Calculating Proton Displacement, Force & Current in a Magnetic Field

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SUMMARY

The discussion focuses on calculating various physical properties of a proton resistor spring system in a magnetic field, specifically with a proton mass of 1.67 x 10^-27 kg, a spring constant of 500 N/m, a resistance of 5Ω, and a magnetic field strength of 0.8T. Key calculations include determining the maximum displacement upon release, the net magnetic force acting on the system, the velocity at 75% of maximum displacement, the induced current in the spring, and the time required to produce this current. Participants express confusion regarding the problem's complexity and seek clearer explanations and diagrams.

PREREQUISITES
  • Understanding of classical mechanics, specifically Hooke's Law.
  • Knowledge of electromagnetic theory, particularly the Lorentz force law.
  • Familiarity with circuit theory, including Ohm's Law.
  • Basic calculus for velocity and displacement calculations.
NEXT STEPS
  • Calculate maximum displacement using Hooke's Law and energy conservation principles.
  • Apply the Lorentz force equation to determine the net magnetic force on the proton.
  • Use kinematic equations to find velocity at a given displacement.
  • Explore the relationship between induced current and magnetic flux using Faraday's Law of Electromagnetic Induction.
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and mechanics, as well as educators seeking to clarify complex concepts related to magnetic fields and spring systems.

thisisfreaky
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A proton resistor spring system in a magnetic field going out of the page has a mass of proton 1.67*10^-27 kg, a spring constant k=500 N/m and the resistor has r=5Ω. The magnetic field strength is 0.8T.
a) When released from rest, calculate the maximum displacement.
b) What is the net magnetic force acting on the system?
c) When the system is 75% of maximum displacement, calculate the velocity on each of these points.
d) What is the induced current in the spring?
e) How much time is required to produce the current?

I'm just lost on this problem and I'm not sure how to solve this problem. My teacher didn't explain the chapter too well so I would appreciate any help I can get on this.
 
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You will have to provide a better explanation of the problem. Give us the whole problem and any diagrams that go with it.

AM
 

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