User:Composingliger/Sandbox

This page is a small sandbox for me to practice some wikimarkup without having to worry about the sandbox being cleaned every 2 seconds.

Math Markup
MOSFET drain current characteristics:

$$ i_D = k'_N \frac{W}{L} \begin{cases} 0, & \mbox{(Cutoff, } v_{GS}-V_t \le 0\mbox{)} \\ \left [ (v_{GS}-V_t)v_{DS}-\frac{1}{2} {v_{DS}}^2) \right ], & \mbox{(Triode, } v_{DS} < v_{GS}-V_t\mbox{)}\\ \frac{1}{2}(v_{GS} - V_t)^2, & \mbox{(Saturation, } v_{DS} \ge v_{GS}-V_t\mbox{)} \end{cases} $$

BJT current characteristics:

$$ i_E = i_B + i_C $$

$$ i_C = I_S e^{v_{BE}/V_T} \mbox{; where } V_T = \frac{kT}{q} = 25mV \mbox{ at room temp} $$

$$ \beta = \frac{i_C}{i_B} $$