L10_transfer_function

L10_transfer_function - ESC102 Introduction to Electronics...

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Frequency Response ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Aug 12, 2010
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L10b_transfer_function 2
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Frequency domain analysis What does this circuit do? What is the effect of changing capacitors on its performance? 3 L10b_transfer_function
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Frequency domain analysis Transfer function is a useful tool for finding the frequency response of a system Linear System X( ϖ ) Y( ϖ ) Phasor (V or I) Phasor (V or I) Transfer function has a magnitude and a phase ( 29 X Y j H = ϖ : Function Transfer 4 L10b_transfer_function
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( 29 X Y j H = ϖ : Function Transfer 5 L10b_transfer_function
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+ + = 5000 1 100 1 10 ) ( 2 ϖ ϖ ϖ ϖ j j j j H 0 2 4 6 8 10 x 10 4 0 100 200 300 400 500 ϖ (rad/s) |Η|
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Logarithmic frequency scale f (Hz) 10 4 10 3 10 2 1 decade 2 decades 10 1 1 50 1 octave ϖ (rad/s) = 1 2 10 log decades of Number ϖ ϖ 7 L10b_transfer_function
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10 1 10 2 10 3 10 4 10 5 0 100 200 300 400 500 Freqeuncy (Hz) |H| ϖ (rad/s) 8 L10b_transfer_function
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