Does this equation have the correct units of measurement?

[gracy]

I have seen this in my book.Is this equation correct
$dW=F^→⋅dr^→$=$=-E^→.dr^→$
I don't think it is correct because $dW=F^→⋅dr^→$
has unit of joule whereas $- E^→.dr^→$ it's unit is volt.

 

[A.T.]

I have seen this in my book.Is this equation correct

It's hard to read, but I think it misses charge. V*C=J

 

[Nugatory]

I have seen this in my book.Is this equation correct
$dW=F^→⋅dr^→$=$=-E^→.dr^→$
I don't think it is correct because $dW=F^→⋅dr^→$
has unit of joule whereas $- E^→.dr^→$ it's unit is volt.

Any time the units don't balance you know something is wrong somewhere.

By the way, in Latex, \vec{E} will appear as $\vec{E}$... Often useful when working with vectors.

 

[jtbell]

And if you want to make a vector out of a single letter like E, the curly braces are optional. \vec E works just as well to produce $\vec E$. You need the braces only when the symbol is more than one character, e.g. \vec {AB} gives you $\vec {AB}$. \vec AB on the other hand gives you $\vec AB$.

 

[gracy]

/vec{F}

 

[gracy]

/vec{F}

 

[gracy]

$/vec{F}$

 

[gracy]

I am not able to write vectors.

 

[Chestermiller]

$/vec{F}$

You have to use the backslash \, not the front slash/.
$\vec{F}$

 

[gracy]

\vec{F}

 

[Chestermiller]

\vec{F}

And the ## before and after.

 

[gracy]

$\vec{F}$ PERFECT!