L12_transfer_function

L12_transfer_function - Frequency Response ESC102 :...

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Unformatted text preview: Frequency Response ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Aug 17, 2010 Series Resonant Circuit v S C i(t) L R Resonance is a condition in which capacitive and inductive reactance cancel each other to give rise to a purely resistive circuit 1 eq Z R j L j C = +- Resonant frequency: 1 1 O O O j L j C LC - = = 1 2 O f LC = eq Z R = Current and voltage are in phase (power factor is unity) and current is maximum ! 2 L12_transfer_function v S C i(t) L R 2 2 ( ) 1 ( ) m V I R L C = +- 1 and 2 are called half-power frequencies since P I 2 3 L11_transfer_function 2 2 ( ) 1 ( ) m V I R L C = +- 1 2 2 1 1 ( ) 1 2 ( ) m m V V I R R L C = = +- 2 2 2 2 2 ( ) 1 2 ( ) m m V V I R R L C = = +- 4 L11_transfer_function 1 2 O = 2 1 R B L =- = Quality (Q) factor: Sharpness of resonance Peak Stored Energy 2 Energy dissipated in one period at resonance Q = 2 2 1 2 2 1 2 m O m O L I L Q R I R T = = 1 1 O O Q CR LC = = 5 L12_transfer_function 2...
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This note was uploaded on 12/08/2010 for the course EE ESC102 taught by Professor A.r.harish during the Spring '10 term at IIT Kanpur.

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L12_transfer_function - Frequency Response ESC102 :...

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