1. Calculate the capacitance of a parallel plate capacitor whose plates are 20 cm x 30 cm and are separated by a 1.0 mm gap. What is the charge on each plate if the capacitor is connected to a 12 V battery? What is the approximate electric field between the two plates?
2. A 47µF capacitor is charged to 100V and discharged through a 47kΩ resistor. At t = 1s, 2s, 3s, 4s and 5s, find the amount of charge Q(t) on each plate, the voltage V(t) across the capacitor and the current I(t) flowing through the resistor. (Hint: Recall that Q=CVC and VR =IR)