Final speed of an accelerated electron

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SUMMARY

The final speed of an electron accelerated through a potential difference of 200 V, starting with an initial speed of 2.0 x 106 m/s, can be calculated using energy principles. The energy gained by the electron due to the potential difference is 3.2 x 10-17 J, derived from the equation E = qV, where q is the charge of the electron (1.6 x 10-19 C). The total energy of the electron after acceleration is the sum of its initial kinetic energy and the energy gained, resulting in a final speed of approximately 2.4 x 106 m/s.

PREREQUISITES
  • Understanding of kinetic energy calculations
  • Familiarity with the concept of potential difference
  • Basic knowledge of electron properties (mass and charge)
  • Proficiency in algebra for solving equations
NEXT STEPS
  • Study the relationship between kinetic energy and potential energy in charged particles
  • Learn about the equations governing electron acceleration in electric fields
  • Explore the implications of relativistic effects on electron speeds at high voltages
  • Investigate the principles of particle physics related to electron behavior
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the dynamics of charged particles in electric fields.

gidra
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Whit is the final speed of an electron accelerated through a potential difference of 200 V if has an initial speed of 2.0 x 10^6 m/s. (Charge of electron = 1.6 x 10^-19 C and mas of electron = 9.11 x 10^-31 kg)
 
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I don't know. What's the definition of 'potential difference', i.e. V. How much energy does it gain? How much energy did it start out with? Can you convert that back into speed?
 

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