I calculating the number of Electrons? (Current/Electron Density/Velocity)

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Homework Help Overview

The discussion revolves around calculating the number of protons in a beam traveling at the speed of light, specifically in the context of the Tevatron at Fermilab, which carries a current of 11.17 mA. The problem involves concepts related to current, electron density, and velocity.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the number of protons but expresses uncertainty about the necessary equations and the missing cross-sectional area value. Some participants question the definition of current and how to derive current density from current and circumference, while others inquire about the significance of current density in this context.

Discussion Status

The discussion is ongoing, with participants exploring definitions and relationships between current, current density, and the parameters of the problem. Some guidance has been provided, but there is no explicit consensus on the approach to take.

Contextual Notes

There is a noted lack of information regarding the cross-sectional area, which is critical for the calculations being discussed. The original poster also mentions confusion about the equations needed to proceed.

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Homework Statement




How many protons are in the beam traveling at the speed of light in the Tevatron at Fermilab, which is carrying 11.17 mA of current around the 6.3-km circumference of the main Tevatron ring?

Homework Equations



Not sure...



The Attempt at a Solution



I don't know how to calculate the the protons (electrons). I tried multiple different things but al the equations I have use the Cross Sectional area value (A) which can't be found from the given information.

I tried manipulating such equations as

current density = (number of electrons)(e)(drift velocity)

and other similar equations but the all contain some form of the value of A?

Please help :(
 
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What is current?
 


voko said:
What is current?

and how do you find J {current density} from I {current} and a circumference?
 


Liquidxlax said:
and how do you find J {current density} from I {current} and a circumference?

What is the significance of current density here?
 


Ok got it! Thank You!
 

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