Attempting to find tension force with electric fields

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Homework Help Overview

The problem involves a small conducting sphere in a uniform electric field, with a focus on determining the tension in the string and the magnitude of the electric field. The sphere has a specified mass and charge, and the string is positioned at an angle with respect to the vertical.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for a free body diagram to identify forces acting on the sphere. Questions arise regarding the direction and magnitude of these forces, as well as the equilibrium conditions necessary for analysis.

Discussion Status

Some participants have provided guidance on drawing a free body diagram and identifying forces, while others note the lack of information regarding the orientation of the electric field. The discussion is exploring various interpretations of the problem setup without reaching a consensus.

Contextual Notes

The original poster expresses uncertainty about the problem due to limited coverage in class and seeks foundational understanding. There is ambiguity regarding the direction of the electric field, which affects the analysis.

mfgrape123
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Homework Statement


A small conducting sphere of mass 5.0x10^-3 kg attached to a string of length 20 cm, is at rest in a uniform electric field E. There is a charge of -5.0x10^-6 coulomb on the sphere. The string makes an angle of 30° with the vertical. Calculate the tension in the string. Calculate the magnitude of the electric field.


Homework Equations


Probably have to use Fm = BIlsin° Not sure what else, though.


The Attempt at a Solution


Honestly, I have no idea where to start. We haven't really covered this in class yet, and I don't know what to Google to figure it out that way... Help, please?
 
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Can you draw the free body diagram? What are all the forces on the mass? What do you know about the magnitude and direction of each?
 
Okay, I think this is the right free-body diagram. I could be wrong, though. But this is the apparatus set-up we're given.
 

Attachments

  • Problem set 60, Problems 1-4.jpg
    Problem set 60, Problems 1-4.jpg
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The OP doesn't say the field is horizontal (so doesn't provide enough info for a solution), but maybe you left that out. So your diagram looks ok. Can you write down the equilibrium equations?
 

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