Explore BrainMass
Share

Electric field due to coaxial cable

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

A long coaxial cable consists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer radius c. The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length lambda.

Calculate the magnitude of the electric field at any point between the cylinders a distance r from the axis.
Express your answer in terms of the variables a, b, c, r, lambda, and constants pi and epsilon_0.

Find the direction of the electric field at any point between the cylinders a distance r from the axis.

Calculate the magnitude of the electric field at any point outside the outer cylinder a distance r from the axis.
Express your answer in terms of the variables a, b, c, r, lambda, and constants pi and epsilon_0.

Find the direction of the electric field at any point outside the outer cylinder a distance r from the axis.

Find the charge per unit length on the inner surface and on the outer surface of the outer cylinder.

© BrainMass Inc. brainmass.com October 24, 2018, 11:41 pm ad1c9bdddf
https://brainmass.com/physics/charge/electric-field-due-to-coaxial-cable-202053

Solution Summary

Step by step solution provided.

$2.19
See Also This Related BrainMass Solution

Electricity problems

1. Two spherical drops of mercury each have a charge of 0.1 nC and a potential of 300v at the surface. The two drops merge to form a single drop. What is the potential at the surface of the new drop?

2. A long thin straight wire with linear charge density (lambda) runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density (2 * lambda) . Assume (lambda) is positive. Find expressions for the electric field strength.

A) Inside the cylinder (r<R)
B) Outside the Cylinder (r>R)

In what direction the electric field points in each case?

3. A hollow metal sphere has inner radius "a" and outer radius "b". Hollow sphere has charge + 2Q. A point charge + Q sits at the centre of the hollow sphere.

a) Determine the electric fields in the three regions r<= a, a<r<b and r>= b.

b) How much charge is on the inside surface of the hollow sphere and outside surface?

4. The conducting charge in the attached figure has been given an excess negative charge. The surface density of excess electrons at the center of the top surface is 5 * 10^10 electrons / m^2.

What are the electric field strengths E1 to E3 at points 1 to 3?

View Full Posting Details