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Throughout a certain region a vector field is found to have no circulation whatever. Such a field is called

  • A.uniform
  • B.harmonic
  • C.irrotational or conservative
  • D.solenoidal

Answer: C

Correct answer: irrotational or conservative

No circulation means the curl vanishes and every closed line integral is zero, so the integral between two points depends only on the endpoints. That is what allows a potential function to be defined, and it is why the electrostatic field can be written as the gradient of a voltage.

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