Machine-translated by Google. Questions are authored in English.
Top

Discussion

The identity \( \nabla \times (\nabla V) \) is equal to

  • A.the Laplacian of V
  • B.the gradient of the divergence of V
  • C.a vector of magnitude equal to the greatest slope of V
  • D.zero for any scalar field V

Answer: D

A gradient field has no circulation, so its curl vanishes identically. This is why a field that can be written as the gradient of a potential is necessarily irrotational, and it is the basis of the electrostatic potential.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.