- #1

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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?

- Thread starter Nusc
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- #1

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B = grad(A)

Find A

If one is given B z-hat

What mathematical operation would I apply to solve this?

- #2

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[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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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

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NoBy "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.

- #5

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SOrry folks I meant Curl

- #6

nrqed

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You already have another thread on exactly the same questionSOrry folks I meant Curl

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