One plate of a parallel plate capacitor is tilted by a small angle about its central line as shown in the Figure. The tilt angle `theta` is small. Both the plates are square in shape with side length a and separation between their centers is d. Find the capacitance of the capacitor.
Given : `l n(1+x)=x-(x^(2))/(2)+(x^(3))/(3)+....`
`l n(1-x)=-(x+(x^(2))/(2)+(x^(3))/(3)+....)`

Answer

`(in_(0)a^(2))/(d)[1+(a^(2)theta^(2))/(12d^(2))]`