Topics Discussed
Today in class we discussed Bode plots. Bode plots are essentially semi-log plots that utilize the decibel scale and phase shifts. They are a plot of a transfer function and frequency. From the general form, one can pull four factors: the gain K, a pole (jω)− 1 or zero (jω) at the origin, a simple pole 1/(1 + jω/p 1 ) or zero (1 + jω/z 1 ), and a quadratic pole 1/*1 + j2ζ 2 ω/ω n + (jω/ω n )2 + or zero *1 + j2ζ 1 ω/ω k + (jω/ω k )2 ]. We also discussed resonance, a condition in which a capacitor and inductor have the same reactance. This allows the load to have maximum power at a resonance frequency denoted as ω0. There is a half power frequency next to the resonance frequency on either side, and the distance between the two is known as bandwidth. The quality factor Q is then quantified as ω0/B. This quality factor represents the how sharp the frequency response is. There was no lab today.
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