하계 물리학 특강 과제 2 (마감: 8/19 목 자정)
1. The volume in cylindrical coordinates between
r=2 and r=4 contains a uniform charge density
. Use Gauss’ law to find the electric field in all
regions.
2. A point charge Q is at the origin of a
spherical coordinate system. Find the flux which
crosses the portion of a spherical shell described
by  ≤  ≤ . What is the result if    and

  ?

3. (1) Compute the electric potential of a dipole  at       .
 
 ∙
 
  
(2) Show that the electric field by the dipole is given by 
.
 
 
4. Compute the potential energy of a uniformly charged sphere of radius R and
charge density .