C = 0.274μF.
The capacitance when a dielectric is present is given by the equation:
C = kε₀(A/d)
Where k is the dielectric constant of the material, ε₀ is a universal constant, A is the area of the capacitor's plates, and d is the distance that separate the plates.
A parallel plates capacitor with plates of area 1.0cm² that are separated by a distance of 0.1mm, the dielectric constant of the stronium titanate is 310 at a temperature of 20 ° C.
K = 310.00, ε₀ = 8.85x10⁻¹²F/m, A = 1.00x10⁻²m², and d = 0.10x10⁻³m. Substituing the values in the equation C = kε₀(A/d):
C = (310.00)(8.85x10⁻¹²F/m)(1.00x10⁻²m²/0.10x10⁻³m)
C = (2.74x10⁻⁹F/m)(100m)
C = 2.74x10⁻⁷F
C = 0.274x10⁻⁶ = 0.274μF
