How Is a Charge Deflected by a Fixed Charge in an Electric Field?

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SUMMARY

The discussion focuses on the deflection of a moving charge in the electric field created by a fixed charge. A particle with mass m and charge q travels along the x-axis and is influenced by a stationary charge Q located at (0, -d). As the moving charge approaches the fixed charge, its x-component of velocity remains constant while it gains a small velocity in the y-direction, resulting in a deflection angle that needs to be calculated. Participants emphasize the importance of setting up the integral for the vector force acting on the moving charge to analyze its trajectory accurately.

PREREQUISITES
  • Understanding of electric fields and forces between charges
  • Knowledge of vector calculus and integration techniques
  • Familiarity with Newton's laws of motion
  • Basic principles of particle dynamics in physics
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  • Study the concept of electric field strength and its calculation
  • Learn how to set up and solve integrals involving vector forces
  • Explore the motion of charged particles in electric fields
  • Investigate the principles of trajectory analysis in classical mechanics
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Physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields, particularly in the context of classical mechanics and electromagnetism.

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A particle of mass m and charge q moves at high speed along x axis. It it initially near x=-infinity and it ends up near x=+infinity. A second charge Q is fixed at the point x=0, y=-d. As the moving charge passes the stationary charge, its x component of velocity does not change appreciably, but it acquires a small velocity in the y direction. Determine the angle through which the moving charge is deflected.

im quite poor in integration.. any hints, anyone?
 
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We need to see some of your work before we can help you -- PF rules. What is the vector force on the moving charge due to the fixed charge, as a function of position? Show us how you set up the integral that you are having trouble with.
 

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