A parallel plate capacitor with plate area $$A$$ and plate separation $$d = 2$$ m has a capacitance of $$4$$ $$\mu$$F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant $$K = 3$$ (as shown in figure) will be

A

$$2$$ $$\mu$$F

B

$$32$$ $$\mu$$F

C

$$6$$ $$\mu$$F

D

$$8$$ $$\mu$$F