An electron in a trajectory motion between the center of two plates

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SUMMARY

The discussion focuses on calculating the y-component of an electron's velocity as it moves between two parallel plates with a potential difference of 500V. The initial velocity of the electron is 5.6x107 m/s in the x-direction, and the plates measure 20 cm x 20 cm, separated by 1 cm. By applying the conservation of energy principle and the equation for potential energy change (deltaU = q * delta V), the final y-direction velocity can be determined using the acceleration caused by the electric field between the plates.

PREREQUISITES
  • Understanding of classical mechanics and kinematics
  • Familiarity with electric fields and forces on charged particles
  • Knowledge of conservation of energy principles
  • Basic proficiency in algebra and physics equations
NEXT STEPS
  • Calculate the time the electron spends between the plates using its x-direction velocity.
  • Determine the electric field strength between the plates using the potential difference and separation distance.
  • Use the electric field to calculate the acceleration of the electron in the y-direction.
  • Apply kinematic equations to find the final y-component of the electron's velocity.
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and particle motion, as well as educators seeking to enhance their understanding of electron dynamics in electric fields.

Alfaraj
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Homework Statement



An electron with an initial velocity of 5.6x107 m/s in the x-direction moves along a trajectory that takes it directly between the center of two 20 cm x 20 cm plates separated by 1 cm. The plates are connected to a high voltage power supply so that the potential difference between them is 500V. What is the magnitude of the y-component of the electron’s velocity when it leaves the plates? (Answer in units of ANSWER x 107 m/s.)

Homework Equations



Kf + Uf = Ki + Ui
deltaU = q * delta V

The Attempt at a Solution



In this question I figured out the final velcity in the x-direction using the condervation of energy approach. I figured out the change in potential energy by multiplying the potential difference by the elementary charge. How do I obtain the final y-direction velocity?
 
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The x component of the electron's motion is unaffected by the force on it due to the field between the plates. Use this to calculate how long the electron is between the plates.
The force on the electron due to the field acts in the y direction for this time and accelerates the electron in the y direction. Use this acceleration, and the time, to find the final y-direction velocity.
 

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