lab3_opamp_FO_phase_shift - Sources of Phase Shift * Lab 3:...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Sources of Phase Shift * Lab 3: Operational Amplifiers and First-Order Circuits ECE 209: Circuits and Electronics Laboratory Understanding why phase shift occurs is one of the most difficult aspects of learning to analyze circuits. In this document, the sources of phase shift for two simple first-order filters are discussed. In both cases, the ultimate source is the lag between pressure and flow across the storage elements in the circuit. For example, when sinusoidal capacitor voltage is near zero, the rate of voltage change is very high, and so the current into the capacitor is at its peak (e.g., it is easiest to move a spring if it is relaxed). Resistive sources in the circuit turn that current into voltage, which results in two voltages in the same circuit with equal frequency and different phase. The tension between these two sources sets up different phase shifts at different frequencies. First-Order RC Low-Pass Filter The voltage divider shown below is a simple low-pass filter. R C v in v out 0 V i C ( t ) = C d v C ( t ) d t Z C ( s ) = 1 sC H ( s ) defines V out ( s ) V in ( s ) = 1 sC R + 1 sC = 1 sRC + 1 | H ( j ) | = 1 radicalbig ( RC ) 2 + 1 H ( j ) =- arctan( RC ) 0 dB Magnitude 45 90 Phase The magnitude response of the filter can be explained by likening the capacitor to an open circuit at low frequencies (i.e., impedance magnitude | 1 / ( jC ) | is near infinity for 0) and a short circuit at high frequencies ( | 1 / ( jC ) | 0 when ). That is, When the input is constant or has very slow changes, the capacitor acts like an open circuit. That is, it draws very little current. These slow frequencies are copied nearly perfectly onto the output....
View Full Document

This note was uploaded on 10/27/2010 for the course ECEN 314 taught by Professor Halverson during the Spring '08 term at Texas A&M.

Page1 / 2

lab3_opamp_FO_phase_shift - Sources of Phase Shift * Lab 3:...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online