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Question

If a vector field A is said to be solenoidal, then which one of the following relation is true ?

A
LA.dL=0
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B
×A0
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C
sA.ds=0
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D
×A=0
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Solution

The correct option is C sA.ds=0
(c)
If the divergence of a given vector is zero, then it is said to be solenoidal
.A=0
By Divergence theorem,
v(.A)dv=sA.ds

So, for a solenoidal field,
.A=0 and sA.ds=0

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