Gauss's Law

Problems

practice

1. The electric field near the surface of the Earth has a magnitude of approximately 150 V/m and points downward. Determine the following quantities for the Earth…
   1. the net charge (including sign)
   2. the surface charge density in coulombs per square meter (including sign)
   3. the surface charge density in elementary charges per square meter (indicate wheter the charge is due to an excess or deficit of electrons)
2. Two conducting spheres are concentrically nested as shown in the cross-sectional diagram below. The inner sphere has a radius of 3 cm and a net charge of +12 μC. The outer spherical shell has an inner radius of 6 cm, an outer radius of 8 cm, and a net charge of −6 μC.

   Magnify

   1. Determine the net charge on the…
      1. inner surface of the outer spherical shell
      2. outer surface of the outer spherical shell
   2. Complete the following table.

      distance from center (cm)	electric field (MV/m)		electric potential (MV)
      	direction	magnitude
      0
      1
      2
      3
      4
      5
      6
      7
      8
      9
      10

   3. Sketch the following quantities as functions of distance from 0 to 10 cm.
      1. magnitude of the electric field
      2. electric potential
3. Write something.
4. Write something completely different.

conceptual

1. problem