Electronics and Communication Engineering - Exam Questions Papers - Discussion
Discussion Forum : Exam Questions Papers - Exam Paper 11 (Q.No. 8)
8.
Consider the following diagrams showing vector fields :
The correct statements are
The correct statements are
For figure (a), ∇ . 
= 0, ∇ x = 0
= 0, ∇ x = 0For figure (a), ∇ . = 0, ∇ x ≠ 0
= 0, ∇ x ≠ 0For figure (b), ∇ . = 0, ∇ x ≠ 0
= 0, ∇ x ≠ 0For figure (c), ∇ . = 0, ∇ x ≠ 0
= 0, ∇ x ≠ 0Answer: Option
Explanation:
In figure
Fx = 0 hence div F = ∇ . = 0, but curl F ≠ 0.
In figure
magnitude of F remains constant and hence ∇ . = 0 and also it is possible that ∇ . = 0, as there can be an electrostatic field in which 
and circulation around any closed path in it may be equal to zero.
In Figure
has a central field (radial).
∴ ∇ x = 0, ∇ ≠ 0.
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