Calculating Electron Speed in a TV Screen Using 2.0 kV Potential Difference

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SUMMARY

Electrons in a television set are accelerated through a potential difference of 2.0 kV, resulting in a specific speed when they reach the screen. The relevant formula to calculate the speed of the electrons is derived from the work-energy principle, expressed as (1/2)mv² = qΔV, where m is the mass of the electron, q is the charge, and ΔV is the potential difference. By substituting the known values, one can determine the final speed of the electrons without considering relativistic effects.

PREREQUISITES
  • Understanding of electric potential and potential difference
  • Familiarity with kinetic energy concepts
  • Knowledge of basic physics formulas related to work and energy
  • Ability to perform calculations involving mass and charge of an electron
NEXT STEPS
  • Research the derivation of the kinetic energy formula (1/2)mv²
  • Learn about the properties of electrons, including mass and charge
  • Explore the concept of electric potential and its applications in physics
  • Investigate the effects of relativistic speeds on electron behavior
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of electron acceleration in electric fields, particularly in the context of television technology.

hotstuff
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Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
 
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hotstuff said:
Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
What is the definition of electric potential? The problem tells you how much the electron's electric potential will change. How much will its potential energy change? How much will its kinetic energy change? Assume the electron starts at test. How much velocity does it acquire?
 
hotstuff said:
Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
check here:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ev.html#c2
see above URL page to find (for charge initially at rest):
(work done on charge q by potential difference ΔV) = (1/2)mv2 = qΔV

other concepts you may need later:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elewor.html#c1
 
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