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anonymous

  • 5 years ago

can someone explain me what is a conservative vector field

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  1. anonymous
    • 5 years ago
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    It's one in which the line integral of a closed loop is 0.

  2. anonymous
    • 5 years ago
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    Err the integral of the field dotted with the direction vector around the loop rather.

  3. anonymous
    • 5 years ago
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    I don't get the physical meaning.Could you please elaborate it??

  4. anonymous
    • 5 years ago
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    Think about it like gravity. Gravity is a conservative vector field. At any given point away from the earth, you have a certain amount of force that pulls you in the direction of the earth. If you move away you must expend energy. The amount of energy you use to move away increases your gravitational potential energy, and when you return to the same spot you will have regained that energy in kinetic energy (velocity).

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