# Physics

A sphere of radius R has inhomogeneous charge distribution on its surface. Its surface charge density is

σ = σ0 cos θ,

where σ0 is a positive constant, and θ is the angle from the “north pole” to the point of interest and satisfies 0 ≤ θ ≤ π. Calculate the electric potential φ and the electric field E both inside and outside the sphere. Do not make any approximations. Check that φ is continuous from outside to inside. Check that ∇ · E = 0 strictly inside and ∇ · E = 0 strictly outside.

1. 👍 0
2. 👎 0
3. 👁 122
1. 0=1

1. 👍 0
2. 👎 0

## Similar Questions

1. ### PHYSICS

The electric field everywhere on the surface of a thin, spherical shell of radius 0.710 m is measured to be 860 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface?nC (b)

asked by gita on September 8, 2013
2. ### Math/Physics

The potential at the surface of a sphere (radius R) is given by V_0 = k cos 3theta where k is constant. Find the potential inside and outside the sphere as well as the surface charge density (lower case sigma(theta)) on the

asked by Kim on October 30, 2014
3. ### College Physics

A uniformly charged conducting sphere of 1.3 m diameter has a surface charge density of 8.7 µC/m2. (a) Find the net charge in coulombs on the sphere. (b) What is the total electric flux leaving the surface of the sphere?

asked by Stephanie23-17 on July 8, 2012
4. ### physics

A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 7.1 µC/m2. (a) Find the net charge in coulombs on the sphere. (b) What is the total electric flux leaving the surface of the sphere?

asked by Ty on January 29, 2011
5. ### physics

The electric field everywhere on the surface of a thin, spherical shell of radius 0.710 m is measured to be 860 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC

asked by priya on September 13, 2013
6. ### Physics

Consider a spherical plastic shell with inner radius r=1cm, r2=2cm, and a dielectric constant K=4. The center is hollow. Free charge is bound within the plastic. The charge distribution is spherically symmetric but decays with

asked by Help on April 19, 2015
7. ### Physics

2) A solid nonconducting sphere of radius R = 5.6cm has a nonuniform charge distribution or volume charge density p= (1.41pCm^-3)r/R, where r is the radial distance from the sphere's center. a) What is the sphere's total charge?

asked by Ri on November 24, 2010
8. ### Physics

A point charge is placed at the center of a net uncharged spherical conducting shell of inner radius 2.5 cm and outer radius 4.0 cm. As a result, the outer surface of the shell acquires a surface charge density σ = 71nC/cm2. Find

asked by Kaleem on February 20, 2016
9. ### Physics

A charge of uniform linear density 2.89 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.23 cm and an outer radius of 15.5 cm. If the

asked by Kory on February 3, 2017
10. ### Physics

What is the energy from a hollow cylinder of surface charge density sigma, radius R and charge q? Energy? DO you mean E, the electric field intensity? If you mean Energy, it is an odd question, but the answer is that it is the

asked by Mary on October 23, 2006

More Similar Questions