A parallel plate capacitor has plate area 40 ~cm ^2 and plate separation 2 mm . The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5 . The capacitance of the system is ( ₀= permittivity of vacuum)

Step-by-step solution

As the two capacitors are in series combination, aligned & 1 C _ eq = 1 C ₁ + 1 C ₂ = 1 ~A ₀ k t + 1 A ₀ d-t = t ~A ₀ k + d-t ~A ₀ & = 1 10⁻³ 40 10⁻⁴ 5 ₀ + (2 10⁻³-1 10⁻³ ) 40 ₀ 10⁻⁴ & 1 C _ eq = 1 20 ₀ + 1 4 ₀ & C _ eq = 10 3 ₀ ~F aligned