Finding Torque Applied to a Charged Rod in an External Electric Field

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Homework Help Overview

The discussion revolves around calculating the torque applied to a charged rod situated in a constant external electric field. The rod has a fixed positive and negative charge at its ends and is oriented along the x-axis, with the electric field acting perpendicular to it.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the charged ends of the rod due to the external electric field and the concept of torque as a product of force and distance. Questions arise regarding the appropriate equations to use for calculating the forces and the implications of the electric field's orientation.

Discussion Status

There is an ongoing exploration of the forces acting on the rod and how they relate to torque. Some participants have provided guidance on the relationship between force and torque, while others are questioning the nature of the electric field and its effects on the charges.

Contextual Notes

Participants note that the problem statement may lack clarity regarding the behavior of the charges in the electric field, particularly concerning the direction of the forces and the resulting motion.

silvashadow
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A long, thin rod (length = 4.0 m) lies along the x axis, with its midpoint at the origin. In a vacuum, a +8.0 µC point charge is fixed to one end of the rod, while a -8.0 µC point charge is fixed to the other end. Everywhere in the x, y plane there is a constant external electric field (magnitude = 5.0*10^3 N/C) that is perpendicular to the rod. With respect to the z axis, find the magnitude of the net torque applied to the rod.

I just don't know where to start. I just need a heads-up or a guide on how to start the problem.
 
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So there will be a force on each of the ends from the external field, and torque is force cross distance. Just think about what would happen if you were to push on the rod with the appropriate forces that would correlate to what the electric field is doing.
 
I know that there is a force, two actually acting on each end. The problem is that I don't know what force can there be. Do I use the equation F=qE?
 
Yep. :)

One force will be pointing up and one will be pointing down. Torque!
 
How does a perpendicular electric field force a charge to move?
 
The field is perpendicular, you might be confusing it with parallel. Picture the rod lying on the x axis, and now picture an electric field in the y direction everywhere. The problem statement is a little vague on what happens afterwards, but presumably the electric field is always perpendicular.
 

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