Electrostatics -- A charge oscillating through a charged plane

[Apashanka das]

Homework Statement

Charge -q placed in front of an infinite plane of charge density σ
To show the oscillatory motion of the charge -q
It is allowed to impinge through charged plane

Homework Equations

Electric field in front of a charged plane is σ/2ε0

The Attempt at a Solution

Force experienced by the charge -q is -qσ/2ε0 towards the plane
Actually I didn't find any hints to prove the oscillatory motion of the charge -q

 

[BvU]

Force experienced by the charge -q is -qσ/2ε0 towards the plane
Actually I didn't find any hints to prove the oscillatory motion of the charge -q

Do you realize these two lines are contradictory ?

 

[kuruman]

Actually I didn't find any hints to prove the oscillatory motion of the charge -q

Hint: Suppose you release the charge from rest at initial distance x₀ from the plane. Describe the ensuing motion qualitatively then quantitatively. Keep in mind that the charge is allowed to go through the plane.

 

[Apashanka das]

Do you realize these two lines are contradictory ?

yes that electric field is applicable , very near to the plane
But then what will be the electric field at an appreciable distance

 

[BvU]

Distance doesn't appear in the field expression !
For me that makes sense: if the sheet is infinite size, it looks the same, whatever the distance of the viewer from the plane...

 

[Apashanka das]

Distance doesn't appear in the field expression !
For me that makes sense: if the sheet is infinite size, it looks the same, whatever the distance of the viewer from the plane...

yes for infinite plane the field will be same irrespective of the distance from it ,but for oscillatory motion the force should vary linrearly with distance but that doesn't happen here actually ,then what could be the reason for its oscillatory motion?

 

[kuruman]

... oscillatory motion the force should vary linrearly with distance ...

Not necessarily. Oscillatory means repeating with a definite period. You are thinking of harmonic oscillatory motion which is not the case here.

 

[Priesh]

Oscillatory motion does not necessarily imply purely sinusoidal motion. As kuruman said. Here you have to find the time taken by the particle from the initial position x=R to the position x=0 and then multiply the result with 4 to obtain the time period.

 

[rude man]

Oscillatory motion does not necessarily imply purely sinusoidal motion. As kuruman said. Here you have to find the time taken by the particle from the initial position x=R to the position x=0 and then multiply the result with 4 to obtain the time period.

Check.
You need to know mass of particle as well as R, $\sigma$ and q. though.

 

[kuruman]

Please note that the original post is more than two years old. Let's all agree to agree until OP gives renewed signs of life.