Question

A vector field (Ā) is said to be solenoidal if
a. curl of (A) = 1
O b. lal=0
c. div of (A) = 0
d. curl of (A) = 0​

Answer 1

Answer:

field. It is called the gradient of f (see the package on Gradi- ... If F(x, y) is a vector field, then its divergence is written as ... −1 r3. ,. (b). 0 ,. (c). −2 r3. ,. (d). 3 r3 . 3. Choose the curl of F(x, y

Answer 2

Answer:

A vector field (Ā) is said to be solenoidal if

C). div of (Ā)  = 0

Explanation:

1. In vector calculus a solenoidal vector field (also known as an incompressible vector field) is a vector field v with divergence zero at all points in the field; The fundamental theorem of vector calculus states that any vector field can be expressed as the sum of a solenoidal field and an irrotational.
2. Also if a Vector A satisfies the condition: ∇⋅A=0, it is called a solenoidal vector.
3. The one that would produce no rotation of an infinitesimal paddle wheel device, if the field is considered to be one of fluid flow is solenoidal vector.

Hence if the divergence of a vector field is zero, it is said to be the solenoidal.

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