Magnitude of transfer function

Discussion in 'Homework Help' started by thisonedude, Aug 27, 2014.

  1. thisonedude

    Thread Starter Member

    Apr 20, 2014
    52
    0
    So i am study for a midterm that i have this coming Friday. I need help finding the magnitude of the following transfer function:

    H(jω) = (-Rf/R1) * ((1/RfC)/((1/RfC)+jω))

    Can anyone help?
     
  2. anhnha

    Active Member

    Apr 19, 2012
    773
    45
  3. MrAl

    Well-Known Member

    Jun 17, 2014
    2,425
    490
    Hi,

    In short, for a given complex number:
    y=a+b*j

    the magnitude is:
    |y|=sqrt(a^2+b^2)

    and for a fraction:
    y=N/D=(a+b*j)/(c+d*j)

    the magnitude is:
    |y|=|N|/|D|

    or written out:
    |y|=sqrt(a^2+b^2)/sqrt(c^2+d^2)

    or written differently:
    |y|=sqrt((a^2+b^2)/(c^2+d^2))

    For a product:
    y=A*B=(a+b*j)*(c+d*j)

    we have:
    |y|=|A|*|B|=sqrt(a^2+b^2)*sqrt(c^2+d^2)=sqrt((a^2+b^2)*(c^2+d^2))
     
    anhnha likes this.
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