A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as :

(1) \(\left(\varepsilon_0 + \frac{kd}{2}\right)^{2/kA}\)
(2) \(\frac{kA}{\text{2 In}\left(\frac{2\varepsilon_0 + kd}{2\varepsilon_0}\right)}\)
(3) 0
(4) \(\frac{kA}{2}In \left(\frac{2\varepsilon_0}{2\varepsilon_0-kd}\right)\)