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.

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genius_generous answered 1 year ago

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 spherical charge distribution of radius R has a charge Q distributed uniformly over its volume....

A spherical charge distribution of radius R has a charge Q distributed uniformly over its volume. Find the magnitude of the electric field E(r) and the electric potential V (r) for all r.

An isolated conducting sphere of radius R has charge Q uniformly distributed on its surface. What...

An isolated conducting sphere of radius R has charge Q uniformly distributed on its surface. What is the electric field (E) inside the conducting sphere at distance r = R/2 from center?

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 sphere of radius R is charged with a charge Q. 1. What is the potential...

A sphere of radius R is charged with a charge Q. 1. What is the potential outside of the sphere at distance r from the center of the sphere？ 2. what is the electric potential at the center of the sphere

A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed...

A solid insulating sphere of radius R has a charge of Q, (Q > 0) placed on it, uniformly distributed throughout its volume. Surrounding the sphere is a spherical conducting shell with inner radius 2R and outer radius 3R and has a charge of −2Q placed on it. The sphere and the shell share the same center. 1A: Determine the magnitude of the electric field, E(r), where r is the distance from the center of the sphere 1B: Determine the...

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...

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 (? =...

Consider a conducting sphere of radius R carrying a net charge Q. a). Using Gauss’s law...

Consider a conducting sphere of radius R carrying a net charge Q. a). Using Gauss’s law in integral form and the equation |E| = σ/ε0 for conductors, nd the surface charge density on the sphere. Does your answer match what you expect? b). What is the electrostatic self energy of this sphere? c). Assuming the sphere has a uniform density ρ, what is the gravitational self energy of the sphere? (That is, what amount of gravitational energy is required/released when...

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

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