- #1
klabautermann
- 34
- 0
good evening!
i am trying to calculate the electric field of a spherical charge distribution ρ=ρ[itex]_{0}[/itex]e[itex]^{-kr}[/itex], where r is the radial distance. i am a little bit embarressed,but i have to say that i am not comfortable with spherical coordinates in practical calculations. i would appreciate if somebody could help me thru this:
the field is independent of the angels, so it is sufficient to look at the z-axis. i choose r=z the distance should be given by:
[itex]
\mid r-r'\mid^{2}=z^{2}+r'^{2}-2zr'cos\theta'
[/itex]
now, to caluclate the coulombintegral i need the differencevector between the source and the field points. how would i do that?
thanks in advance for your help!
i am trying to calculate the electric field of a spherical charge distribution ρ=ρ[itex]_{0}[/itex]e[itex]^{-kr}[/itex], where r is the radial distance. i am a little bit embarressed,but i have to say that i am not comfortable with spherical coordinates in practical calculations. i would appreciate if somebody could help me thru this:
the field is independent of the angels, so it is sufficient to look at the z-axis. i choose r=z the distance should be given by:
[itex]
\mid r-r'\mid^{2}=z^{2}+r'^{2}-2zr'cos\theta'
[/itex]
now, to caluclate the coulombintegral i need the differencevector between the source and the field points. how would i do that?
thanks in advance for your help!