Question

3.The polarization vector of a dielectric sphere of radius R is P = a * P0...

3.The polarization vector of a dielectric sphere of radius R is P = a * P0 / R ^ 2
As it is given, determine the following
a) Equivalent polarization surface charge density
b) Equivalent polarization volume charge density

Homework Answers

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
An insulating sphere of radius a has charge density p(r) = P0r^2, where P0 is a...
An insulating sphere of radius a has charge density p(r) = P0r^2, where P0 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 utter radius. The total charge on the shell is +2q. Determine a. the magnitude of the electric field at the following locations: (i) r < a, (ii) a < r < b, (iii) b <...
A spherical dielectric shell has inner radius r1, outer radius r2, and dielectric constant k. A...
A spherical dielectric shell has inner radius r1, outer radius r2, and dielectric constant k. A charge Q is placed at the center of the sphere. (a) Determine the polarization P in the dielectric shell. (b) Find the bound volume charge density, ρb, inside the dielectric shell. (c) Find the bound surface charge density, σb, at r = r1 and r = r2.
A sphere of radius R carries a polarization , where is a constant. (note that there...
A sphere of radius R carries a polarization , where is a constant. (note that there is no free charge) What is the surface bound charge and the volume bound charge . Find the electric field inside and outside the sphere. (Hint: you can use the result of Q1 to calculate the electric field inside the sphere, that the total charge due to polarization vanishes. Outside the sphere, calculate the enclosed charge from the volume bound charge)
A sphere of radius R carries an uniform polarization P and an uniform magnetization M (not...
A sphere of radius R carries an uniform polarization P and an uniform magnetization M (not necessarily in the same direction). What are the magnetic fields (B) and electric fields (E) inside and outside the sphere.
Consider an infinite plane dielectric slab of thickness d sandwiched between two infinite plane sheets of...
Consider an infinite plane dielectric slab of thickness d sandwiched between two infinite plane sheets of equal and opposite uniform charge densities ρs and –ρs in the z = 0 and z = d planes, respectively. Answer the following: (a) In the absence of the dielectric, find the electric field between the sheets of charge. (b) Assuming a uniform polarization P in the dielectric, show that there is no polarization volume charge, and that the polarization surface charge is given...
Q2a) Show that the potential at the surface of a uniformly charged sphere of radius R...
Q2a) Show that the potential at the surface of a uniformly charged sphere of radius R is V=Kq/R where K = 1/4πɛ₀ and the zero of potential is at infinity). Hence derive an expression for the potential energy of the sphere. (Hint, assemble the sphere from the charges at infinity) b) A parallel plate capacitor has conducting plates, each of area A, situated at y=0 and y=d. two parallel dielectric sheets occupy the space between the plates. Dielectric of relative...
The potential at the surface of a sphere (radius R) is given by Vo=Kcos3D, Where D...
The potential at the surface of a sphere (radius R) is given by Vo=Kcos3D, Where D is theta,K is a constant. Find the potential inside and outside the sphere, as well as the surface charge density s(D) on the sphere.(Assume there is no charge inside or outside the sphere).
A sphere of radius R is completely submerged in a container of water. The sphere displaces...
A sphere of radius R is completely submerged in a container of water. The sphere displaces 1m^3 of water. What is the buoyant force? Assume the density of water ρw = 1000kg/m3 . Hint: The volume of a sphere is given by V = 4/3πR3 Then, find the density of the sphere given that its weight in air is 15, 000 kg · m/s2 and the radius R = 1m
A sphere of radius R, centered at the origin, carries charge density p = 3kcosO/rR4 where...
A sphere of radius R, centered at the origin, carries charge density p = 3kcosO/rR4 where k is a constant. Determine the monopole and dipole moments for this distribution and use it to determine an approximate potential at any point beyond the sphere.
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the...
Suppose a conducting sphere, radius r2, has a spherical cavity of radius r1 centered at the sphere's center. At the center of the sphere is a point charge -4Q. Assuming the conducting sphere has a net charge +Q determine the electric field,magnitude and direction, in the following situations: a) From r = 0 to r = r1. b) From r = r1 to r = r2. c) Outside of r = r2 d) find the surface charge density (charge per...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT