If the distance between the plates of parallel plate capacitor is halved and the dielectric constant of dielectric is doubled, then its capacity will

Options

A. increases by 16 times
B. increases by 4 times
C. increases by 2 times
D. remains the same

Answer

B

Explanation

`d_(2)=d_(1)/2,k_(2)=2k_(1),C_(2)=?`
`Cpropk/d`
`C_(2)/C_(1)=k_(2)/k_(1)xxd_(1)/d_(2)`
`C_(2)=(2k_(1))/k_(1)xxd_(1)/d_(2)xxC_(1)=4C_(1)`
= Increases by four times