Coupled differential Equations

**WantMath** · October 13th 2008, 02:13 PM

$Vds=(R_S+R_d)*I_d+VDS$
$Vgs=VGS+R_S*I_d$
$dI_d/dVgs=g_m$
$dI_d/dVGS=gmo$
$dI_d/dVDS=gdo$

Hi,
I have a problem with finding $g_m$ in terms of gmo, gdo, $R_s$ and $R_d$ . Does anyone know how to do this?

**Jason Bourne** · October 13th 2008, 02:22 PM

Originally Posted by WantMath

$Vds=(R_S+R_d)*I_d+VDS$
$Vgs=VGS+R_S*I_d$
$dI_d/dVgs=g_m$
$dI_d/dVGS=gmo$
$dI_d/dVDS=gdo$

Hi,
I have a problem with finding $g_m$ in terms of gmo, gdo, $R_s$ and $R_d$ . Does anyone know how to do this?

please provide more explanation unto your problem

**WantMath** · October 13th 2008, 02:26 PM

well, the answer looks like
$g_m=gmo/(1+gmo*R_S+gdo*(R_S+R_D))$

I just don't know how to get there

**Jason Bourne** · October 14th 2008, 05:44 AM

Sorry I'm not sure. It might help if you explain what each symbol is? What is "gdo" for instance? And

$\frac{dI_d}{dV}gs=g_m$

???

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