1. The potential at the surface of a sphere is kept at potential V(R.0)-Vo sin20. The...

Question

Question

1. The potential at the surface of a sphere is kept at potential V(R.0)-Vo sin20. The potential at infinity is zero. (a) Find

Answer 1

Answer #1

Jo Ca de

Answer 2

Similar Homework Help Questions

5. A hollow sphere of radius R has a potential on the surface of V(θ, d)...

5. A hollow sphere of radius R has a potential on the surface of V(θ, d) Vo cos θ. There is no a) Find the potential everywhere inside and outside the sphere. b) Find the electric field everywhere inside the sphere. (You will find it easier to convert the potential to Cartesian coordinates and then find the field.) c) Find the charge density σ(0) on the surface of the sphere using Gauss' law. charge inside or outside the sphere.
(16 pts total) The potential at the surface of a sphere of radius R is given...

(16 pts total) The potential at the surface of a sphere of radius R is given by Vo k(35cos 0-30cos +5cos+3) where k is a constant. Assume there is no charge inside or outside the sphere. 2. a. (5 pts) Write Vo in terms of Legendre polynomials b. (6 pts) Determine the boundary conditions and find the potential inside and outside the sphere. (5 pts) Find the surface charge density σ(θ) at the surface of the sphere. C.
The potential at the surface of a sphere is given by Vo(0)-kcos 30 Find the potential...

The potential at the surface of a sphere is given by Vo(0)-kcos 30 Find the potential inside and outside the sphere, as well as the surface charge density ?(0) on the sphere. (Assume there is no other charge in the problem except on the sphere.) Make sure to evaluate the coefficients using Fourier's "trick", rather than just guessing. Make a sketch of the electric field.

A conducting sphere of radius a is kept at a constant potential V0. A charge q...

A conducting sphere of radius a is kept at a constant potential V0. A charge q is brought at a distance d from the center of the sphere (d > a). Using the method of images: (a) Find the electric potential V (r, θ) in the region r > a. (b) Find the surface charge density on the surface of the sphere. (c) Find the force on the charge q.
The potential at the surface of a sphere is given by V = kcos(theta) where k...

The potential at the surface of a sphere is given by V = kcos(theta) where k is a constant. A) find the potential inside and outside the sphere (no charge present inside or outside the sphere) B) Determine the charge density sigma on the surface of the sphere.
A conducting sphere of radius a, at potential Vo, is surrounded by a thin concentric spherical...

A conducting sphere of radius a, at potential Vo, is surrounded by a thin concentric spherical shell of radius b, over which someone has glued a surface charge density σ(8)-k cos θ, where k is a constant and θ is the polar spherical coordinate. (a) Find the potential in each region: (i)r > b, and () a<r<b. [5 points] [Hint: start from the general solution of Laplace's equation in spherical coordinates, but allow for different coefficients in the radial part...

2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of:...

2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
Calculating potential using method of separation of variables.

Q2.PNGA sphere of radius R has a specified potential at it’s surface that is given by: V (R, θ) = kR /epsilon0 (3 cos^2 θ − 1) . a) Using the method of separation of variables in spherical coordinate, solve Laplace’s equation to find the potential inside and outside.of the sphere. Refer to Griffith’s examples 3.6 and 3.7 for the method and on how to ”eye-ball” the coefficients in the general solution. (10 points)Using the continuity equation, find the surface charge density...
Suppose that the potential Volt) is specified on the surface of a sphere. Voce= k (Brose...

Suppose that the potential Volt) is specified on the surface of a sphere. Voce= k (Brose + 1) (JB (use -1) where k is a constant, the radius of the sphere is R, and the sphere is hollowed. a) Find the potential inside the sphere. b) Find the potential outside the sphere

2 A conducting sphere of radius a is surrounded by a weakly conducting material of conductivity...

2 A conducting sphere of radius a is surrounded by a weakly conducting material of conductivity ; this material can be thought to extend all the way to infinity. The electrostatic potential V is equal to the constant Vo on the surface of the sphere, and it vanishes at infinity. There is no net charge inside the weakly conducting material (a) Calculate the current density J for r > a (b) Verify that V.J-0 (c) Calculate the current I flowing...