- #1

pieuler

- 3

- 2

- Homework Statement
- Given a cube carrying current, such that the current enters and leaves the cube at any two arbitrary points, prove that the magnetic field at the centre of the cube will always be 0.

- Relevant Equations
- Biot Savart Law

Ampere Circuit law

I could solve a similar (rather, a specific case of the above) where the current entered through a

corner and left from the corner opposite to it along the body diagonal of the cube. For this specific case, I was able to easily exploit symmetry to deduce the answer (0). However, I cannot think of any suitable technique (eg. symmetry) for the general version.

PS. I have basic knowledge of calculus and vectors, but not so much of 'vector calculus'. Any intuitive guidance/hints/solutions are appreciated.

corner and left from the corner opposite to it along the body diagonal of the cube. For this specific case, I was able to easily exploit symmetry to deduce the answer (0). However, I cannot think of any suitable technique (eg. symmetry) for the general version.

PS. I have basic knowledge of calculus and vectors, but not so much of 'vector calculus'. Any intuitive guidance/hints/solutions are appreciated.

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