How Many Electrons in a High-Speed Beam at Stanford Linear Accelerator?

In summary, the SPEAR storage ring at the Stanford Linear Accelerator has a 20.0 A circulating beam of electrons moving at nearly the speed of light. To determine the number of electrons in the beam, one would need to calculate the average time it takes for an electron to traverse the circumference of the ring and then multiply it by the current to get the charge in coulombs.
  • #1
nautica
I don't even know where to begin on this one.

SPEAR, a storage ring about 72.0 m in diamter at the Stanford Linear Accelorator, has a 20.0 A circulating beam of electrons that are moving at nearly the speed of light. How many electrons are in the beam?

My thoughts, hmmmm. Nothing I can think of even makes sense. If they are traveling near the speed of light then they must be only moving in one direction and not at random, the only way this could happen is if the size of the storage ring were the size of an electron, but since there is not a known size of an electron this does me no good.

Go ahead tell me I'm an idiot, but could you help me along the way.

thanks
Nautica
 
Physics news on Phys.org
  • #2
You may be an idiot. :wink:

Current is defined as the amount of charge that pass a certain point in one second, correct?

What you need to do is to calculate the average time taken for an electron to traverse the circumference of the ring, and then multiply by current to get charge in coulombs. Easy going from then on.
 
  • #3
Thanks

I'll try that

Nautica
 

What is current and drift velocity?

Current and drift velocity are terms used in physics to describe the movement of charged particles, such as electrons, in a conductor. Current refers to the flow of electric charge, while drift velocity is the average speed at which the charged particles move in a particular direction.

How is current and drift velocity related?

The relationship between current and drift velocity is described by Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance of the conductor. This means that as the drift velocity increases, the current also increases.

What factors affect the drift velocity?

The drift velocity of charged particles is affected by several factors, including the strength of the electric field, the density of the particles, and the type of material the particles are moving through. Additionally, the temperature and impurities in the material can also influence the drift velocity.

Can the drift velocity ever reach the speed of light?

No, the drift velocity of charged particles in a conductor cannot exceed the speed of light. This is because the movement of electrons in a conductor is limited by collisions with atoms and other electrons, which slow down their speed and prevent them from reaching the speed of light.

How is drift velocity measured?

Drift velocity can be measured using various techniques, such as the Hall effect, which involves applying a magnetic field to a conductor and measuring the voltage generated perpendicular to the current flow. It can also be calculated by measuring the current and resistance of a conductor and using Ohm's Law to determine the drift velocity.

Similar threads

Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
26
Views
3K
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
18
Views
2K
Replies
8
Views
1K
  • Electromagnetism
Replies
4
Views
16K
Replies
10
Views
3K
Replies
9
Views
2K
Back
Top