Physics II: Determine Electric Field Intensity for Equilibrium

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SUMMARY

The discussion centers on calculating the electric field intensity required for two charged spheres to remain in equilibrium when suspended by strings. The spheres, with charges of -4.0 x 10-8 C and +4.0 x 10-8 C, are positioned at an angle of θ = 11° due to the influence of a uniform electric field in the x direction. The solution involves analyzing the forces acting on each sphere and applying Newton's second law, specifically F = ma = 0, to establish equilibrium conditions. The final answer must be expressed in Newtons per Coulomb (N/C).

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  • Understanding of electric fields and Coulomb's law
  • Knowledge of Newton's laws of motion
  • Ability to analyze forces in equilibrium
  • Familiarity with trigonometric functions for angle calculations
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  • Study the principles of electric fields and their calculations in physics
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This discussion is beneficial for physics students, educators, and anyone involved in understanding electric fields and forces in equilibrium scenarios.

abelinkin1988
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Homework Statement



Two 3.0 g spheres are suspended by 9.0 cm long light strings. A uniform electric field is applied in the x direction. If the spheres have charges of -4.X10-8 C(coulomb) and +4.X10-8 C, determine the electric field intensity that enables the spheres to be in equilibrium at θ = 11°.


picture: http://www.webassign.net/sercp/p15-57.gif

So the units to the answer should be Newtons/Coulomb


The Attempt at a Solution


I am unclear on how to get the answer because i feel overwhelmed by formulas I can use. I've tried and the answer is definitely not 304,843.5. You see what I mean?

I would appreciate some ideas.


-Abe
 
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Consider the forces on each charge. Sketch their vectors on a diagram. Write equations saying that the sum of the forces on each charge in the horizontal and vertical directions are zero (because they are not accelerating, F = ma = 0).
 
Delphi51 said:
Consider the forces on each charge. Sketch their vectors on a diagram. Write equations saying that the sum of the forces on each charge in the horizontal and vertical directions are zero (because they are not accelerating, F = ma = 0).

Could you tell me how do i organize the number to get the answer? as in what equations do I use as well.
 

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