Calculating the Angle of an Electron Passing Between Charged Plates

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SUMMARY

An electron is accelerated from rest by a potential difference of 10,000 V in a television picture tube and then passes between two charged plates with a potential difference of 200 V. The speed of the electron before entering the plates is calculated to be 5.92 x 107 m/s using the equation qΔV = 1/2mv2. The electric field strength between the plates is determined using E = U/d, where U is the potential difference and d is the distance between the plates. The angle θ of the electron's trajectory after passing through the plates can be calculated by analyzing the components of its resultant velocity.

PREREQUISITES
  • Understanding of electric potential and potential difference
  • Familiarity with basic mechanics and motion equations
  • Knowledge of electric fields and forces
  • Proficiency in algebra and solving quadratic equations
NEXT STEPS
  • Calculate the electric field strength using E = U/d
  • Determine the electric force on the electron using F = QE
  • Analyze the vertical and horizontal components of the electron's velocity
  • Use trigonometric functions to find the angle θ of the electron's trajectory
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Physics students, educators, and anyone studying electromagnetism and particle motion in electric fields.

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Homework Statement



An electron is accelerated horizontally from rest in a television picture tube by a potential difference of 10,000 V. It then passes between two horizontal plates 5.0 cm long and 1.0 cm apart which have a potential difference of 200 V. At what angle θ will the electron be traveling after it passes between the plates?

Homework Equations



-ΔEE = ΔEK
qΔV = 1/2mv^2


The Attempt at a Solution



-ΔEE = ΔEK
qΔV = 1/2mv^2
√ (2qΔV)/(9.1*10^-31kg) = v
√ (2(1.6*10^-19 C)(10 000V))/ (9.1*10^-31kg) = v
5.92*10^7 = v
-so i calculated the speed of the electron before passes through the plates. i don't know what to do next.. a step-by-step solution would be appreciated, thanks in advance
 
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Suppose that the electric field runs upwards. It's field strength is calculated from E = U/d, where U is the potential difference and d the distance between the plates. The electric force exerted on the electron is F = QE = QU/d. From here on, use what you know about mechanics and movement to find the components of the resultant velocity to find the angle.
 

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