What is the new charge density on the outside of the sphere? Calculate the strength of the...

What is the new charge density on the outside of the sphere? Calculate the strength of the electric field just outside the sphere? What is the electric flux through a spherical surface just inside the inner surface of the sphere?

Expert Solution

genius_generous answered 1 year ago

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.

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,...

Find the electric field inside and outside of hallow conducting sphere charge Q

Shown is a uniformly charged inner insulating sphere with radius a and with charge density given...

Shown is a uniformly charged inner insulating sphere with radius a and with charge density given by ρ = ρ0(r3/a3). Outside of it is a conducting shell of inner radius b and outer radius c. This spherical shell also has double the charge of the inner non-conducting sphere. (So, if the inner sphere had charge “+Q”, the outer shell has charge “+2Q”.) The space between the sphere and the shell is empty. a) Describe/draw the charge distribution on the outer...

An insulating sphere of radius a has charge density ρ(r) = ρ0r2, where ρ0 is a...

An insulating sphere of radius a has charge density ρ(r) = ρ0r2, where ρ0 is a constant with appropriate units. The total charge on the sphere is -3q. Concentric with the insulating sphere is a conducting spherical shell with inner radius b > a and outer radius The total charge on the shell is +2q. Determine (a) The magnitude of electric field at the following locations: (i) r < a; ii) a < r < b; (iii) b < r <...

consider a charge Q distributed through out a sphere of radius R with a density: rho=...

consider a charge Q distributed through out a sphere of radius R with a density: rho= A(R-r) where rho is in Coulombs/m^3 0<r<R determine the constant A in terms of Q and R Calculate the electric field inside and outside of the sphere

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...

A metal sphere of radius a has a uniform (free) charge density σf on its surface....

A metal sphere of radius a has a uniform (free) charge density σf on its surface. The permittivity of the dielectric region surrounding the sphere varies as , where r is the radial coordinate. (1 pts) Determine the polarization P and electric field intensity E inside the sphere. (3 pts) Determine the polarization P and electric field intensity E in the dielectric. (5 pts) Calculate all bound charge densities, ρb and σb. Is the dielectric homogeneous? (1 pts) Test whether...

A sphere of radius R has a radius dependent charge density ρ = B · r3...

A sphere of radius R has a radius dependent charge density ρ = B · r3 in terms of R and B. Calculate the potential as a function of r from the center of the sphere.

A sphere of radius R1 has a volume charge density given by row = Mr where...

A sphere of radius R1 has a volume charge density given by row = Mr where r is the radial distance from the center of the sphere. The sphere is surrounded by an uncharged metal shell out to radius R2. 1) Determine an expression in terms of the constants given for the total charge Q in the sphere of charge density 2) Determine an expression for the electric field in the three regions r < R1, R1 < r <...

Question