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useful_formulas [2015/05/06 20:21] (current)
104.228.198.109 created
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 +====== Useful Formulas ======
  
 +----
 +
 +==== MOSFET Current Equations ====
 +\[I_D=\frac{1}{2}\mu C_{ox}\frac{W}{L}\left ( V_{GS}-V_T \right )^2\]
 +\[I_D=\mu C_{ox}\frac{W}{L}\left [\left ( V_{GS}-V_T \right ) V_{DS}-\frac{1}{2}V_{DS}^{2} \right ]\]
 +==== MOSFET Transconductance ====
 +\[g_m=\sqrt{2\mu C_{ox}\frac{W}{L}I_D}\]
 +\[g_m=\frac{2I_D}{V_{GS}-V_T}\]
 +\[g_m=\mu C_{ox}\frac{W}{L}\left ( V_{GS}-V_T \right )\]
 +==== Small Signal Resistance ====
 +\[r_o=\frac{1}{\lambda I_D}\]
 +==== Cascode Input Resistance ====
 +\[r_{in}=\left [ 1 + \left ( g_{m1} + g_{mb1} \right )r_{o1} \right ]r_{o2}+r_{o1}\]
 +\[r_{in}\approx g_{m1}r_{o1}r_{o2}\]
useful_formulas.txt ยท Last modified: 2015/05/06 20:21 by 104.228.198.109