Electric Potential & electron oscillation

AI Thread Summary
To calculate the frequency of electron oscillations in the given potential V(z), the user has attempted to apply conservation of energy to determine oscillation length but struggles with time calculation. They also tried solving the differential equation F=ma after calculating the electric field but faced difficulties. The discussion emphasizes the need for showing work to receive effective assistance. The user is seeking guidance on how to proceed with their calculations. Clarification on the methods and equations involved in determining oscillation frequency is needed.
eoghan
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Hi there!
I have this problem:
How to calculate the frequency of the oscillations of an electron from its equilibrium point in this potential:
V(z)=k/(2ɛ)*[sqrt(z^2 - 9R^2) - sqrt(z^2 - r^2)]*sgn(z)
 
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What have you tried so far? You need to show work if you want to get help here.
 
I've tried to use the conservation of energy: I can get the length of the oscillation, but I can't get the time.
I've tried to solve the differential equation F=ma calculating the electric field, but I can't solve it...
I don't know what to do
 

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