3. "No calculator" questions. You should be able to answer these quickly without using a calcu- lator. (a) A junction is doped with NA=1e15 boron atoms per cc, and ND = 1e16 arsenic atoms per cc. Calculate the built-in potential at room temperature. (b) In the previous junction, if the doping on one side of the junction is increased by 10x, how does the built-in potential change at room temp? (c) In the original junction running at a particular bias voltage, if the hole current across the junction is 1mA, what is a rough estimate for the electron current? (d) You have an ideal diode with IS = 1e-15A. What is the current with an applied voltage of 300mV? What is the voltage with an applied current of 1uA? (e) If you have ten identical ideal diodes and each one passes 10mA when biased at 0.7V, i. what current will be conducted at 0.7V with all diodes in parallel? ii. what current will be conducted at 0.7V with all diodes in series? iii. what voltage will be necessary to achieve 10mA with all diodes in parallel? iv. what voltage will be necessary to achieve 10mA with all diodes in series