Initial speed of proton between parallel plate=?

In summary, the conversation is about a physics midterm question involving parallel plates, an electric field, and a proton's initial speed. The question asks for the initial speed of the proton as it enters the plates and comes out just missing the top plate in a parabolic path. The given values are the length and distance between the plates, and the electric field. The problem is approached by considering the uniform acceleration of the proton in the uniform electric field, similar to a projectile under gravity. The questioner is unsure of where to start but suggests that the proton starts parallel to the plates.
  • #1
bored2death97
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Homework Statement



So I just wrote my midterm in physics, and I was curious on how to do the last question.

Parallel plates, length 5.5cm,
Distance between them is 0.3 cm
Electric Field (E) is 5.4x10^4

Asking what is the initial speed of a proton going through the parallel plates if it just misses the top plate when it comes out.
Proton enters plates on bottom left, comes out top right, and the path is parabolic almost.
So Initial speed?

I think these were all the values we were given.

Homework Equations



The Attempt at a Solution



Wasn't sure where to start.
 
Last edited:
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  • #2
I assume the proton starts parallel to the plates.
Isn't this just like a projectile under gravity? There's a uniform field across the path of the proton, so a uniform acceleration in that direction. How long will it take to 'fall' from one plate to the other?
 

Related to Initial speed of proton between parallel plate=?

What is the initial speed of a proton between parallel plates?

The initial speed of a proton between parallel plates can vary depending on the specific conditions of the experiment. However, in most cases, the initial speed will be determined by the voltage difference between the plates and the distance between them.

How does the initial speed of a proton between parallel plates affect its trajectory?

The initial speed of a proton between parallel plates is an important factor in determining its trajectory. A higher initial speed will result in a wider separation between the plates, while a lower initial speed will result in a smaller separation. This is due to the electric field created by the voltage difference between the plates, which accelerates the proton in a specific direction.

What factors can affect the initial speed of a proton between parallel plates?

The initial speed of a proton between parallel plates can be influenced by several factors, including the voltage difference between the plates, the distance between the plates, and the mass of the proton. Other factors, such as external magnetic fields or the presence of other charged particles, can also impact the initial speed.

How is the initial speed of a proton between parallel plates calculated?

The initial speed of a proton between parallel plates can be calculated using the equation v = √(2qV/m), where v is the initial speed, q is the charge of the proton, V is the voltage difference between the plates, and m is the mass of the proton. This equation takes into account the electric potential energy and kinetic energy of the proton.

Can the initial speed of a proton between parallel plates be controlled?

Yes, the initial speed of a proton between parallel plates can be controlled by adjusting the voltage difference between the plates or the distance between them. By changing these parameters, the strength of the electric field and therefore the acceleration of the proton can be altered, resulting in a different initial speed.

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