Kinetic Energy of Ion accelerated across potential difference

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SUMMARY

An ion of 64Zn30+ with an initial kinetic energy of 9.88 keV is accelerated across a potential difference of 277 Volts. The energy transferred to the ion due to this potential difference is calculated as 277 eV per unit charge. To find the final kinetic energy after acceleration, one must multiply the charge of the ion by the potential difference and add this value to the initial kinetic energy, resulting in a definitive calculation of the ion's new kinetic energy.

PREREQUISITES
  • Understanding of kinetic energy and its units (keV)
  • Knowledge of potential difference and its relation to energy transfer
  • Familiarity with the concept of electric charge
  • Basic principles of ion acceleration
NEXT STEPS
  • Calculate the final kinetic energy of 64Zn30+ after acceleration using the formula: Final KE = Initial KE + (Charge × Potential Difference)
  • Explore the relationship between potential difference and energy transfer in charged particles
  • Study the effects of different potential differences on various ions
  • Learn about the applications of ion acceleration in fields such as particle physics and materials science
USEFUL FOR

Students and professionals in physics, particularly those studying electromagnetism, particle acceleration, and energy transfer in charged particles.

iuchem16
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An ion of 64Zn30+ with an initial kinetic energy of 9.88 keV is accelerated across a potential difference of 277 Volts. What is its kinetic energy after acceleration (in keV)?
 
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Hi iuchem16! Welcome to PF! :smile:
iuchem16 said:
An ion of 64Zn30+ with an initial kinetic energy of 9.88 keV is accelerated across a potential difference of 277 Volts. What is its kinetic energy after acceleration (in keV)?

What is the definition of potential difference, and its relation to potential energy ? :wink:

Show us what you've tried. :smile:
 
A potential difference of 277 volts will transfer energy of 277 ev per unit charge to the ion.

Take the charge of your ion, multiply by 277 ev, add to 9.88...
 

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