1. A parallel plate capacitor has plates of area A and separation d. Assuming that the separation is much smaller than the dimensions of the plate, use Gauss' law to

calculate the capacitance. For the Gaussian surface, draw a box around a single plate. Two sheets of different dielectrics, with dielectric constant kı and k2 and both of thickness d/2,are now introduced to fill the gap, as shown in the figure. Calculate the resulting capacitance.