Question
Show that →∇(ln r ) = →r/r 2
Answer :
Word Count : 185
_________ ___ _______ ____ ________ ____ _______ ________ _____ _____ ____ __________.
_______ ________ ______ ______ _______ ______ ________ ___ ________.
___ ____ _________ _____ _____ __________ ___ _________ _____.
_______ ____ _______ _____ _____ ______ _____ ___ _______.
________ ______ ___ _____ _____ ____ ________ __________ ________ _____.
____ _________ __________ ___ ______ _______ __________ __________ ______ _______ ______.
____ _____ ________ __________ ____ ________ _______ _________ ________ _______ ________ __________.
_______ __________ _________ ____ ________ ___ ___ __________ ____ __________ ______ ________.
__________ ________ _______ ____ _____ ____ _________ ________ __________ ______ ______.
__________ ___ _______ _________ _______ ___ _______ ______ _________ _______.
____ ________ _____ ________ ________ _________ __________.
Skip in 10
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
_____ _____ ______ _____ _______ _____._________ ___ _______ ____ ________ ____ _______ ________ _____ _____ ____ __________.
_______ ________ ______ ______ _______ ______ ________ ___ ________.
___ ____ _________ _____ _____ __________ ___ _________ _____.
_______ ____ _______ _____ _____ ______ _____ ___ _______.
________ ______ ___ _____ _____ ____ ________ __________ ________ _____.
____ _________ __________ ___ ______ _______ __________ __________ ______ _______ ______.
____ _____ ________ __________ ____ ________ _______ _________ ________ _______ ________ __________.
_______ __________ _________ ____ ________ ___ ___ __________ ____ __________ ______ ________.
__________ ________ _______ ____ _____ ____ _________ ________ __________ ______ ______.
__________ ___ _______ _________ _______ ___ _______ ______ _________ _______.
____ ________ _____ ________ ________ _________ __________.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.