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Math Help - Coupled differential Equations

  1. #1
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    Coupled differential Equations

    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?
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  2. #2
    Member Jason Bourne's Avatar
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    Quote Originally Posted by WantMath View Post
    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
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  3. #3
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    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
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  4. #4
    Member Jason Bourne's Avatar
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    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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