Charges in a Line Conceptual Question with picture

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SUMMARY

The discussion centers on the electrostatic forces acting on a charge Q3 placed between two fixed charges, Q1 = +Q and Q2 = +2Q, separated by a distance of d = 3R. The participants analyze whether the net force on Q3 can be zero based on its charge being positive or negative. The consensus indicates that the force on Q3 cannot be zero regardless of whether Q3 is positive or negative due to the constant repulsive force exerted by Q2, which is greater than the force exerted by Q1.

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  • Basic knowledge of electric charge interactions (attraction and repulsion)
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  • Ability to analyze forces in a linear arrangement
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  • Explore scenarios involving multiple charges and their resultant forces
  • Learn about the concept of electric field and its relation to force
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Homework Statement



Two balls, one with charge Q1 = +Q and the
other with charge Q2 = +2Q, are held fixed at a
separation d = 3R as shown.

See picture.

Another ball with (non-zero) charge Q3 is
introduced in between Q1 and Q2 at a
distance = R from Q1.

See right below first picture.

• Which of the following statements is correct?

1. The force on Q3 can be zero if
Q3 is positive
2. The force on Q3 can be zero if
Q3 is negative
3. The force on Q3 can never be
zero, no matter what the (nonzero)
charge Q3 is.

Homework Equations



F = kq1q2/r

The Attempt at a Solution



I initially said two but then changed my mind because the +2Q charge will always exert a force on Q3 (although it may not be as strong). What do you all think?
 

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Find the net force in each case on charge Q3.
 

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