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  • Thread starter Nusc
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  • #1
753
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Homework Statement


B = grad(A)

Find A
If one is given B z-hat

Homework Equations




The Attempt at a Solution



What mathematical operation would I apply to solve this?
 

Answers and Replies

  • #2
neu
220
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Do you know what grad is?
[tex]B= \nabla A= \left(\frac{\partial}{\partial x}\hat{\textbf{x}} + \frac{\partial}{\partial y}\hat{\textbf{y}} + \frac{\partial}{\partial z}\hat{\textbf{z}}\right) A[/tex]
 
  • #3
HallsofIvy
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By "one is given B z-hat" do you mean you are given only the z-component of grad A?
Then there are many solutions. For example, if we are given that the z-component of grad A, then A can be any function of x,y- as long as it has no dependence on z, the z-component of grad A is 0.

Since the grad of a function is a derivative, the "mathematical operation" you would use to find A is the anti-derivative or "indefinite" integral.
 
  • #4
753
2
By "one is given B z-hat" do you mean you are given only the z-component of grad A?


Then there are many solutions. For example, if we are given that the z-component of grad A, then A can be any function of x,y- as long as it has no dependence on z, the z-component of grad A is 0.
No

Since the grad of a function is a derivative, the "mathematical operation" you would use to find A is the anti-derivative or "indefinite" integral.
 
  • #5
753
2
SOrry folks I meant Curl
 
  • #6
nrqed
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SOrry folks I meant Curl
You already have another thread on exactly the same question
 

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