within the cavity is uniform, has magnitude E-ρα/3e0, and is parallel to the common diameter of both spheres
4) A dielectric ball of radius R with a uniform volume charge density protates about a diameter with angular velocity 0. What is the torque exerted on the ball by a uniform magnetic field B perpendicular to the axis of rotation?
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .
Evaluate the integrals (a) (3-2r-1)-3)dr (b) Write an expression for the volume charge density p(r) of a point charge q at (the specific position) r' and very that the volume integral f Pr)dr is equal to q (c) A spherical shell of charge with radius R is described by the charge distribution p(r) Ao(r R) where A is a constant. Assuming the total charge of the shell is Q, find the constant A All pacs
Question 2. A spherical ball is charged uniformly with charge density, ρν except for a small spherical hole which is uncharged. The radius of the ball is R and the radius of the whole is Rh The hole center is displaced from the center of the sphere by d. Calculate the E-field inside the hole?