LECTURE 8 (full) - CTURE 8 LECTURE 8. OPERATIONAL...

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Unformatted text preview: CTURE 8 LECTURE 8. OPERATIONAL AMPLIFIERS (I) structor: Prof. kyu ark Instructor: Prof. Inkyu Park Department of Mechanical Engineering Korea Advanced Institute of Science and Technology (KAIST) MAE307 Applied Electronics © Inkyu Park, 2010 Review of Lecture 6-7 MAE307 Applied Electronics © Inkyu Park, 2010 Sinusoidal Frequency Response Electrical System Input Signal Output Signal omponent #1 Component #1 Component #2 Component #1 Component #2 Component #3 Component #4 Component #3 Component #4 • Each frequency component of input signal has different effect on that of output signal (amplitude amplification, phase shift) MAE307 Applied Electronics © Inkyu Park, 2010 Sinusoidal Frequency Response • We use the general formula to describe the frequency response (transfer fn). ) ( j V L ) ( ) ( j V j H S V • This phasor form can be rewritten as ) ( ) ( ) ( j V j H j V S V L S V S V O H j S V j S H j V j L e V H e V e H e V • Thus, the amplitude and phase of the output signal are S V L V H V S V L H Amplitude of transfer fn. Phase of transfer fn. MAE307 Applied Electronics © Inkyu Park, 2010 Bode Plots • Plots of amplitude and phase of the frequency response (transfer function) vs. frequency of the input signal. – amplitude: in dB i dB i dB A A A A j H 10 log 20 ) ( – phase: in degree (or radian) • For example, let’s look at the low-pass filter: 1 2 tan ) / ( 1 / 1 ) ( ) ( ) ( K j K j V j V j H i o 2 10 10 2 10 ) / ( 1 log 10 log 20 log 20 ) ( K K j H dB- Amplitude ) / ( 1 - Phase n 1 MAE307 Applied Electronics © Inkyu Park, 2010 ) / ( tan ) ( j H Bode Plots : Amplitude (for low-pass filter) 2 10 10 2 10 ) / ( 1 log 10 log 20 ) / ( 1 log 20 ) ( K K j H dB For K j H dB 10 log 20 ) ( dB K K j H dB 3 log 20 2 log 20 log 20 ) ( 10 10 10 ) / ( log 20 log 20 ) ( 10 10 K j H dB MAE307 Applied Electronics © Inkyu Park, 2010 10-2 10-1 10 10 1 10 2 Correct Fig 6.37 Bode Plots : Phase (for low-pass filter) For ) / ( tan ) ( 1 j H ) ( j H 4 ) ( j H 2 ) ( j H MAE307 Applied Electronics © Inkyu Park, 2010 10-2 10-1 10 10 1 10 2 Correct Fig 6.37 Bode Plots : For high-pass filter 1 2 tan 2 ) / ( 1 / / 1 / ) ( ) ( ) ( K j jK j V j V j H i o For ) / ( log 20 log 20 ) ( 10 10...
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LECTURE 8 (full) - CTURE 8 LECTURE 8. OPERATIONAL...

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