What are the units for the right side of this equation?

[smithj1990]

<br /> \nabla\times\mathbf{B} = \mu_o\mathbf{J} + \mu_0\epsilon_0\frac{\partial\mathbf{E}}{\partial t}<br />

someone tell me what the units are for the right side of this equation?

is it T*(m^2)/s ?

 

[berkeman]

<br /> \nabla\times\mathbf{B} = \mu_o\mathbf{J} + \mu_0\epsilon_0\frac{\partial\mathbf{E}}{\partial t}<br />

someone tell me what the units are for the right side of this equation?

is it T*(m^2)/s ?

The units have to be the same for the LHS and RHS of the equation, and the units have to match for the two terms on the RHS.

Can you show the units for each of the 3 terms (1 on LHS and 2 on RHS)? Start with the obvious units, and then express the composite units in terms of the fundamental mksA units...

 

[smithj1990]

well the left hand side is T and the first part of the right hand side is F*A/m and I am really not too sure about the rest..

 

[berkeman]

well the left hand side is T and the first part of the right hand side is F*A/m and I am really not too sure about the rest..

No, when you take the vector curl, what are you doing to the B field? And beyond that, what are the fundamental mksA units of a Tesla? Either your textbook should have a handy Units guide, or you can find one in the Internet. My Applied EM text by Plonus has a great Units guide inside the front cover, and a Vector Operations guide in all 3 coordinate systems inside the back cover...

And what are the units for each of the constants in the equation?

 

[smithj1990]

well i know that 1 Tesla is 1 kg/(A\dots^2)

i don't really understand vector curl.. i try to go about this by the integral approach over a closed loop. can someone explain this to me.. or at least tell me if my original thought is correct?

 

[berkeman]

well i know that 1 Tesla is 1 kg/(A\dots^2)

i don't really understand vector curl.. i try to go about this by the integral approach over a closed loop. can someone explain this to me.. or at least tell me if my original thought is correct?

Correct about the fundamental mksA units for Tesla. Where did you find that? Are the other expansions into fundamental mksA units given there for Volts, Farads, Coulombs, etc.?

For the vector curl, look at this "Useage" section of the wikipedia article for vector curl:

http://en.wikipedia.org/wiki/Curl_(mathematics )

Do you see what the operation does? How do you think the curl operator transforms the units of the B-field when you take the curl of B?