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  • Thread starter Nusc
  • Start date
754
2
1. Homework Statement
B = grad(A)

Find A
If one is given B z-hat
2. Homework Equations


3. The Attempt at a Solution

What mathematical operation would I apply to solve this?
 

Answers and Replies

neu
220
1
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]
 
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.
 
754
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.
 
754
2
SOrry folks I meant Curl
 
nrqed
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