question_answer

A parallel plate air capacitor has a capacitance C (Fig. 1). When it is half filled with a dielectric of dielectric constant 5 (Fig. 2), the percentage increase in the capacitance will be

A) 400%                 

B) 33.3%

C) 66.6%  

D) 200%

Correct Answer: D

Solution :

[d] Now If          \[C=\frac{A{{\varepsilon }_{0}}}{d}\] \[Ceq=3C\] \[\Delta C=3C-C\]   % \[\Delta C\]= 200%