IGNOU PHE 4 2018 - Show that →∇(ln r ) = →r/r 2

Question

Show that ^→∇(ln r ) = ^→r/r ²

25 Jan 2018

Answer :

Word Count : 185

The problem you presented involves calculating the gradient of the function \( \ln r \), where \( r \) is the radial distance. To compute this numerically, we recognize that the gradient in spherical coordinates is given by: \[ \vec{\nabla} \left( \ln r \right) = \frac{\vec{r}}{r^2} \] This is derived from the general properties of the gradient operator in spherical coordinates. ### Step-by-Step Breakdown: - \( \ln r \) is

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