A capacitor stores `50mu c` charge when connected across a battery . When the gap between the plates is filled with a dielectric , a charge of `100muc` flows through the battery .Find the dielectric constant of the material inserted.

Explanation

Initial charge store `= 50 mu C `
Let the dielectric constant of the material induced b and k . Now when the extra charge flow through battery is `100 mu C` . So, net charge stored in capacitor
` = 150 mu C`
Now `C_2 = BC_1`
` K eplison_0 A / d_1 = 3 eplison_0 A / d and K = 3` .