A parallel plate capacitor with surface area LW and charge if) is lled with an insulator that has a relative dielectric constant Er. The plates are separated by a distance 2. L 45 a) Find the E and D field between the plates. Hint: derive expressions for E and D using Gauss' law. One ofthese expressions will be In terms of the bound charge density orb. Then use a relationship between E and D to solve for ob, so you can express E and D In terms of the variables given in the problem. b) Calculate the electric potential difference AV between the capacitor plates? c) Find the capacitance. d) Find the stored energy of the system. e} Which of b}, c), and d} will increase as 5,. increases? Now we will begin to pull the dielectric material out from between the 2 plates. L 4D f) Find the capacitance of the configuration when the dielectric material has been pulled a distance x. g} Find the stored energy. h) Is there a force on the dielectric? (Hint: yes]. Explain why. Calculate the magnitude ofthe force. Which way does in point i.e. is the dielectric pulled back inside the capacitor or pushed out? i} What can you conclude in general about how dielectrics behave when exposed to electric fields