03/26/2014

Gauss Law

 Here comes the solution 1~4:

#5

 Question 5: Electric Field Inside a Charged Solid Sphere

Show that the electric field INSIDE the solid uniformly charged sphere varies as:

E = [k Q/(R_{charged sphere})²](R/R_{charged sphere})

where R_{charged sphere} is the radius of the charged sphere (10 mm in the simulation), Q is the total charge on the sphere (adjustable with the Q slider), and R is the distance from the center of the sphere at the position where the electric field is being calculated.

E = kQ/r^2

   = k (charge density)V/r^2

    =k (Q/r^2) (charge density)/r^2

     =kQV/VR*r^2

     = kQ/r^2 * r^2/R^3

      =kQ/R^2*r/R