Proton hits infinite charged plane, find charge of plane

AI Thread Summary
An electron accelerates towards an infinite charged plane from a distance of 2.0 cm, colliding at a speed of 1*10^7 m/s. To find the surface charge density of the plane, the acceleration must first be determined, which requires knowledge of either the acceleration or the electric field. The relationship between acceleration, charge, and electric field is given by a=(qE)/m. The electric field intensity for an infinite charged plate is expressed as E=S/2E0, where E0 is the permittivity of free space. Once the acceleration is calculated, it can be substituted into the equations to find the surface charge density.
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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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