Consider a parallel plate capacitor. When half of the space between the plates is filled with some dielectric material of dielectric constant K as Shown in Fig. (1) below, the capacitance is `C_(1)` . However , if the same dielectric material fills half the space as shown as shown in Fig. (2), the capacitance is `C_(2)`. Therefore, the ratio `C_(1):C_(2)`is

Options

A. 1
B. `(2K)/(K+1)`
C. `(4K)/((K+1)^(2))`
D. `(K+1)/(2)`

Answer

C