1. Transfer function T(w) • Transfer function T(w)= Output / Input = • Note that the output response depends on the frequency of the input sinusoid

2. What the transfer function T(w) tells us • where

3. What the transfer function T(w) tells us • If • then • What is ? • Amplitude (or magnitude) of V2 is equal to the magnitude of V1 is multiplied by • What is ? • the phase angle between V2 and V1 is q

4. Transfer function T(w) • Magnitude transfer function |T(w)| • This tells us the relative change of magnitude between input and output • Phase transfer function • This tells us the relative change of phase angle between input and output

5. Useful tricks • Faster way to compute complex ratio • a+jb = r1 ejq1, c+jd = r2 ejq2, • Hence Polar form

6. Useful trick • Graphically as • Magnitude = • Phase = r1 b a r2 d c

7. Low pass filter • Transfer function T(w) = • Magnitude transfer function |T(w)| • r1 = 1, r2 = • Phase transfer function • q1 = 0, q2 = tan-1wCR