PHYS 102 – Chapter 24 Review

 

(1)   Electric Flux :   ,    , 

 

(2)   Gauss’ Law :      ̃  

 

(3)   Charged Isolated Conductor in Electrostatic Equilibrium :

(i)                  Ein = 0

(ii)                Excess charge must reside on the surface.

(iii)               Just outside the conductor : E ^ surface , and E = s/eo

 

(4)   Cylindrical Symmetry (Line Charge ):     , r is the distance from the axis.

 

(5)   Planar Symmetry :

(i) Non-conducting Sheet :    ,     

(ii) Conducting Plate :    ,  

 

(6)   Spherical Symmetry :

(i)                  r ³ R ( Outside and on the surface ) :  ̃  just like a point charge.

(ii)                r < R ( Inside ) :

(a)    Shell ( Conducting or Insulating ) : E = 0 ( qenc = 0 )

(b)   Solid Conducting Sphere : E = 0 ( Ein = 0 for a conductor )

(c)    Solid Insulating Sphere :

where r is the distance from the center of the sphere.