Proton hits infinite charged plane, find charge of plane

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SUMMARY

The discussion centers on calculating the surface charge density of an infinite charged plane when an electron is released from rest and accelerates towards it. The electron reaches a speed of 1 x 107 m/s after traveling 2.0 cm. To find the surface charge density (S), the relationship between acceleration (a), electric field (E), and charge (q) is utilized, specifically the formula a = (qE)/m. The electric field intensity for an infinite charged plate is defined as E = S/(2ε0), where ε0 is the permittivity of free space, valued at 8.854 x 10-12 F/m.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with electric fields and surface charge density
  • Knowledge of basic kinematics equations
  • Proficiency in algebra for manipulating equations
NEXT STEPS
  • Study the derivation and implications of the formula E = S/(2ε0)
  • Learn about the relationship between electric field and force on charged particles
  • Explore kinematic equations in detail, particularly in the context of charged particles
  • Investigate the concept of permittivity and its role in electrostatics
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the dynamics of charged particles in electric fields.

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Homework Statement



An electron is released from rest 2.0 cm from an infinite charged plane. It accelerates toward the plane and collides with a speed of 1*107 m/s

What is the surface charge density of the plane?

Homework Equations



a=(qE)/m
v=v0+a∆t

The Attempt at a Solution



v0=0
therefore a∆t = 1*107 m/s
∆t=L/v0

calculating the time ∆t requires knowledge of either v0 or a, v0 is zero, so one cannot calculate it using v0, so the other option is to use a, which is unknown also

How would I go about this?

Once I have a, i can find E using the formula a=(qE)/m

Thanks
 
Last edited:
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The electric field intensity of an infinite charged plate is given by-

E=S/2E0

E0=8.854*10 powered to -12 S is the surface charge density.

substitue the above formula as the E for the the a=(qE)/m then proceed as planned.

report if your work was done
 

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