Physics

A long cylindrical insulator has a uniform charge density of 1.0 #C/m3 and a radius of
9.0 cm.
a) What is the electric field inside the insulator at a distance of 4 cm?
b) What is the electric field at 17 cm?
c) How much work must you do to bring a q = 0.05 #C test charge from 17 cm
to 4 cm?

  1. 👍
  2. 👎
  3. 👁
  1. # means micro

    1. 👍
    2. 👎
  2. Use Gauss' Law inside and outside the cylinder
    a) Inside a uniformly charged cylinder of radius r < 0.09 m, there will be
    Q = 10^-6 * pi*r^2*L Coulombs

    Gauss' Law says, for this geometry, that
    2*pi*r*L*E(r) = Q/epsilon
    = 10^-6 * pi*r^2*L
    Therefore
    E(r) = 10^-6*r/(2*epsilon)
    = 2260 Volt/m at r = 0.04 m

    For epsilon, I used 8.85*10^-12 C^2/(N*m^2)

    (b) Let R = 0.09 m be the solid cylinder radius. r = 17 cm is outside the solid cylinder. The charge inside an outer cylinder of radius r > R is
    Q = 10^-6*pi*R^2*L
    and the E- field at r > R is again given by Gauss' law
    2 pi*r*L*E(r) = 10^-6*pi*R^2*L
    E(r) = 10^-6 R^2/(2*r*epsilon)
    = 5085*(R/r) Volt/m

    c) integrate
    (test charge)*E*dr from r = 17 to r = 4 cm. You will have to do in in two parts, inside and outside r = R, since the formulas are different in the two regions.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a cylindrical storage tank has a radius of 1.05m. when filled to a height of 3.79m, it holds 13500kg of a liquid industrial solvent. what is the density?

  2. physics

    please,i need help on this question:a thin circular ring of radius 20cm is charged with a uniform charge density(rho),if a small section of 1cm length is removed from the ring.calculate the electric field intensity at the center

  3. science

    is paper towel a conductor or insulator? How good does it conduct or insulate. insulator. Dry paper is a good insulator.

  4. physics help please!!!

    What is the angular momentum of a 2.5 kg uniform cylindrical grinding wheel of radius 19 cm when rotating at 1200 rpm? And how much torque is required to stop it in 5.7 s? Need help with step-by-step explanation.

  1. SCIENCE

    A thin circular ring, of radius 20cm, is charged, with a uniform charge density(rho). If a small section, of 1cm length, is removed from the ring. Calculate the electric field intensity at the center of the ring.

  2. mathematics

    A cylindrical container is 15cm long. It has a radius of 7 cm. What is the volume of the cylindrical container?

  3. chemistry

    Gallium Arsenide ---------------- The charge carrier density of GaAs at 31o C is 2.25x106 cm-3. What is the charge carrier density (in cm-3) at 175oC? (The bandgap of GaAs is 1.42 eV. ) I am trying with arrhenius relationship but

  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

  1. physics

    A rotating uniform cylindrical platform of mass 240 kg and radius 5.7 m slows down from 3.9 rev/s to rest in 16 s when the driving motor is disconnected.

  2. Electricity

    if an electrically uncharged body is contacted by an electrically charged body,the uncharged body will? A)develop the opposite charge as the charged body. B)remain na neutrally charged body. C)develop the same charge as the

  3. PHYSICS

    What is the angular momentum of a 2.7 kg uniform cylindrical grinding wheel of radius 12 cm when rotating at 1600 rpm? How much torque is required to stop it in 4.4 s?

  4. physics

    A positively charged solid sphere of radius 100 mm has a uniform volume charge density of 250 nC/m^2. Determine the electric field (a) 20 mm, (b) 90 mm, and (c) 110 mm from the center of the sphere.

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