- #1
yungman
- 5,718
- 240
If we are given B, how can we find A? I can fine the magnitude of A by:
[tex] \int_{s'} \vec B \cdot d\vec{s'} = \int_{s'} (\nabla X \vec A) \cdot d\vec{s'} = \int_{C} \vec A \cdot d\vec{l}[/tex]
So given B and the surface area, you can get the magnitude of A.
But how do you get the direction information? All I know is A is orthogonal to B and [itex]\vec B = \nabla X \vec A [/itex]. But still I cannot find a formula to nail down the direction.
Anyone can help?
[tex] \int_{s'} \vec B \cdot d\vec{s'} = \int_{s'} (\nabla X \vec A) \cdot d\vec{s'} = \int_{C} \vec A \cdot d\vec{l}[/tex]
So given B and the surface area, you can get the magnitude of A.
But how do you get the direction information? All I know is A is orthogonal to B and [itex]\vec B = \nabla X \vec A [/itex]. But still I cannot find a formula to nail down the direction.
Anyone can help?