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GATE 2015 EE -SET 1 - Question 4

Solution : ∇ .\overline{F} = \frac{1}{^{r}2} \frac{\partial }{\partial r} ( r2 x  \bar{F_{r}})

=\frac{1}{^{r}2} \frac{\partial }{\partial r} ( r2 x \frac{1}{r^{2}} \bar{r}

∇ .\overline{F}\frac{1}{^{r}2} \frac{\partial }{$$\partial r} (1) = 0.

Using Gauss theorem

 

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