How Do You Solve a Proton's Orbit and Electric Field Problems?

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SUMMARY

The discussion focuses on solving two physics problems related to a proton's orbit around a charged wire and the electric field of a charged ring. The first problem involves calculating the wire's linear charge density, which is determined to be -2.29 nC/m based on the proton's orbit radius of 1.0 cm and its frequency of 1.0 x 10^6 revolutions per second. The second problem addresses the behavior of the electric field on the axis of a ring of charge, emphasizing the need for a thorough understanding of electric field calculations without shortcuts, particularly using Gauss's law.

PREREQUISITES
  • Understanding of circular motion and kinematics
  • Familiarity with Gauss's law in electrostatics
  • Knowledge of electric field concepts and calculations
  • Basic principles of charge density and its implications
NEXT STEPS
  • Study Gauss's law applications in electrostatics
  • Learn about electric field calculations for different charge distributions
  • Explore circular motion dynamics in charged particle systems
  • Investigate the relationship between charge density and electric fields
USEFUL FOR

Physics students, educators, and anyone interested in understanding electrostatics and circular motion in charged systems will benefit from this discussion.

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Hey ppl! anyone who can help me with this i will be so grateful! I've been stuck on it for 2 days(dumbarse ) thx!

1) A proton orbits a long chared wire, making 1.0x10^6 revolutions per second. The radius of the orbit is 1.0cm. What is the wire's linear charge density?

2) Show that the on axis electic field of a ring of charge has the expected behaviour when z<<R and when z>>R.

The answer to the first questions is -2.29nC/m, but I am clueless about how to go about it, I've also tried applying circular kinematics but have not been successful. The second question i am absolutly dumbfounded by. Thx again anyone who helps!
 
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1) How can you relate the linear charge density and the electric field generated by the wire? (hint: Gauss)

2) Do you know how to (at least in principle) determine the electric field on the axis? (hint: there's no shortcut here)
 
tis alright I've solved em both thanks anyway
 

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