A capacitor stores `60muC` charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of `120muC` flows through the battery. The dielectric constant of the material inserted is:

Options

A. 1
B. 2
C. 3
D. None

Answer

C

Explanation

`C_(1)=(q)/(V)=(60xx10^(-6))/(V)`
`C_(2)=(60xx10^(-6)+120xx10^(-6))/(V)=(180xx10^(-6))/(V)`
`C_(2)=3C_(1)=KC_(1)`
`K=3`