seira askhsewn 4 - PMS “FUSIKH KAI TEQNOLOGIKES...

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PMS FUSIKH KAI TEQNOLOGIKES EFARMOGES TOMEAS FUSIKHS SEMFE EMP - SQOLH MHQANOLOGWN MHQANIKWN EMP - EKEFE DHMOKRITOS HLEKTROMAGNHTISMOS I: TETARTH SEIRA ASKHSEWN 30. Sfairik  epifˆneia aktÐnac R èqei fortÐo Q omoiìmorfa katanemhmèno me epifaneiak  puknìthta fortÐou σ = Q 4 πR 2 pantoÔ, ektìc apì th sfairik  perioq  perÐ ton bìreio pìlo, pou orÐzetai apì thn exÐswsh θ α. (a) DeÐxte ìti to dunamikì sto eswterikì thc epifˆneiac dÐnetai apì thn èkfrash: Φ = Q 2 X l =0 1 2 l + 1 [ P l +1 (cos α ) - P l - 1 (cos α )] r l R l +1 P l (cos θ ) , me th sÔmbash: P - 1 (cos α ) = - 1 . (b) Na brejeÐ kai to dunamikì sto exwterikì thc epifˆneiac. (g) Na upologisteÐ to hlektrikì pedÐo sthn arq  twn axìnwn. (d) Poiec eÐnai oi oriakèc morfèc tou dunamikoÔ sto eswterikì kai tou hlektrikoÔ pedÐou sthn arq  twn axìnwn stic peript¸seic (1) α = ², (2) α = π - ², ìpou to ² eÐnai polÔ mikrì. 31. Leptìc ag¸gimoc dÐskoc akrÐnac R brÐsketai sto epÐpedo x - y me to kèntro tou sthn arq  twn axìnwn kai èqei dunamikì V 0 . Jewr ste wc epÐ plèon dedomèno ìti h puknìthta fortÐou eÐnai anˆlogh thc parˆstashc 1 R 2 - ρ 2 , ρ 2 = x 2 + y 2 . (a) DeÐxte ìti gia
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This note was uploaded on 10/02/2009 for the course G 001 taught by Professor Shmmygr during the Spring '07 term at National Technical University of Athens, Athens.

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seira askhsewn 4 - PMS “FUSIKH KAI TEQNOLOGIKES...

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