A parallel-plate capacitor has capacitance = 12.5 pF when the volume
between the plates is filled with air. The plates are circular, with radius
3.00 cm. The capacitor is connected to a battery, and a charge of magnitude
25.0 pC goes onto each plate. With the capacitor still connected to the
battery, a slab of dielectric is inserted between the plates, completely
filling the space between the plates. After the dielectric has been inserted,
the charge on each plate has magnitude 45.0 pC. (a) What is the dielectric
constant of the dielectric? (b) What is the potential difference between
the plates before and after the dielectric has been inserted? (c) What is the
electric field at a point midway between the plates before and after the
dielectric has been inserted?