The circuit in the figure below consists of two identical, parallel metal plates connected to identical metal springs, a switch, and a 136-V battery. With the switch open, the plates are uncharged, are separated by a distance d = 7.60 mm, and have a capacitance C = 2.00 μF. When the switch is closed, the distance between the plates decreases by a factor of 0.500. (a) How much charge collects on each plate? μC (b) What is the spring constant for each spring? kN/m