Charges pushed to the ends of a pole -- Faraday's law

[Eitan Levy]

Homework Statement

We put a pole with a length of 0.2m in a magnetic field equals to 0.4T and move it with a velocity of 4m/s.
What is the value of the charges that accumulate in the ends of the pole?

Homework Equations

E=Bv
ε=El

The Attempt at a Solution

I know that E=1.6V/M and ε=0.32V (Book says it is correct). However I have no idea how to calculate the charge.

 

[BvU]

Hello again,

As you should know by now,

However I have no idea

doesn't count as an attempt at solution !
Assuming the pole is a conductor, what is the electric field inside ?

 

[Eitan Levy]

Hello again,

As you should know by now,
doesn't count as an attempt at solution !
Assuming the pole is a conductor, what is the electric field inside ?

I think I understand. Assuming I am allowed to look at the charges as if they are very small, I can look at one end of the pole and say that E=KQ/R^2, and then I can get Q.

 

[BvU]

What K would you use ?

 

[Eitan Levy]

What K would you use ?

K=9*10⁹

 

[BvU]

That's for vacuum.

 

[Eitan Levy]

That's for vacuum.

It does give the correct answer according to the book. What would you use?

 

[BvU]

It does give the correct answer according to the book. What would you use

There's no aguing that, is there? My idea was that electric field inside a conductor has to be zero (or else the charge carriers move). Appears to boil down to the same answer.

 

[Eitan Levy]

There's no aguing that, is there? My idea was that electric field inside a conductor has to be zero (or else the charge carriers move). Appears to boil down to the same answer.

Can you explain how?

 

[TSny]

There will be electric field inside the material of the pole and there will be some charge accumulation on the pole. http://schoolbag.info/physics/sat/73.html

But the distribution of charge will be complicated. There will be charge not just at the ends of the pole. I don't see a way to evaluate the charge "in the ends of the pole".