An abrupt Si p-n junction has Na= 10 18 cm-3 on one side and Na = 5 x 10 13 cm-3 on the other. Draw a PN junction assuming p-side

is on the left side and x is increasing towards right. a. Draw the Fermi level positions and energy band diagram across the PN junction b. Draw the charge profile across the PN junction. c. Calculate the depletion region width. Also calculate the depletion region lengths on the two sides: P and N-sides. Which side is longer and why (Explain in terms of carrier concentration on each side)? d. Draw the electric field profile. Mark the value of maximum (magnitude) of the electricfield. e. Draw the potential (or voltage) profile across the PN junction. Mark the value of built-in voltage (Opi).