Calculating Torque and Frequency of a Polar Molecule

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Homework Help Overview

The discussion revolves around calculating the torque and frequency of oscillation for a model of a polar molecule represented as a rod with charges at each end, situated between capacitor plates. Participants are exploring the effects of torque when the molecule is displaced from its equilibrium position.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are considering the forces acting on the charges and the resulting torque, with some questioning how to express these forces in relation to the electric field. Others are discussing the concept of a couple moment applied to the rod and the implications for equilibrium position.

Discussion Status

The discussion is ongoing, with participants attempting to clarify the concepts involved. Some guidance has been offered regarding the forces and moments acting on the rod, but confusion remains about how to articulate these ideas effectively.

Contextual Notes

There is mention of a potential lack of visual aids, such as diagrams or screenshots, which could help in understanding the problem setup. Participants are also grappling with the terminology used in the problem statement.

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Homework Statement


A simple model of a polar molecule is a rod of length L with mass m where the charges q
and -q is arranged at each end of the rod. The molecule is located between two capacitorplates where spacing is on potential difference between the capacitor is V. The molecule will have a
equilibrium position (apart from gravity), but when the molecule is rotated away from the angle θ
equilibrium position will be affected by a torque τ.

a) Calculate the torque τ. Calculate the frequency f at which the molecule can perform small oscillations around the equilibrium position



The Attempt at a Solution


I think of using the force on the charges which is the charge * electric field strength, but i don't know how to express that, can someone help please
 
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If I am illustrating this correctly then this should have a couple moment applied to the "rod"?

The wording on this is a bit confusing, and if there a screenshot to go along with this, so we can all be on the same page?
 
I can't take a screenshot, but how to calculate a torque of these charges and this rod.
 
Well look at the force on your charges due to the magnetic field contained within the capacitor and recognize you'd have two equivalent moments directed in opposite directions at all times, which is a couple.

The equilibrium position is going to be at your center of mass of the rod it looks like.
 
How do i express that to make sense, i am really confused
 

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