The capacitance of a capacitor between` 4//3` times its original value if a dielectric slab of thickness `t=d//2` is inserted between the plates (d is the separation between the plates). What is the dielectric consant of the slab?

Options

A. 4
B. 8
C. 2
D. 6

Answer

C

Explanation

`E_(1)=(1)/(2)(Q^(2))/(C_(0)//2)=C_(0)V_(0)^(2), E_(2)=(1)/(2)(C_(0))/(2).V_(0)^(2)=(1)/(4)C_(0)V_(0)^(2), (E_(1))/(E_(2))=(4)/(1)`