A parallel plate capacitor is partially filled with a material whose dielectric constant is known to be K as shown in below picture. Each plate is square in shape with a side length of L . The separation between the plates is d.

a) Find the equivalent capacitance of this configuration.
b) Suppose we charge the capacitor plates as shown in below picture and disconnect the terminals from the power source. At a given instant, we try to move the dielectric material outside of the capacitor plates as shown below. What will be the force due to the conservative electric field?

c) Repeat Part b for the case when the capacitor is still connected to a DC power source as shown below:
