You are building a small circuit that consists of a resistor in series with a capacitor as shown. You need the capacitor to store 42.2 mJ of energy when a 15.5 V battery is connected between terminals A and B for a long time. Then, you need the capacitor to discharge half of this stored in energy in exactly 4.43 seconds when the battery is removed and replaced by a 14900 ? load. Determine the ideal values for the capacitor and resistor such that your circuit will achieve these design goals.