Derive and sketch the electrical field E of doping concentrations And(x) are given by,

(a) Nd (x) = ax, where a is a constant;
(b) Nd (x) = Noe-ax ;
(c) Nd (x) = 1016 – 1019x (cm-1), where x is distance from the slab surface and end at x = L
(d) In part (c), calculate Emax at x = 0 and the thickness L of the semiconductor lab if Nd reduce to 50% of the surface value.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i. d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.