Calculating Charge in Equilibrium for an Electrostatics Problem

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The discussion focuses on calculating the charge q_1 in an electrostatics problem involving two charges, q_1 and q_2, with a central particle of charge -3.0 nC positioned equidistantly between them. The established formula for the electrostatic force, F = |q1||q2|*K/(r^2), is utilized to derive the relationship between the charges. By setting the forces exerted on the central particle equal, it is concluded that q_1 must equal 12 nC to maintain static equilibrium, given that q_2 is fixed.

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  • Familiarity with the concept of static equilibrium in physics
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This discussion is beneficial for physics students, educators, and professionals involved in electrostatics, particularly those focusing on charge interactions and equilibrium conditions in charged systems.

Linus Pauling
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1. q_2 is in static equilibrium. What is q_1?

There's a particle with a charge of -3.0nC between q_1 and q_2, 10cm from each.



2. F = |q1||q2|*K/(r^2)


3. I know the answer is 12 nC but I don't see how to get it. I figured you had to approach the problem using the above equation, knowing that q1 must equal q2 and the forces each exerts on the central particle are equal in magnitude and opposite in sign...
 
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Assume Q2 fixed.
For equilibrium,
k*Q2*Q3/d^2 = k*Q2*Q1/(2d)^2.
Now solve for Q1.
 

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