Question

value of gradient f where f=1/r​

Answer 1

$\textbf{Given:}$

$\mathsf{f(r)=\dfrac{1}{r}}$

$\textbf{To find:}$

$\textsf{The value of f(r)}$

$\textbf{Solution:}$

$\underline{\textsf{Formula used:}}$

$\boxed{\mathsf{grad[f(r)]=\hat{r}\;\dfrac{d(f(r))}{dr}}}$

$\mathsf{Consider,}$

$\mathsf{f(r)=\dfrac{1}{r}=r^{-1}}$

$\mathsf{grad[f(r)]=\hat{r}\;\dfrac{d(f(r))}{dr}}$

$\mathsf{grad[f(r)]=\hat{r}\;\dfrac{d(r^{-1}))}{dr}}$

$\mathsf{grad[f(r)]=\hat{r}\;(-r^{-2})}$

$\implies\boxed{\mathsf{grad[f(r)]=\dfrac{-\hat{r}}{r^2}}}$

$\textbf{Find more:}$

Find divergence and Curl of f = (x2 + yz) i + (y2 + zx)j +

(z2 + xy) k.​

https://brainly.in/question/39951967