Recent content by ATOMICJOCK

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    Proving vector identity using levi-civita tensor help

    Thanks very much for the help; although more lines would help.
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    Proving vector identity using levi-civita tensor help

    It makes sense, but would be nice to see the completed end result, brain just isn't working at the moment.
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    How Does a Static Magnetic Field Behave in a Homogeneous Medium?

    A static magnetic field in a homogeneous, linear, medium with permeability μ0 is given in cartesian coordinates by: B(x, y, z) = B0 tanh (x/L) z where L is a constant. a) Sketch Bz as a function of x/L. b) What current density, j(x,y,z) produced this magnetic field? c) Sketch any...
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    Proving vector identity using levi-civita tensor help

    Lol I still don't understand. I mean i know the basic definition of the Levi-Civita Tensor, but that's it...realy need detailed step for this question to understand it.
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    Proving vector identity using levi-civita tensor help

    but A is a vector function, and f is a scalar function...I'm sorry i haven't had much sleep, could you please write everything out.
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    Proving vector identity using levi-civita tensor help

    PENGUINO, Thanks for the reply; but can you provide this answer as a step by step solution please? I'm a visual person, and prefer to see everything so that i can learn.
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    Proving vector identity using levi-civita tensor help

    Using the fact that we can write the vector cross-product in the form: (A× B)i =ε ijk Aj Bk , where εijk is the Levi-Civita tensor show that: ∇×( fA) = f ∇× A− A×∇f , where A is a vector function and f a scalar function. Could you please be as descriptive as possible; as I'm not sure...