4 CL' l. l Figure 1. A square plate capacitor is connected to a voltage V. The side length of each plate is L and there is a distance d between them. A dielectric material is inserted a distance x in the capacitor. A square capacitor has plates with side L and separation d. Throughout, it is connected to a battery with terminal potential V. A square slab of dielectric with dielectric constant K, side L and thickness dis inserted a distance x as indicated. Lid and x/d are sufficiently large that edge effects may be neglected. Part 1) Give an expression for the capacitance between the two plates in terms of the variables named and any relevant physical constants. (Hint: treat the system as two capacitors.) Clallllel = |:l Part 2) Give an expression for the energy stored on the capacitor in terms of the variables named and any relevant physical constants. (Practical hint: you can cut and paste terms from one window to another.) Part 3) Give an expression for the change in U associated with increasing the insertion of the dielectric by a distance dx. dU=