Two parallel plates, each charged equally and oppositely to the other, are separated by 8.9500 cm....

Two parallel plates, each charged equally and oppositely to the other, are separated by 8.9500 cm. A proton is let go from rest at the positive plate's surface and, at the same time, an electron is let go from rest at the negative plate's surface. What is the distance between the negative plate and the point where the proton and the electron go by each other?

Note: unlike most questions, this one will need your answer correct to 5 significant digits. Make sure you enter that many into the box below.

Expert Solution

Let initial position of the proton be 0 and that of electron is d=8.95cm. The initial velocities of both proton and electron are 0.

So at any time t, position of proton is ........(1) and position of electron is .......(2). Here m_p and m_e are mass of proton and electron respectively.

So at time at which both the particles pass

.......(3)

Substituting eqn(3) in eqn(2) one gets

So position is x=0.0049867m

genius_generous answered 1 year ago

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