Calculating Electron Acceleration in an X-ray Machine

In summary, to find the acceleration of an electron in an electric field of 6 x 10^5 N/C, we can use the equation F = M*A, where F is the force, M is the mass of the particle, and A is the acceleration. By rearranging the equation and substituting the given values for the electric field and the charge of an electron, we find that the acceleration is 1.05 x 10^17 m/s^2.
  • #1
wakejosh
102
0

Homework Statement


In x-ray machines, electrons are subjected to electric fields as great as 6 x 10^5 N/C. Find an electron's acceleration in this field. ( me = 9.1 x 10^-31kg, qproton= 1.6 x 10^-19C)



The Attempt at a Solution




can someone just point me in the right direction to solve this? a site with information etc. would help. I don't have the correct book for the class yet and I can't seem to find the info I need in this old book. Thanks
 
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  • #2
An electric field is the force per unit charge. What do you know about force and acceleration, and what do you know about the charge of an electron?
 
  • #3
Well here is a hint. The acceleration depends on the strength of the electric field and the charge of the particle. Also the mass of the particle has something to do with it. Are these enough hints for you?

Edit: sorry for stepping in Kurdt. you replied whilst I was typing this up
 
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  • #4
ok so I use:

E = F / q (E= electronic field, F= force, q= charge)

6x10^5 = F / 1.6x10^-19

gives me:

F= 9.6x10^-14

then we use F=M*A to find the acceleration:

9.6x10^-14 / 9.1x10^-31 = A = 1.05x10^17

is this correct?
 
  • #5
looks fine
 

FAQ: Calculating Electron Acceleration in an X-ray Machine

What is electron acceleration and how does it work?

Electron acceleration is the process of increasing the energy and speed of electrons. This is typically achieved by subjecting the electrons to an electric field. The electric field exerts a force on the electrons, causing them to accelerate and gain energy.

What are the applications of electron acceleration?

Electron acceleration has many practical applications, such as in particle accelerators used in scientific research, medical equipment such as X-ray machines, and industrial processes such as material surface modification and sterilization.

How does electron acceleration contribute to our understanding of the universe?

By accelerating electrons to high energies, scientists can study fundamental particles and their interactions, providing insights into the workings of the universe. This has led to major discoveries in the fields of particle physics and cosmology.

What are the different methods of electron acceleration?

There are several methods of electron acceleration, including linear accelerators, circular accelerators, and plasma-based accelerators. Each method has its advantages and is used for different applications.

What are the potential challenges and limitations of electron acceleration?

One of the main challenges of electron acceleration is maintaining a stable and uniform electric field, as any fluctuations can affect the electron beam. Additionally, achieving higher energies requires larger and more complex accelerators, which can be costly and difficult to build. There are also limitations in terms of the maximum energy that can be achieved due to the laws of physics.

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