Electric field, magnetic flux , potetial difference

AI Thread Summary
The discussion centers on calculating the ratio of electric field E to magnetic flux density B in a scenario involving a charged particle accelerated by a potential difference V between two parallel plates. Participants emphasize the importance of understanding the Lorentz force, which relates the forces acting on a charged particle in electric and magnetic fields. Key equations discussed include the relationship between potential energy and kinetic energy as the particle moves through the electric field, as well as the definitions of force in electric and magnetic contexts. The conversation also touches on the need for foundational knowledge in electromagnetism to solve the problem effectively. Overall, the exchange highlights the critical concepts necessary for understanding the dynamics of charged particles in electromagnetic fields.
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Homework Statement


As shown in the figure below, potential difference V exists between two parallel plates(a,b) that have a small hole. Uniform electric field E and magnetic flux density B exist in the region above the plates, and are perpendicular to each other. The directionof E is parallel to this page and plate b. The directionof B is perpendicular to this page from back to front. A positiely charged particle of charged q and mass m, initially at res in the hole of plate a, is accelerated by potential difference V so that it enters te region above the plate perpendiculary to E and B and travels straight through the region.
http://imageshack.us/photo/my-images/442/imagenq4.png/
http://imageshack.us/photo/my-images/442/imagenq4.png/

What is the ratio E/B?Thanks

Please tell me how i put images in the post.
 
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Great - so where did you get stuck?
Do you know the equation that relates the force on a charged particle due to electric and magnetic fields?
Do you know how to relate the kinetic energy a charge gains when it falls through a potential difference of V?
 
you mean lorentz force?
 
No, i don't know. please tell me.

this is really important. help please.
 
Are you not doing a course in elecromagnetism that you have notes for? Go read them?

The voltage is the electric potential energy per unit charge ... when the charge travels between the plates, then, it loses potential energy qV and gains kinetic energy - what's the equation? You can do this.

The electric field strength is the force per unit charge ... so \vec{F}_E = q\vec{E}

For the magnetic field, only moving charges experience a force: \vec{F}_B = r(\vec{v} \times \vec{B})

Do you know how to evaluate a cross product? (Hint - v and B are at right angles: it's the right-hand slap rule.)

Now all you need is Newton's Laws.
 
i get it, thanks a lot.
 
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