Magnitude of a Point Charge on a Line

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SUMMARY

The discussion centers on calculating the magnitude of a second point charge, |q2|, when placed alongside a known positive point charge, +q1 = 1.19 µC, affecting the electric field at a point P. The net electric field at P is established to be twice that of the field produced by q1 alone. The relevant equation used is E = kq/r², where k is the electrostatic constant. The principle of superposition is crucial, as it states that the net electric field is the vector sum of the fields from both charges.

PREREQUISITES
  • Understanding of Coulomb's Law and electric fields
  • Familiarity with the principle of superposition in electrostatics
  • Knowledge of vector addition in physics
  • Ability to manipulate algebraic equations involving electric fields
NEXT STEPS
  • Study the concept of electric field vectors and their directions
  • Learn about the principle of superposition in electrostatics
  • Explore the implications of charge polarity on electric fields
  • Practice problems involving multiple point charges and net electric fields
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Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields generated by point charges.

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Homework Statement


The drawing shows a positive point charge +q1, a second point charge q2 that may be positive or negative, and a spot labeled P, all on the same straight line.
The distance d between the two charges is the same as the distance between q1 and the spot P.
With q2 present, the magnitude of the net electric field at P is twice what it is when q1 is present alone.
Given that q1 = +1.19 µC, determine the magnitude |q2| when q2 is positive. Determine the magnitude |q2| when q2 is negative.

qu48.gif


Homework Equations


Actually my problem is I don't know which equation I'm supposed to use. All I know is that E = kq/r2


The Attempt at a Solution


I tried making an equation, given that the net field at P is twice what q1 is alone. So I would then have something like:
2(kq/r2) = kqQ/2r2
I'm not sure if that's right though. I would just get 4 as an answer. And then I have no idea what to do about -q2...
 
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The basic concept in this problem is the principle of superposition. The net electric field vector at point P when both charges are present is the sum of the electric field vectors from each charge.

##\vec{E}_{net} = \vec{E}_1 + \vec{E}_2##.

You will need to think about the directions of the vectors and how to express the distance ##r## for each charge in terms of the distance ##d## given in the figure.
 

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