Attempting to find tension force with electric fields

AI Thread Summary
To find the tension in the string and the magnitude of the electric field for a conducting sphere in an electric field, it is essential to analyze the forces acting on the sphere. The sphere, with a mass of 5.0x10^-3 kg and a charge of -5.0x10^-6 coulombs, is at rest and makes a 30° angle with the vertical. A free-body diagram should illustrate the gravitational force, tension, and electric force acting on the sphere. Without a clear indication of the electric field's direction, additional information is needed to solve the problem accurately. Establishing equilibrium equations will help in calculating the required values.
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.
 

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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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