What is the capacitance of a parallel place capacitor with plates of area 1.0 cm2 that are separated by a distance of 0.1 mm? Assume that strontium titanate is the dielectric.

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