Electric Field Outside and Inside the Sphere of radius a can be calculate by
Gauss Law in Electrostatics
- Sphere filled with charge - Consider a sphere with radius a. It is filled with charge of constant density s cim...
Consider a charged sphere of radius R. The charge density is not constant. Rather, it blows up at the center of the sphere, but falls away exponentially fast away from the center, p(r)=(C/r2)e-kr where C is an unkown constant, and k determines how fast the charge density falls off. The total charge on the sphere is Q. a) Write down the Electric Field outside the sphere, where r ≥ R, in term of the total Q. b) Show that C=...
Consider a sphere of radius a with a uniform charge distribution over its volume, and a total charge of q_o. Use Gauss's Law to calculate the electric field outside the sphere, and then inside the sphere. Solve the general problem in r, recognizing that problem spherical symmetry. Draw a graph of the electric field the has the surface of the strength as a function of noting where if the surface of the sphere is (a). Some hints: the surface area...
4. A sphere of radius R has a uniform surface charge density +ρC/m^2. Find the electric field E inside and outside the sphere.
A solid insulating sphere of radius R has a non-uniform charge density ρ = Ar2 , where A is a constant and r is measured from the center of the sphere. a) Show that the electric field outside the sphere (r > R) is E = AR5 /(5εor 2 ). b) Show that the electric field inside the sphere (r < R) is E = AR3 /(5εo). Hint: The total charge Q on the sphere is found by integrating ρ...
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...
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,...
Exercise 22.19 A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 x 10-6 C/m². A charge of -0.500 μC is now introduced into the cavity inside the sphere. Part A What is the new charge density on the outside of the sphere?Part B Calculate the strength of the electric field just outside the sphere. Part CWhat is the electric flux through a spherical surface just inside the inner...
Let's consider a solid nonconducting sphere with radius a. It has a uniform +Q charge distribution in its volume. A gold layer (conducting) with negligible thickness covers the sphere. A total charge of -2Q is placed on this layer. a) What is the electric field inside the sphere? b) What is the electric field outside the sphere?
Let's consider a solid nonconducting sphere with radius a. It has a uniform +Q charge distribution in its volume. A gold layer (conducting) with negligible thickness covers the sphere. A total charge of -2Q is placed on this layer. a) What is the electric field inside the sphere? b) What is the electric field outside the sphere?
4. Let consider a solid nonconducting sphere with radius a. It has uniform + charge distribution in its volume. A gold layer (conducting) with nagligible thickness covers the sphere. A total charge of 2Q is placed on this layer. a) What is the electric field inside the sphere? b) What is the electric field outside the coated sphere?