Purchase Solution

Electric Field Around a Conducting Cylinder

Not what you're looking for?

Ask Custom Question

Please see the attached file:

3. Consider the case of an infinite conducting cylinder of radius 'a' with a uniform charge per unit length lambda placed in a uniform electric field with the axis of the cylinder perpendicular to the direction of the field. The potential generated by such a system maybe written as: (See attachment for equation)
a. calculate the electric field in the region outside the cylinder
b. calculate the charge distribution induced on the surface of the cylinder
c. calculate the force per unit length experienced by the cylinder

Attachments
Purchase this Solution
Solution Summary

This entry considers an important question of a conducting cylinder placed in an external uniform electric field.
Electric field induced in the whole space is calculated, as well as the charge density on the surface of the cylinder and forces acting on the cylinder. Basic principles of electrostatics of conductors are nicely illustrated in this
example. Technical details of calculations are provided.

Purchase this Solution
Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

View More Free Quizzes
Related BrainMass Solutions

  • Electric field near grounded conducting cylinder

    67760 Electric field near grounded conducting cylinder Consider a grounded conducting cylinder of radius, a, in a uniform electric field, E0 in the x direction. Let the cylinder axis be the z-axis.

  • Electricity problems

    Find expressions for the electric field strength. A) Inside the cylinder (rCylinder (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".

  • Cylindrical Capacitor: Gauss Law

    The charge per unit length of the inner conducting cylinder (r=a) is lembda, and that on the outer conducting cylinder (r=c) is -lembda.

  • Physics: Magnitude and the direction of an electric field

    c) & d) As mentioned earlier, electric field inside a conductor is zero.

  • A particle with charge q is at the origin: Determine the path and center and radius of any circles

    An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder. (a) Find the electric field everywhere inside and outside the cylinder.

  • Electric field due to coaxial cable

    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.

  • Electrostatics

    373844 Four problems on electric field, charge, flux, charge density 1. A conducting rod of radius R1 = 1.57mm and length l=13.9m inside a thin-walled coaxial conducting cylindrical shell of radius R2=13.0R1 and the (same) length l.

  • Discussing Gauss's Law

    56498 Discussing Gauss's Law A very long, insulating, cylinder with a radius of 1.0 cm has a uniform positive charge density of 1.0 C / m^3. (a) What is the magnitude of the electric field 0.5 cm from the center of the cylinder?

  • Would this Cause you to Doubt the Advertiser's Claim?

    An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder. (a) Find the electric field everywhere inside and outside the cylinder.

View More Related Solutions