Electric Field due to continuous charge distribution.pptx

electric

1. Electric Field due to continuous charge distribution Irsan,S. Pd ., M.Si .

2. Charge on surface of system are located very closely together and can be assumed to have continuous distribution of charges. In a system of closely spaced charges, charges could be continuously distributed a long Some line Over a surface Throughout a volume continuous charge distribution

3. Charged system with continuous distribution of charge can be divided into very small elements with charge as shown below in the figure   Electric Field due to continuous charge distribution Electric field at A due to charged element is   Total e lectric field at A due to all the charged elements  

4. For charge distributed continuously over some region, the sum become integral. So total field at point A within the limit is This integral is done over the entire charge distribution .   Electric Field due to continuous charge distribution

5. When distribution of charge is uniformly along the line then it is called linear charge distribution. Line charge density , =charge uniformly distributed over the line = length of the line Unit of is Coulomb/meter (C/m) For non-uniform distribution of charge   Line charge

6. When the charge distribution is over a particular area then the distribution is called as surface charge distribution. Surface charge density , = charge uniformly distributed over surface of area . Unit of is For non-uniform charge distributions   Surface Charge

7. When the charge distribution is over a particular volume then the distribution is called as volume charge distribution. Volume charge density , = char uniformly distributed over system of volume Unit of is For non-uniform charge distributions   Volume Charge

8. Electric Field of a Line Segment Find the electric field a distance  z  above the midpoint of a straight line segment of length  L  that carries a uniform line charge density  .     The electric field for a line charge is given by the general expression      

9. The Field of a Disk Find the electric field of a circular thin disk of radius  R  and uniform charge density at a distance  z  above the center of the disk   The electric field for a surface charge is given by   The vertical component of the electric field is extracted by multiplying by       

10. Electric field of sphere Find the electric field a distance z above a sphere with volume charge density and radius   The electric field for a volume charge is given by   The vertical component of the electric field is   So Electric Field outside sphere is