2.Two square conducting plates with sides of length are L separated bya distance A dielectric slab with constant with D. K dimensions is inserted adistance into the space x between the plates, as shown in Fig below.Dielectricconstant KKDXa) Find the capacitance C of this system.b) (b) Suppose that in the give figure capacitor is connected to a batterythat maintains a constant potential difference between the plates. If thedielectric slab is inserted an additional distance into the space dxbetween the plates, Find the change in stored energy c) Suppose that before the slab is moved by the plates aredisconnected from the battery, so that the charges on the plates remainconstant. Determine the magnitude of the charge on each plate, and thenfind change in stored energy when the slab is moved farther dx into thespace between the plates, .How does this change in energy compared toobtained in (b).d) If F is the force exerted on the slab by the charges on the plates, thenchange in energy obtained in part (b) should be equal the work doneagainst this force to move the slab a distance. Show that by applyingthis condition to the result of part (b) suggests that the electric force onthe slab pushes it out of the capacitor, while the result of part (c)suggests that the force pulls the slab into capacitor. Draw a diagram thatshows the force pulls the slab into the capacitor. Explain why the resultof part (b) gives an incorrect answer for the direction of this force andcalculate the magnitude o of the force.

a) To find the capacitance C of the system with the dielectric slab, you can use the…