Suppose that we are designing a cardiac pacemaker circuit. The circuit is required to deliver pulses of 1-ms duration to the heart, which can be modeled as a 500 ohm resistance. The peak amplitude of the pulses is required to be 5 volts. However, the battery delivers only 2.5 volts. Therefore, we decide to charge two equal-value capacitors in parallel from the 2.5-V battery then switch the capacitors in series with the heart during the 1-ms pulse. What is the minimum value of the capacitances required so the output pulse altitude remains between 4.9 V and 5.0 V throughout its 1-ms duration? If the pulses occur once every second, what is the average current drain on the battery? Assume constant current during the output pulse. Find the ampere-hour rating of the battery so it lasts for five years.