Results 1 to 3 of 3

Math Help - Combining equations to make one!

  1. #1
    Newbie
    Joined
    Aug 2011
    Posts
    14

    Combining equations to make one!

    Hello this question is based on a transfer function problem and I have the following formulas and need to arrive at an equation for T/VD in terms of k0, k1, k2 and kt

    where E = VD - VM, I = Ek1, T = k0I, Vt = ktT and Vm = k2Vt

    My attempt:

    T = k0I where I = Ek1 therefore T = k0Ek1 where E = VD - VM hence T = K0(VD - VM)K1

    Also we know that T = Vt/kt where Vt = VM/k2 therefore T = VM/(k2kt) hence VM = Tk2kt

    and substituting VM = Tk2kt into T = K0(VD - VM)K1

    we have T = K0(VD - Tk2kt)K1 expanding brackets: T = K0K1VD - K0k1Tk2kt

    I've tried various rearragements of this but don't seem to come up with T/VD can anyone show me where I'm going wrong?
    I'm really stuck

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: Combining equations to make one!

    \frac{T}{V_D}=\frac{k_0 \cdot I}{E+V_M}=\frac{k_0 \cdot I}{\frac{I}{k_1}+k_2 \cdot V_t}=\frac{k_0 \cdot I}{\frac{I}{k_1}+k_2 \cdot k_t \cdot T}=

    =\frac{k_0 \cdot I}{\frac{I}{k_1}+k_2 \cdot k_t \cdot k_0 \cdot I}=\frac{k_0}{\frac{1}{k_1}+k_2 \cdot k_t \cdot k_0}=\frac{k_1 \cdot k_0}{1+k_1 \cdot k_2 \cdot k_t \cdot k_0}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2011
    Posts
    14

    Re: Combining equations to make one!

    Got it now, thanks for your help!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: November 6th 2011, 06:50 PM
  2. Transfer Function Help
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: July 22nd 2011, 10:37 AM
  3. derive formulas in mathematical logic
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: March 4th 2010, 03:25 AM
  4. transfer function
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: January 29th 2010, 02:07 AM
  5. Transfer Function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 12th 2008, 01:53 PM

Search Tags


/mathhelpforum @mathhelpforum