The capacitance of a parallel plate capacitor with air as medium is 3 F . With the introduction of a dielectric medium between the plates, the capacitance becomes 15 F . The permittivity of the medium in SI unit is [ ₀=8 85 10⁻¹² . SI unit]

Step-by-step solution

Capacitance of a paralle plate capacitor C = A d here is the permitivity of the medium For air medium = ₀=8.85 10⁻¹² C ² ~N ⁻¹ ~m ⁻² C ^ = ₀ ~A ~d .1 whearas for dielectric medium capacitance C = A d 2 From 1 and 2 array l C C ^ = ₀ = 15 3 8.85 10⁻¹²= (44.25 10⁻¹² )=0.44 10⁻¹⁰ C ² ~N ⁻¹ ~m ² array Hence the permitivity of the medium =0.44 10⁻¹⁰ C ² ~N ⁻¹ ~m ²