seira askhsewn 6 - 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: EKTH SEIRA ASKHSEWN 49. (a) Na deÐxete ìti ston kenì q¸ro h enèrgeia magnhtikoÔ pedÐou pou ofeÐletai sthn puknì- thta reÔmatoc ~ J ( ~x ) dÐnetai apì th sqèsh: W = 1 2 c 2 Z d 3 x Z d 3 x 0 ~ J ( ~x ) · ~ J ( ~x 0 ) | ~x - ~x 0 | . (b) An to reÔma apoteleÐtai apì epÐ mèrouc kukl¸mata me reÔmata I 1 ,I 2 ,...,I n , na deÐxete ìti h enèrgeia mporeÐ na ekfrasteÐ me th morf : W = 1 2 n X i =1 L i I 2 i + X i = 1 n n X j =1 M ij I i I j . D¸ste tic ekfrˆseic gia touc suntelestèc autepagwg c L i kai amoibaÐac epagwg c M ij . 50. Mia gramm  metaforˆc apoteleÐtai apì dÔo sÔrmata aktÐnwn a kai b pou apèqoun apìstash d > a + b. ReÔma omoiìmorfa katanemhmèno stic diatomèc rèei se kˆpoia kateÔjunsh sto èna sÔrma kai epistrèfei mèsw tou ˆllou. Na apodeiqjeÐ ìti h autepagwg  anˆ monˆda m kouc eÐnai: c 2 L = 1 + 2ln
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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 6 - PMS “FUSIKH KAI TEQNOLOGIKES...

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