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A particle of mass 5 x 10⁻⁹ kg is held at some distance from very large uniformly charged plane. The surface charge density on the plane is 4 x 10⁻⁶C/m². What should be the charge on the particle so that the particle remains stationary even after releasing it ? ε₀ = 8.85 x 10⁻¹² C⁻² m², g = 9.8 ms⁻²

Answer»

udent,◆ Answer -Q = 2.168×10^-13 C◆ Explanation -For the particle to remain STATIONARY, its gravitational force should be BALANCED by electrostatic force.Fg = Fem.g = q.Em.g = q.σ/2ε₀q = 2m.g.ε₀/σSubstitute values,q = 2 × 5×10^-9 × 9.8 × 8.85×10^-12 / 4×10^-6q = 2.168×10^-13 CTherefore, CHARGE on the particle must be 2.168×10^-13 C.Hope this helps you...



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