Question

A solid sphere of radius R has a uniform volumetric charge density rho = −3C /...

A solid sphere of radius R has a uniform volumetric charge density rho = −3C / 2πR ^ 3.
Calculate the electric field inside and outside the sphere.

Homework Answers

Answer #1

here  epsilon naught quantifies the ability of a vacuum to allow electric field lines to flow through. It is approximately 8.854 × 10^-12 farads per meter.

and epsilon r is the permittivity of solid sphere.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A solid spherical charge insulator of radius R carries a uniform charge density of p. A)...
A solid spherical charge insulator of radius R carries a uniform charge density of p. A) Derive an equation for the electric field as a function of the radical position inside the sphere using electric flux and a Gaussian surface of variable radius. B) Derive an equation for the electric field as a function of the radial position outside the sphere. C) Multiply your results from parts A and B with some test charge, are these results consistent with coulombs...
Consider a very long cylindrical charge distribution of radius R with a uniform charge density rho....
Consider a very long cylindrical charge distribution of radius R with a uniform charge density rho. Calculate the magnitude of the electric field at distance r<R from the axis of this distribution. Derive using gauss law Show all work please
Consider a solid uniformly charged copper sphere with charge Q and radius R. Showing all Steps,...
Consider a solid uniformly charged copper sphere with charge Q and radius R. Showing all Steps, (a) Calculate the potential of the spherical charge inside and outside of the sphere. (b) Calculate the electric field of the spherical charge from the potential in part (a) for the inside and outside regions.
A solid non-conducting sphere of radius R has a nonuniform charge    distribution of volume charge...
A solid non-conducting sphere of radius R has a nonuniform charge    distribution of volume charge density ρ = rρs/R, where ρs is a constant and    r is the distance from the centre of the sphere.    Show that:    (a) the total charge on the sphere is Q = π ρsR3 and    (b) the magnitude of the electric field inside the sphere is given by the    equation        E = (Q r2 / 4π ε0R4)
A nonconducting solid sphere of radius 9.10 cm has a uniform volume charge density. The magnitude...
A nonconducting solid sphere of radius 9.10 cm has a uniform volume charge density. The magnitude of the electric field at 18.2 cm from the sphere's center is 1.77  103 N/C. (a) What is the sphere's volume charge density? µC/m3 (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center.
A solid, nonconducting sphere of radius R = 6.0cm is charged uniformly with an electrical charge...
A solid, nonconducting sphere of radius R = 6.0cm is charged uniformly with an electrical charge of q = 12µC. it is enclosed by a thin conducting concentric spherical shell of inner radius R, the net charge on the shell is zero. a) find the magnitude of the electrical field E1  inside the sphere (r < R) at the distance r1 = 3.0 cm from the center. b) find the magnitude of the electric field E2 outside the shell at the...
A solid sphere of nonconducting material has a uniform positive charge density ρ (i.e. positive charge...
A solid sphere of nonconducting material has a uniform positive charge density ρ (i.e. positive charge is spread evenly throughout the volume of the sphere; ρ=Q/Volume). A spherical region in the center of the solid sphere is hollowed out and a smaller hollow sphere with a total positive charge Q (located on its surface) is inserted. The radius of the small hollow sphere R1, the inner radius of the solid sphere is R2, and the outer radius of the solid...
A solid sphere, radius R, is centered at the origin. The “northern” hemisphere carries a uniform...
A solid sphere, radius R, is centered at the origin. The “northern” hemisphere carries a uniform charge density ρ0, and the “southern” hemisphere a uniform charge density −ρ0. Find the approximate field E(r,θ) for points far from the sphere (r ≫ R).
A solid spherical no-conductor of radius 14.5cm has a uniform charge density of p=3.70uC/m**3 (a) Find...
A solid spherical no-conductor of radius 14.5cm has a uniform charge density of p=3.70uC/m**3 (a) Find the magnitude of the electric field af a distance of 8.5 cm from the center of the sphere. B-find the electric field at a distance of 21.0 cm from the center of the sphere C-Now consider a solid sphere conductor of same radius with the same total charge as the non conductor sphere in part (a) Find the electric field at the two distance...
The simplest model of an atomic nucleus is a solid ball of radius "a" having uniform...
The simplest model of an atomic nucleus is a solid ball of radius "a" having uniform charge density "rho". A) Find the electrical field E at all points using Gauss' Law. (inside sphere, outside sphere) B) By integrating appropriately, find the continuous potential function "phi" such that "phi"=0 at the origin.