Calculating Electric Potential and Kinetic Energy for Moving Charges

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SUMMARY

This discussion focuses on calculating the kinetic energy and electric potential for moving charges. The first problem involves a particle with a charge of 7.5x10-6C released from rest, moving in the electric field of a fixed charge of 2.0x10-6C. The kinetic energy at x=1.0m is calculated using the relationship K=-ΔU, resulting in K=7.875x10-1 J. The second problem addresses the electric potential at x=0.18m due to a uniformly distributed charge of 0.80 nC/m along the x-axis, yielding a potential of V=72 V, although the participant expresses uncertainty about this result.

PREREQUISITES
  • Understanding of electric potential and kinetic energy concepts in electrostatics
  • Familiarity with Coulomb's law and the formula for electric potential
  • Knowledge of energy conservation principles in physics
  • Basic algebra and calculus for solving equations involving electric fields
NEXT STEPS
  • Study the derivation of electric potential from point charges using Coulomb's law
  • Learn about energy conservation in electrostatics, specifically the relationship between potential energy and kinetic energy
  • Explore the concept of electric field strength and its impact on charged particles
  • Investigate the effects of varying charge distributions on electric potential
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism, as well as anyone involved in solving problems related to electric potential and kinetic energy in charged systems.

lawandb
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I have solved these and got an answer but i have no idea if i have the right work or answer. Can anyone help me with any of these questions? or just tell me what the answer is so i know if i have done it right. Thanx.

1. A particle (charge 7.5x10^(-6)C)is released from rest at a point on the x-axis, x=0.1m. It begins to move due to the presence of a 2.0x10^(-6)C charge which remains fixed at the origin. What is the kinetic energy of the particle at the instant it passes the point x=1.0m?

2. A charge of uniform density (0.80 nC/m) is distributed along the x-axis from the origin to the point x=0.1m. What is the electric potential (relative to zero at infinity) at a point x=0.18m, on the a-axis?
 
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What have you done?
 
Here's what i did

1. let *=change in
*K=-*U
*K+*U=0
*U=q(*V)
*V=V2-V1=(k(q1)/r1)-(k(q2)/r2)=(k(7.5nC))/.9-(k (2nC))/.1=1.05x10^5
q(*V)=-7.875x10^-1
*K=7.875x10^-1
--------------------------------------------------------------

2. V=k(.8nC)/.1=72, I'm pretty sure this one is wrong though.
 

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