Question

A conducting sphere of radius "a" is placed in a uniform electrostatic field E. If the...

A conducting sphere of radius "a" is placed in a uniform electrostatic field E. If the sphere is well insulated, find the expressions for potential and electric fields V and E at point P lying outside the sphere. Also obtain the expression for the induced surface charge density and show that it forms a dipole distribution. Specify boundary conditions.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A perfectly conducting sphere with radius a is placed in a uniform electric field Eo (a)...
A perfectly conducting sphere with radius a is placed in a uniform electric field Eo (a) What is the surface charge density on the sphere? (b) What is the induced dipole moment of the sphere?
A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium....
A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. As shown in the image, the inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 300 nC and the spherical shell has zero net charge. Take the value of k as 8.99 × 109 N·m2/C2. 13. Determine the...
A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of...
A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of 0.200 m has a uniform surface charge density of +6.47 × 10−6 C/m2. A charge of -0.400 μC is now introduced into the cavity inside the sphere. a)What is the new charge density on the outside of the sphere? b)Calculate the strength of the electric field just outside the sphere c)What is the electric flux through a spherical surface just inside the inner surface...
A hollow, conducting sphere with an outer radius of 0.260 mm and an inner radius of...
A hollow, conducting sphere with an outer radius of 0.260 mm and an inner radius of 0.200 mm has a uniform surface charge density of +6.57 ×× 10−6−6 C/m2C/m2. A charge of -0.700 μCμC is now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? Calculate the strength of the electric field just outside the sphere. What is the electric flux through a spherical surface just inside the inner surface...
A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of...
A hollow, conducting sphere with an outer radius of 0.260 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 × 10−6 C/m2. A charge of -0.700 μC is now introduced into the cavity inside the sphere. a) What is the new charge density on the outside of the sphere? b) Calculate the strength of the electric field just outside the sphere. c) What is the electric flux through a spherical surface just inside...
A conducting sphere with a radius of R = 9.3 mm has a uniform and constant...
A conducting sphere with a radius of R = 9.3 mm has a uniform and constant surface charge density of teta= 10 nC / m2. What will be the magnitude of the electric field produced by that sphere at a distance from the center of the sphere der = 23.5 cm?
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.
The electrostatic potential on the surface of a sphere of radius a is given by V(theta)=V0cos2(theta)....
The electrostatic potential on the surface of a sphere of radius a is given by V(theta)=V0cos2(theta). Solve the boundary=value problem for the sphere and find the electrostatic potential everywhere inside the sphere. Note: cos is squared.
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...
Consider a grounded conducting sphere of radius a in the presence of a point charge q...
Consider a grounded conducting sphere of radius a in the presence of a point charge q a distance d away from the center of the sphere. a)Show that the electric field E is everywhere normal to the surface of the sphere. b)Calculate the induced charge per unit area on the surface of the sphere. c)Show that the total induced charge is -qa/d. d)Calculate the total force between the point charge and the sphere. e)Show that your solution satisfies Laplace’s equation.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT