- #1
Caio Graco
- 40
- 2
Is a constant vector field like F = kj conservative? Since the work of F for any closed path is null it seems that F is conservative but for a force to be conservative two conditions must be satisfied:
a) The force must be a function of the position.
b) The circulation of force is zero.
My question is about the first condition. For the given vector field I believe that there is no dependence on the position, because the field does not depend on any of the x, y, or z coordinates. And if so, the given field is non-conservative. The relation of this doubt with the Physics is given as far as the uniform gravitational field or electric.
a) The force must be a function of the position.
b) The circulation of force is zero.
My question is about the first condition. For the given vector field I believe that there is no dependence on the position, because the field does not depend on any of the x, y, or z coordinates. And if so, the given field is non-conservative. The relation of this doubt with the Physics is given as far as the uniform gravitational field or electric.