Basic particle accelerator - escape speed (grade 12)

In summary, the device can be modified to accelerate protons by adjusting the electric field. When compared to electrons, protons will have a lower exit speed due to their larger mass.
  • #1
krbs
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Homework Statement


The device has two parallel plates, one positively charged and one negatively. The positive plate has a hole to allow electrons to fire out of it.

b) How can the device be modified to accelerate protons?
c) How does the escape velocity of a proton compare to that of an electron, if the electric field were the same? Explain.

Homework Equations


a = qε/m

The Attempt at a Solution


Part c is what I'm unsure about. Are they assuming that I've modified the device, but the electric field has the same magnitude?

If so, my educated guess is as follows:

The particles have equal but opposite charges and experience the same field, but a proton has a larger mass and will be accelerated less before exiting the device; therefore, it will have a lower exit speed.

On the other hand, assuming the device has not been modified, the proton would still have a lower exit speed (probably won't exit at all) because it's attracted to the negative plate.
 
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  • #2
You're doing fine. Yes, part c question comes after the modification. (otherwise the protons would indeed go the other way and fall on to the negative plate).
 
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Thank you,
 

What is a basic particle accelerator?

A basic particle accelerator is a device that uses electromagnetic fields to accelerate charged particles, such as electrons or protons, to high speeds. These particles are then used for various types of experiments in physics and other sciences.

How does a particle accelerator work?

Particle accelerators work by using a series of electric fields to accelerate particles in a linear or circular path. These particles are then guided and focused using magnets, and their speed is constantly increased until they reach the desired energy level.

What is escape speed in a particle accelerator?

Escape speed is the minimum speed required for a particle to escape the influence of the accelerator's magnetic field and continue on its own trajectory. This is necessary for particles to collide with other particles or targets for experiments.

Why is escape speed important in particle accelerators?

Escape speed is important because it determines the maximum energy that can be achieved by particles in the accelerator. Higher escape speeds allow for more energetic collisions and experiments, leading to a better understanding of the fundamental properties of matter and the universe.

What factors affect escape speed in particle accelerators?

The main factors that affect escape speed in particle accelerators are the strength of the magnetic field, the size and shape of the accelerator, and the initial energy of the particles being accelerated. These factors can be adjusted to achieve the desired escape speed for specific experiments.

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