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The curl of a vector field at a point measures

  • A.the circulation per unit area round a vanishing loop there
  • B.the outward flux per unit volume from a vanishing volume there
  • C.the rate of change of the field along the direction of the field
  • D.the scalar rate at which the field lines diverge from the point

Answer: A

It is a vector whose direction is the normal to the loop giving the greatest circulation, fixed by the right hand rule. Applied to the magnetic field it gives the current density, which is Ampere's law in differential form.

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