Homogeneization of physic formula of electromagnetic field and velocity

[Plott029]

https://www.youtube.com/watch?v= I have a little problem with a formula, that I think it's not ok. It gives to me the result of units of electric potential ($$\vec A$$) and velocity $$\vec v$$. The result seems to be volts per velocity, and I don't know it there exists this unit, or is a mistake.

In other hand, when i try to develope the units of the magnetic field, if i use $$\vec v X \nabla X \vec A$$ it gives to me units of diference of potential per unit of time:

[tex]\frac {[L]}{[T} \frac {1}{[L]} \frac {[L]}{[T]} = /[T][/tex]

and using tesla x velocity, it gives different result:
[tex]\frac {[L][M]}{[T]^3 } [/tex]

I don't know what I'm not doing correctly. Could you give me a little help?

Thanks.

 

[Plott029]

Maybe the problem is that I must utilize power ecuations... like UI and FV. The problem now is that I have an equation that has UIFV, with dimensions of power^2...

 

[Redbelly98]

https://www.youtube.com/watch?v= I have a little problem with a formula, that I think it's not ok. It gives to me the result of units of electric potential ($$\vec A$$) and velocity $$\vec v$$. The result seems to be volts per velocity, and I don't know it there exists this unit, or is a mistake.

In other hand, when i try to develope the units of the magnetic field, if i use $$\vec v X \nabla X \vec A$$ it gives to me units of diference of potential per unit of time:

[tex]\frac {[L]}{[T} \frac {1}{[L]} \frac {[L]}{[T]} = /[T][/tex]

I don't understand what you did here. Okay, I see that

v → L/T
del operator → 1/L
​

but why do you say

A → L/T ?​

A has units of Tesla·m, not m/s as you are implying.

and using tesla x velocity, it gives different result:
[tex]\frac {[L][M]}{[T]^3 } [/tex]

This is correct.

I don't know what I'm not doing correctly. Could you give me a little help?

Thanks.

See above; it looks like you incorrectly equated A with a velocity.