The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = +3.0 μC, x₁ = 3.007 cm, y₁ = 0.5 cm, and q₂ = -6.0 μC, x₂ = -2.0 cm, y₂ = 2.0 cm. At what y coordinate should a third particle of charge q₃ = -6.0 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (1/(4πε₀₎ = 8.99×10⁹ N⋅m²/C²⁾.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter23: Electric Forces
Section: Chapter Questions
Problem 43PQ: Charges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C...
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  1. The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = +3.0 μC, x₁ = 3.007 cm, y₁ = 0.5 cm, and q₂ = -6.0 μC, x₂ = -2.0 cm, y₂ = 2.0 cm. At what y coordinate should a third particle of charge q₃ = -6.0 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (1/(4πε₀₎ = 8.99×10⁹ N⋅m²/C²⁾.
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