Question

12. A vector field which has a
vanishing divergence is called as​

Answer 1

Answer:

it's called as solenoidal vector field

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Answer 2

Answer:

A vector field which has a vanishing divergence is called as​  Solenoidal Vector Field.

Explanation:

Let the given vector field be '$f$', then the divergence of the vector field can be given as :

$\Delta. \bar{f}$  (Where, $\Delta$ is delta function given by $\frac{\delta}{\delta(x)} i+\frac{\delta}{\delta(y)} j+\frac{\delta}{\delta(z)} k$)

Now, if the divergence of the given vector field is zero

i.e.

If $\Delta.f = 0$

$\implies f$ is a Solenoidal Vector field.

Therefore, A vector field which has a vanishing divergence is called as​ Solenoidal vector field.

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