The net force on particle q₃ is 6.2128125 N.
What is electrostatic force?
The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
F = kq₁q₂/d²
where k = 9 x 10⁹ N.m²/C²
Given is the diagram in which each of the particles has a charge of -2.35 x 10⁻⁶ C. Particles q₁ and q₂ are separated by 0.100 m and particles q₂ and q₃ are separated by 0.100 m.
Force acting on q₃ due to q₁
F₃₁ = 9 x 10⁹ x (-2.35 x 10⁻⁶)²/(0.1)²
F₃₁ = 4.97025 N(in right direction)
Force acting on q₃ due to q₂
F₃₂ = 9 x 10⁹ x (-2.35 x 10⁻⁶)²/(0.1+0.1)²
F₃₂ = 1.2425 N (in right direction)
Net force acting on particle q₃ is
F₃ = F₃₁ +F₃₂
F₃ = 4.97025 N + 1.2425 N
F₃ = 6.2128125 N
Thus the net force on a charged particle is 6.2128125 N to the right.
Learn more about electrostatic force.
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