# lecture21 - 2 2 dt q d L dt di L ind- =- = 19. LC circuits...

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Unformatted text preview: 2 2 dt q d L dt di L ind- =- = 19. LC circuits C q v / = const C Q Li C q U U U B E = = + = + = 2 2 2 2 2 2 L C Conservation of energy: Kirchhoffs loop rule: 2 2 2 2 = + - = = LC q dt q d dt q d L C q v ind C 2 2 2 = + q dt q d LC 1 = Solution: ( 29 ( 29 ( 29 ( 29 + = +- = + = t C Q v t Q i t Q q C cos / sin cos T f 2 2 = = Important: current and potential difference between the capacitors plates are not in phase (shifted by 90 ) 2 2 dt q d L dt di L ind- =- = 20. LRC circuits C q v C / = L C Kirchhoffs loop rule: + = iR v C ind 2 2 2 2 = + + q dt dq dt q d LC 1 = Solution: ( 29 ( 29 [ ] ( 29 ( 29 iR v t e C A C q v t t Ae dt dq i R t C t = + = = + + +- = =-- ' cos / / ' sin ' ' cos / R 2 2 2 2 = + + + =- LC q dt dq L R dt q d dt dq R C q dt q d L L R 2 = ( 29 + =- t Ae q t ' cos 2 2 ' - = 2 2 2 2 = + + q dt dq dt q d Solution of the differential equation:...
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## This note was uploaded on 12/10/2011 for the course PHYSICS 222 taught by Professor Frishman during the Spring '11 term at Iowa Central Community College.

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lecture21 - 2 2 dt q d L dt di L ind- =- = 19. LC circuits...

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