A long, thin straight wire with linear charge density -λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. Find expressions for the electric field at the following locations. Use lambda for λ, pi for π, epsilon_0 for ε0, r for r, and R for R.

(b) outside the cylinder, r > R

  1. 👍
  2. 👎
  3. 👁
  1. Use Gauss' law. Because of symmetry, the E field will be radially outward and a function of r only.

    The product of E and the area of any imaginary concentric cylinder (Gauss' law surface) outside r = R is equal to the charge inside the cylinder, divided by epsilono. E will be inversely proportional to r.

    Review or use Google look up Gauss' law if you are unfamiliar with it. Here is one good reference among many:

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physic please check

    A +6.00 µC charge is moving with a speed of 7.00 x 10^4 m/s parallel to a very long, straight wire. The wire is 5.00 cm from the charge and carries a current of 63.0 A in a direction opposite to that of the moving charge. Find

  2. Physics

    One mole of tungsten has a mass of 184 grams, and its density is 19.3 grams per cubic centimeter, so the center-to-center distance between atoms is 2.51×10-10 m. You have a long thin bar of tungsten, 2.2 m long, with a square

  3. Physics-Gauss' Law, hard

    Thank you Damon for answering my first questions fast and accurately. Do you or anybody else know how to do these harder Gauss' Law Problems? 1. A solid metal sphere of radius R has charge +2Q. A hollow spherical shell of radius

  4. Physics

    A 550 turn solenoid is 15 cm long. The current in it is 33 A. A 3.0 cm long straight wire cuts through the center of the solenoid, along a diameter. This wire carries a 22 A current downward( and is connected by other wires that

  1. physics

    A long, vertical, straight wire carries a current I going upwards. The wire is perpendicular to the plane of a circular metal loop and passes through the center of the loop. The loop is allowed to fall and maintains its

  2. physic

    A long straight horizontal wire carries a current = 3.90 A to the left. A positive 1.00 C charge moves to the right at a distance 1.50 m above the wire at constant speed v = 5000 m/s. What is the magnitude of the magnetic field at

  3. physics

    You place a point charge q = -4.00 nC a distance of 9.00 cm from an infinitely long, thin wire that has linear charge density 3.00×10−9C/m. What is the magnitude of the electric force that the wire exerts on the point charge?

  4. Physics concept question

    A long straight horizontal wire carries a current I = 2.10 A to the left. A positive 1.00 C charge moves to the right at a distance 4.50 m above the wire at constant speed v = 2250 m/s. What are the magnitude and the direction of

  1. physics

    A uniform thin wire is bent into a semicircle of radius r. Determine the coordinates of its center of mass with respect to an origin of coordinates at the center of the "full" circle. Because wire is uniform x (sub cm) = 0 mass=dm

  2. 11th grade Physics

    A long,straight current-carrying wire runs from north to south. A) A compass needle placed above the wire points with its N-pole toward the east. In what direction is the current flowing? B) If a compass is put underneath the

  3. physics

    A thin 12 cm long solenoid has a total of 460 turns of wire and carries a current of 2.1 A. Calculate the magnitude of the field inside near the center.

  4. Physics

    An infinitely long line charge of uniform linear charge density λ = -3.00 µC/m lies parallel to the y axis at x = -2.00 m. A point charge of 4.70 µC is located at x = 1.50 m, y = 2.50 m. Find the electric field at x = 2.50 m, y

You can view more similar questions or ask a new question.