A dielectric-filled capacitor consists of two parallel plates,each with an area  A = 15.0 cm2 , seperated by a distanceof d = 10.0 mm and dielectric constant k = 4.00. A potentialdifference  V= 10.0 V  is applied to theseplates . Throughout the problem, use ϵ0 = 8.85×10−12C2/N⋅m2
Part A)
Calculate the energy U1of the dielectric-filledcapacitor.(J)
Part B)
The capacitor remains connected to the battery. Calculate theenergy U2 of the capacitor at the moment when the capacitor ishalf-filled with the dielectric, because the dielectric is slowlypulled away. of(J)
Part C
The capacitor is now disconnected from the battery, and thedielectric plate is slowly removed the rest of the way out of thecapacitor. Find the new energy of the capacitor, U3 of (J)
Part D)
In the process of removing the remaining portion of thedielectric from the disconnected capacitor, how much work W is doneby the external agent acting on the dielectric? of (J)
