1. Consider the following diagrams showing vector fields :
The correct statements are
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By: guest on 02 Jun 2017 12.56 am
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.