A disk-shaped parallel plate capacitor is made with a radius of2 cm and a plate separation distance of 2/π millimeters. Thedielectric is in two layers, each of thickness 1/π mm. The firstlayer is all composed of a material with dielectric constant 9. Thesecond layer is actually made of two materials in a bullseyepattern. The inner circle has radius 1 cm and dielectric constant6. The annular ring around it has dielectric constant 4. The entirecapacitor is charged up on a 360 V and then disconnected from thevoltage source. While it is still charged, the plates are movedfarther apart to accommodate another layer 1/π mm thick of materialwith dielectric constant 1. Find the final voltage and charge onthe capacitor. Use 9x10^-12 C²/J·m for the permittivity of emptyspace.
