What Is the Kinetic Energy of an Alpha Particle at Point B in Electron Volts?

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SUMMARY

The kinetic energy of an alpha particle moving from a potential of +240 V at point A to -120 V at point B is calculated using the formula W = q * (ΔV). The change in voltage (ΔV) is -360 V, resulting in a kinetic energy of 360 eV for the alpha particle upon arrival at point B. This conclusion is based on the understanding that the charge (q) of the alpha particle, which consists of two protons, is +2e, where e is the elementary charge.

PREREQUISITES
  • Understanding of electric potential and voltage
  • Knowledge of the concept of kinetic energy in physics
  • Familiarity with the definition of an electron volt (eV)
  • Basic principles of charge and electric fields
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  • Study the relationship between electric potential and kinetic energy in charged particles
  • Learn about the properties and behavior of alpha particles in electric fields
  • Explore the concept of work done by electric fields on charged particles
  • Investigate the applications of electron volts in particle physics
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Students studying physics, particularly those focusing on electromagnetism and particle physics, as well as educators seeking to explain the principles of kinetic energy and electric potential in charged particles.

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Homework Statement



Point A is at a potential of +240 V, and point B is at a potential of -120 V. An -particle is a helium nucleus that contains two protons and two neutrons;

the neutrons are electrically neutral. An -particle starts from rest at A and accelerates toward B.

When the -particle arrives at B, what kinetic energy (in electron volts) does it have?
in eV

Homework Equations





The Attempt at a Solution



W = q * (chng in V)

q is the charge stored by a dialectric capacitor.

and change in V is the electric potential difference.

chng in V = Vb - Va = -360 V correct?

so where does the q come from?
 
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Let me give you the definition of an "electron volt:"

The energy gained by an electron, in moving through a potential of one volt, is one electron volt.

- Warren
 

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