- #1
russdot
- 16
- 0
Hello,
Given a particular charge distribution p(r) = p_0*exp(-r[tex]^{2}[/tex]/a[tex]^{2}[/tex]), I was wondering if the proper way to calculate the mean radius <r> would be [tex]\int[/tex]p(r)*r*p(r) dV ?
Which would make <r[tex]^{2}[/tex]>[tex]^{1/2}[/tex] = ([tex]\int[/tex]p(r)*r[tex]^{2}[/tex]*p(r) dV)[tex]^{1/2}[/tex], correct?
Given a particular charge distribution p(r) = p_0*exp(-r[tex]^{2}[/tex]/a[tex]^{2}[/tex]), I was wondering if the proper way to calculate the mean radius <r> would be [tex]\int[/tex]p(r)*r*p(r) dV ?
Which would make <r[tex]^{2}[/tex]>[tex]^{1/2}[/tex] = ([tex]\int[/tex]p(r)*r[tex]^{2}[/tex]*p(r) dV)[tex]^{1/2}[/tex], correct?
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