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21-Topaz II
December 7, 2015
Question

From MKS to GAUSS system E.M. fields transformations

  • December 7, 2015
  • 3 replies
  • 8119 views

Goodmorning everyone!

Is there anyone  who can fix this little problem?

Thanks a lot.

F. M.

eqtransf.jpg

3 replies

24-Ruby IV
December 7, 2015

Yes it is not a man - it is a competer

10-19-solve-must-be-so.png

-MFra-21-Topaz IIAuthor
21-Topaz II
December 7, 2015

What........?????

24-Ruby IV
December 7, 2015

F.M. wrote:

What........?????

Sorry, what what???

-MFra-21-Topaz IIAuthor
21-Topaz II
December 7, 2015

Thinking about it, with regard to the divergence operator, since I used the dot product, which is commutative (while the vector product is not) the program (considering both arguments as vectors) swaps the operator (seen as a vector) with the vgiven ector. Swapping that is not valid for the vector product.

25-Diamond I
December 7, 2015

You are right, that you can omit/delete the placholder for the variable in the gradient operator. But it seems that you deleted the placeholder for the function, too, and so you end up as Richard already stated with a simple variable. You see the multiplication dot between the nabla-symbol and the variable D or B.

I am not sure what you expected the nabla-symbol to be. Mathcad obviously gives you the result you expected anyway as the order of the operands in a product does not matter.

-MFra-21-Topaz IIAuthor
21-Topaz II
December 7, 2015

Thanks for the examples. I know what is written in the guide, and I've taken into account.

I use these operators since I was a boy.

The symbol is called nabla and it defines the gradient operator acting on a scalar.

Similarly to what is realized in mathcad for it, I would like to define the other two vector operators with the use of nabla: divergence and rotor that act on vectors.

-MFra-21-Topaz IIAuthor
21-Topaz II
December 7, 2015

The answer of Luke Meeks would be fine if I did not want to use nabla. That, however, I will. So far, there is no right answer.

23-Emerald IV
December 7, 2015

I think the closest you can get is to use the cross-product operator:

And I find the prefix notation result, with the nabla operator, intriguing.

Success
Luc

23-Emerald IV
December 7, 2015

OK. the nabla symbol is not available in Mathcad 11, but,

using the undocumented symbolic functions Diff() and diff()

that produce respectively calculate (partial) derivatives of

the (assumed function) first parameter to the second parameter:

you can get this:

For those who can benefit from it.