Differentiating electromagnetic field

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Homework Help Overview

The discussion revolves around differentiating electromagnetic fields, specifically focusing on a problem identified as question 2. Participants are seeking clarification on the differentiation process within this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express uncertainty about how to differentiate the electromagnetic field, with one providing a general formula for total derivatives. There is also mention of a specific case involving a vector-valued function.

Discussion Status

The discussion is ongoing, with participants clarifying the specific question being addressed and sharing relevant mathematical expressions. There is no explicit consensus yet, but some guidance has been offered regarding total differentials.

Contextual Notes

There is some confusion regarding the question number, as participants have noted discrepancies in their references to the problem. This may affect the clarity of the discussion.

jlmac2001
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For question 3, i don't know ho to differentiate the electromagnetic field. Can someone help me?
 

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correction

It's question 2
 
If F(x,y,z,t) the "total derivative of F is:
[tex]\frac{\partial F}{\partial x}dx+\frac{\partial F}{\partial y}dy+\frac{\partial F}{\partial z}dz+\frac{\partial F}{\partial t}dt[/tex]
 
help with #2 not #3

I put the wrong question number down. It's #2 that I need help with. Can someone help?
 
Odd. Your second post telling us that it is "problem 2 not problem 3" appears after my post but with an earlier "time stamp".

In any case, I have already given the general formula for "total differential". You might also want to know that, for a vector valued function E, [tex]\frac{\partial(E.E)}{\partial x}= 2E.\frac{\partial E}{\partial x}[/tex]. That should be all you need.
 
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