A non conducting sphere of radius R and uniform volume charge density is rotating with angular...

A non conducting sphere of radius R and uniform volume charge density is rotating with angular velocity, Omega. Assuming the center of the sphere is at the origin of the coordinate system, a) what is the magnitude and direction of the resulting magnetic field on the z axis for any arbitrary z distance away from the origin when z > R? b) same question as part a) but for z < R? Omega of the rotating sphere on the extra credit problem is also in the z direction.

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genius_generous answered 2 years ago

1) An insulating sphere with radius R has a uniform positive volume charge density of ρ....

1) An insulating sphere with radius R has a uniform positive volume charge density of ρ. A solid metallic shell with inner radius R and outer radius 2R has zero total charge. [Express your answers for parts (a-d) using ρ, R, and constants] (a) What is the magnitude of the electric field at a distance ? = 3? away from the center? (b) Assuming the potential at infinity is 0. What is the potential at the outer surface (? =...

A nonconducting sphere of radius R carries a volume charge density that is proportional to the...

A nonconducting sphere of radius R carries a volume charge density that is proportional to the distance from the center: Rho=Ar for r<=R, where A is a constant; Rho = 0 for r>R a) Find the total charge on the sphere b) Find the electric field inside the charge distribution. c) Find the electric field outside the charge distribution. d) Sketch the graph of E versus r.

A charge Q is distributed in the volume of a sphere of radius R with a...

A charge Q is distributed in the volume of a sphere of radius R with a density non-uniform load cubic p = B (R - r) , where b is a constant and r is the distance to the center of the sphere determine: The values of the potential in the center and on the surface of the sphere.

An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the...

An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the center of a thin shell spherical with radius R2 and surface charge density uniform σ2. Here are the known parameters: R1 = 0.2 m R2 = 0.6 m ρ1 = 6 µC / m3 E = 0 everywhere outside the thin shell a) Using the Gauss theorem, calculate the value of the parameter σ2 in nC / m2 . b) Using the Gauss theorem,...

A conducting sphere with a radius of R = 14.9 mm has a uniform and constant...

A conducting sphere with a radius of R = 14.9 mm has a uniform and constant surface charge density of a = 4.7 nC / m ?. What will be the magnitude of the electric field produced by that sphere at a distance from the center of the sphere of r = 34.3 cm?

A solid sphere of radius R is rotating with angular velocity w (omega) in otherwise still...

A solid sphere of radius R is rotating with angular velocity w (omega) in otherwise still infinite fluid of density p (rho) viscosity u (mu). (a) For creeping flow assumptions to hold, which condition(s) has to be satisfied? (b) Under creeping flow assumption, solve the velocity field in the flow. Does the solution still satisfy the creeping flow assumption at the far field?

A non-conducting sphere of radius R centered at O contains a spherical cavity of radius R’...

A non-conducting sphere of radius R centered at O contains a spherical cavity of radius R’ centered at O'. Let d be the displacement of O’relative to 0. Throughout the sphere, there is a uniform charge density rho_0 (except inside the cavity, which is uncharged). (a) Use the principle of superposition to write down an expression for E(r) everywhere. (b) Repeat (a) for the electric potential b(r).

A solid conducting sphere of radius a has its center at the origin and non uniform...

A solid conducting sphere of radius a has its center at the origin and non uniform magnetization given by: M = (a*z^2+b)zhat Estimate the vector potential and the magnetic field in the region of space outside the sphere. Calculate the amount of energy stored in the magnetic field outside the sphere. Explain how there can be an H-field associated with this sphere when there are no free currents.

A sphere with radius a has uniform charge/volume. A metal sphere shell has inner radius b(from...

A sphere with radius a has uniform charge/volume. A metal sphere shell has inner radius b(from center) and outer radius c(from center). Between a and b is empty. Outer metal shell has total charge Q1 Please start with Gauss's law and show steps Find Electric field in region a) r<a b)a<r<b c)b<r<c d) r>c

A hollow, conducting sphere with an outer radius of 0.250 m and inner radius of 0.200 m has a uniform surface charge density of +6.50µC/m2

A hollow, conducting sphere with an outer radius of 0.250 m and inner radius of 0.200 m has a uniform surface charge density of +6.50µC/m2. A charge of -5.00 µC is now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? Calculate the strength of the electric field outside the sphere. What is the electric flux through a spherical surface just outside the inner surface of the sphere?

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