What would the voltmeters measure?

[JACKR]

Homework Statement

I made up this problem and it is not a homework.

The tale goes like this: A rod moving with a constant speed towards the left on a U-shaped conductor in a uniform magnetic field B that is directed into the page. The width of the U-shaped conductor is L and the length of the rod is L'. V1 is connected across the part of the rod making contact with U-shaped conductor thus completing the circuit, whereas V2 is connected across the whole rod. The voltmeters are assumed co-planar with the rod as far as we're concerned and are held in a plane perpendicular to it.

Relevant Equations

ε=∮(v̅×B̅)•dl̅=-dΦ/dt

I am saying that V1=V2 since the emf induced in the rod is the same for both cases equal BLv. Am I correct?

 

[BvU]

No

 

[JACKR]

No

Why not?

 

[BvU]

the emf induced in the rod is the same for both cases equal BLv

is not correct

 

[JACKR]

is not correct

Yep, Why isn't it correct?

 

[BvU]

Are you familiar with the Lorentz force ?

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[JACKR]

Are you familiar with the Lorentz force ?

$\$

Ofcourse

 

[BvU]

You forgot to mention the rod is conducting...
And that its resistance is zero ...
And the U-shaped loop also has resistance zero ...
(composing meaningful exercises isn't as simple as it seems )

So what does $V_1$ read ? Zero or BLv ?
$V_2$ reads 2 B(L'-L)v more

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