Physics-Gauss' Law

posted by .

1. If a surface is a 10 meter by 10 meter plane lying in the y-z plane, what is the vector representing the area of the plane?

2. If a sphere of radius 2 meters is placed in a uniform electric field of 3 N/C, what is the net flux through the sphere?

3. Show how Gauss's Law can be used to derive Coulomb's law for a single charge. Explain any simplifications and draw your Gaussian surface.

  • Physics-Gauss' Law -

    100 in the x direction or 100 i

    the cross section hit perpendicular to the field is pi r^2

    draw sphere centered at origin around charge Q at origin
    By symmetry E is constant over surface of sphere at any radius r (surface area 4 pi r^2)
    net flux through surface of sphere = E*(4 pi r^2) = Q /eo
    so
    E = Q/(4 pi r^2 eo)
    done

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. college physics

    The electric field near the surface of a uniformly charged conducting plane can be determined by Gauss's law. If the plane is a square of sides 11.5 cm and carries a charge of 22.0 nC (that's nanocoulombs), what is the magnitude of …
  2. Geometry

    A plane intersects a sphere that has a radius of 13cm. The distance from the center of the sphere to the closest point on the plane is 5 cm. What is the radius of the circle that is the intersection of the sphere and the plane?
  3. physics

    a crate weighing 3500 newton down an inclined plane at constant speed. The plane is 7.5 meter long. Its height is 3.0 meter. What is the coefficient of sliding friction between the crate and the inclined plane?
  4. Precalc

    Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and P1(13, 18, 5) [not on plane] A. Find vector n, a vector normal to the plane B. Find vector v from P0 to P1 C. Find the angle between vector n and vector v D. Find …
  5. physics

    A wire of radius one meter is centered on the origin in the xy plane. This wire carries a total charge of +Q. Another wire of length two meters runs along the z-axis and is centered at the origin. It carries total charge -Q. What is …
  6. geometry

    A plane intersects a sphere that has a radius of 13 cm. The distance from the center of the sphere to the closest point on the plane is 5 cm. What is the radius of the circle that is the intersection of the sphere and the plane?
  7. physics

    solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle รจ = 30o. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and …
  8. physics

    A solid sphere rolls up an inclined plane of inclination angle 35 degrees. At the bottom of the incline, the center of mass of the sphere has a translational speed of 13 ft/s. How far (in feet) does the sphere roll up the plane (distance …
  9. physics

    what force parallel to an inclined plane of height 3 meter and base 4 meter can just support a block mass 500 gram on the plane ?
  10. Math

    A sphere has a radius of 16 cm and a plane passes thru it at 9 cm below the center, what is the area of the intersection between the plane and the sphere?

More Similar Questions