A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

what is a scalar and vector field?

  • This Question is Closed
  1. phi
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    scalar field: some function assigns a number to every location in space vector field: " " " " vector " " " " "

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    plz explain with example

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    A scaler field has a single number assigned to each point in the field. If the centre of a copper disc is heated while the edges are kept cool until an equilibrium is reached, you could calculate (in theory) the temperature at every point on the disc. The temperature is represented by a single number. A vector field has a magnitude and direction assigned to each point in the field. Pull the plug in your bathtub and watch the water spiral down. At each point the water has a speed and direction it is a vector field. Electric & magnetic fields are other examples of vector fields.

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when we heat a disc, heat also have a dirction towards edges then how it is scalar ?

  5. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    post your equation scalar in 2-D [eg a disc] might say: \(T(x,y) = x^2 - y^3 + e^y\) yes, silly and all in yur example, because heat might not distribute itself that way; but for every x and y value you will have a T(x,y) that is a scalar function. at (0,0), you will have T = 1 next, again in simple 2D, we might have \(\vec E = < xy \ e^x, y + cos x>\) this is a vector field. at (x,y) = (0,0), \(\vec E = <0,1>\)

  6. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    from a scalar field you can build a vector field using the directional derivative/ gradient.... is that what you are looking at?!?!

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what is differece between vector function and vector field ?

  8. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can say: \(\vec f(x,y,z) = \vec f ( \vec r)\) but why do you ask? do you have a specific example in mind? you started with a question about vector and scalar fields.

  9. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    to add to it: In physical sciences, a field is a physical space that has a value for each point in space [and time actually].

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i m confused about this whole topic thats why i was asked

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i m confuse about vector function and vector field repressention?

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.