Three identical capacitors C₁, C₂ and C₃, each 1.0 µF, are initially uncharged and connected as shown. C₁ is completely filled with a dielectric of relative permittivity εᵣ. The cell emf is V₀ = 8 V. First S₁ is closed while S₂ remains open. After C₃ is fully charged, S₁ is opened and S₂ is closed simultaneously. At final equilibrium, the charge on C₃ is 5 µC. Find εᵣ.
Physics · Capacitor
Three identical capacitors C₁, C₂ and C₃, each 1.0 µF, are initially uncharged and connected as shown. C₁ is completely filled with a dielectric of relative permittivity εᵣ. The cell emf is V₀ = 8 V. First S₁ is closed while S₂ remains open. After C₃ is fully charged, S₁ is opened and S₂ is closed simultaneously. At final equilibrium, the charge on C₃ is 5 µC. Find εᵣ.
