A dielectric-filled parallel-plate capacitor has plate area of30.0 and plate separation of 8.00. The capacitor is connected to a battery that creates aconstant voltage of 12.5. The dielectric constant is 2.00 . Throughout the problem,use 8.85×10-12. Find the energy of the dielectric-filled capacitor The dielectric plate is now slowly pulled outof the capacitor, which remains connected to the battery. Find theenergy of the capacitor at the moment when the capacitor ishalf-filled with the dielectric. The capacitor is now disconnected from thebattery, and the dielectric plate is then slowly removed the restof the way out of the capacitor. Find the new energy of thecapacitor, . In the process of removing the remainingportion of the dielectric from the disconnected capacitor, how muchwork is done by the external agent acting on the dielectric?