Consider the diagram,

A parallel plate capacitor has the plate width t and length L while the separation between the plates is d. The capacitor is connected to a battery of voltage rating V. A dielectric which carefully occupy, the space between the plates of the capacitor is slowly inserted between the plates. when length x of the dielectric slab is introduced into the capacitor, then energy stored in the system is

Options

A. `(epsi_(0) t V^(2))/(2d) L`
B. `(epsi_(0) t V^(2))/(2d) L[x+1]`
C. `(epsi_(0)tV^(2))/(2d) [L+x(K-1)]`
D. `(epsi_(0)^(2) t^(2) V^(2))/(2d^(2)) [L^(2)+x+1]`

Answer

C