chap8s - ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ‡¨º 1.

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Unformatted text preview: ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ‡¨º 1. ­¤„µ¦…°ŠÂ¤„ŽrÁª¨¨r „‘…°ŠÁ„µ­r­Îµ®¦´­œµ¤Å¢¢jµ ­Î 2. ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ 1 „‘…°ŠÁ„µ­r­Îµ®¦´­œµ¤Â¤nÁ®¨È„ ­Î ­œµ¤Å¢¢jµ ­œµ¤Â¤nÁ®¨È„ • ž¦³„°—oª¥‡¨ºÉœ­œµ¤Å¢¢jµÂ¨³‡¨ºÉœ­œµ¤Â¤nÁ®¨È„š¸É¤¸š·«˜´ÊŠŒµ„„´œ • Áž}œ‡¨ºœ˜µ¤…ªµŠÂ¨³Áž}œ‡¨ºÉœ¦³œµ É • š·«…°Š„µ¦ÂŸn…°Š‡¨ºÉœ®µÅ—o‹µ„š·«…°Š E Q 4SH 0 r 2 Q 4SH 0 r 2 **Q E ˜ dA ³ u 4Sr 2 (1) ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ³ EdA ³ B ˜ dA * * 0 (2) H0 ­¤„µ¦…°ŠÂ¤„ŽrÁª¨¨r 3. ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ­¤„µ¦…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ¡·‹µ¦–µ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµš¸ÉŸnŞĜš·« * E E x, t ˆ j * B ˆ B ( x , t )k „‘…°Š¢µ¦µÁ—¥r I 4. „‘…°ŠÂ°¤Âž¦r-¤„ŽrÁª¨¨r ‡ªµ¤­´¤¡´œ›r¦³®ªnµŠ­œµ¤Å¢¢jµ„´ ­œµ¤Â¤nÁ®¨È„ ץčo„‘…°Š¢µ¦µÁ—¥r ‘…°Š¢µ¦µÁ—¥r ‹µ„„‘…°Š¢µ¦µÁ—¥r ‹µ„„‘…°Š¢µ¦µÁ—¥r ** E ˜ dl ³ d) B V N * * dt V ³ E ˜ dl l R L=R L **  w ³ B ˜ dA (3) wt (4) (5) 2 ­¤„µ¦…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ­¤„µ¦…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ®µ°œ»¡´œ›r¥n°¥…°Š­¤„µ¦š¸É (5) Áš¸¥„´ x ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ®µ°œ»¡´œ›r¥n°¥…°Š­¤„µ¦š¸É (5) Áš¸¥„´ t ®µ°œ»¡´œ›r¥n°¥…°Š­¤„µ¦š¸É (6) Áš¸¥„´ t ‹³Å—o ‹³Å—o wE wx 2 2 2 wB  wxwt 2 (7) 2 w2E wtwx  w2B wt 2 (10) ®µ°œ»¡´œ›r¥n°¥…°Š­¤„µ¦š¸É (6) Áš¸¥„´ x ‹³Å—o ‹µ„ (10) ¨³ (11) 10) 11) ‹µ„ (7) ¨³ (8) 2 wB wtwx  P 0H 0 w E wt 2 2 P 0H 0 w E wt 2 (8) w2B wx 2 2  P 0H 0 w E wxwt (11) ‡ªµ¤­´¤¡´œ›r¦³®ªnµŠ­œµ¤Å¢¢jµ„´­œµ¤Â¤nÁ®¨È„ ‡ªµ¤­´ ץčo„‘…°ŠÂ°¤Âž¦r-¤„ŽrÁª¨¨r ÁœºÉ°Š‹µ„‡¨ºÉœÂŸnœÅžÄœ¦·Áª–š¸ÉŤn¤¸Â®¨nŠ„εÁœ·— ( ) R L=R L ­¤„µ¦…°Š‡¨ºÉœ­œµ¤Å¢¢jµ 2 ¡·‹µ¦–µ­¤„µ¦ w y ‡¨ºÉœœ·ÉŠÄœÁ­oœÁº°„ wx 2 wE wx 2 (9) w 2 B P H w 2 B (12) 00 wx 2 wt 2 ­¤„µ¦…°Š‡¨ºÉœ­œµ¤Â¤nÁ®¨È„ Ÿ¨ÁŒ¨¥ y A sin( kx  Zt ) 1 w2 y 2 v 2 wt (13) (13) ×¥ k 2S v Áž}œ°´˜¦µÁ¦Èª O ,Z kv (6) E ×¥ E p sin(kx  Zt ) B B p sin(kx  Zt ) (14) ­¤„µ¦…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ šœ‡nµ­¤„µ¦ (13) ¨³ (14) ¨ŠÄœ­¤„µ¦ š¸É (5) ‹³Å—o (5) (5) ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ¡¨´ŠŠµœ…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ —´Šœ´Êœ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ (16) w E p sin(kx  Zt ) wx  w B p sin(kx  Zt ) wt °´˜¦µ„µ¦Ÿnµœ¡¨´ŠŠµœ˜n°®œnª¥¡ºÊœš¸ÉŽ¹ÉŠ˜´ÊŠŒµ„„´š·« …°Š„µ¦ÂŸn…°Š‡¨ºÉœ ¢¨´„Žr…°Š¡¨´ŠŠµœ …°Š¡¨´ ®œnª¥ W/m2 Á¤ºÉ°‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµŸnµœ˜´ª„¨µŠ—´Š¦¼ž ‹³™nµ¥Áš¡¨´ŠŠµœÄ®o˜´ª„¨µŠ ‹µ„ —´Šœ´Êœ (17) E p k cos(kx  Zt )  B p ( Z ) cos(kx  Zt ) kE p ‹µ„ ‹µ„ —´Šœ´Êœ —´ ®¦º° ®¦º ZB p cB p ¨³ Ep E cB (15) ‡ªµ¤®œµÂœnœ¡¨´ŠŠµœÁœºÉ°Š‹µ„­œµ¤Å¢¢jµ ‡ªµ¤®œµÂœnœ¡¨´ŠŠµœÁœºÉ°Š‹µ„­œµ¤Â¤nÁ®¨È„ °´˜¦µ„µ¦Ÿnµœ¡¨´ŠŠµœ˜n°®œnª¥¡ºÊœš¸É­µ¤µ¦™„ε®œ— ×¥Áª„Á˜°¦r¡°¥œr˜·Š ¡°¥œr˜· „µ¦­nŠŸnµœ (18) ¡¨´ŠŠµœ°¥¼nĜš·« „µ¦ÂŸn…°Š‡¨ºÉœ ‡ªµ¤Á…o¤ÁŒ¨¸É¥…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ Áª„Á˜°¦r¡°¥œr˜·ŠÁŒ¨¸É¥š¸É˜ÎµÂ®œnŠÄ— Ç Á¦¸¥„ªnµ‡ªµ¤Á…o¤ÁŒ¨¸É¥…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ¡°¥œr˜· ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ™oµ®µ„‡¨ºÉœš´ÊŠ®¤—™¼„—¼—„¨ºœÃ—¥Ÿ·ª…°Š˜´ª„¨µŠ „µ¦Áž¨¸É¥œÂž¨ŠÃ¤Á¤œ˜´¤˜n°®œ¹ÉŠ®œnª¥ž¦·¤µ˜¦ ‹³Á„¸É¥ª…o°Š„´¡¨´ŠŠµœ—´Š­¤„µ¦ äÁ¤œ˜´¤…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ p u c S cu ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ 3 I Sav cH 0 E 2 1T 2 H 0 E p sin 2 ( kx  Zt )dt T ³0 T 1 2 H 0 E p ³ 1  cos 2 ( kx  Zt ) dt 0 2T 1 2 H0E p 2 (19) (19) p 1 S c2 ‡ªµ¤—´œ„µ¦ÂŸn¦´Š­¸ÁŒ¨¸É¥ ‹µ„ ‹µ„ —´Šœ´Êœ —´Šœ´Êœ (20) (21) „µ¦„n°„εÁœ·—‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ „µ¦Á‡¨ºÉ°œš¸É…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµÄœ˜´ª„¨µŠ Ĝ­»µ„µ« Ĝ˜´ª„¨µŠ°ºÉœÇ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ v 1 ×¥ P Á¤ºÉ° H r , P r Áž}œ‡nµ­£µ¡¥°¤Â¨³­£µ¡Ž¹¤Å—o­´¤¡´š›r…°Š˜´ª„¨µŠ ×¥ž„˜·‹³¤¸‡nµ¤µ„„ªnµ 1 Á­¤° °´˜¦µ­nªœ¦³®ªnµŠ c ¨³ v Á¦¸¥„ªnµ—´œ¸®´„Á®…°Š˜´ª„¨µŠ H PH Pr P0 H rH 0 n c v PH P0H 0 n Electric dipole P rH r 4 ž¦µ„’„µ¦–r°žÁ¡¨°¦r…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ …°Š‡¨º ‡¨ºÉœÁ­¸¥Š ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ž¦µ„’„µ¦–r°žÁ¡¨°¦r…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ …°Š‡¨º Qc c ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸ÉÁ…oµ®µŸ¼­´ŠÁ„˜ o O' 1  vs c c c  v s T0 2 2 Oc fc v  vs T v Oc v f v  vs ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸É°°„‹µ„Ÿ¼­ŠÁ„˜ o´ 1  vs c Q 1  vs c 0 1  vs c 1  vs c Q0 1  vs c Q' ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸É°°„‹µ„Ÿ¼­ŠÁ„˜ o´ O cc f cc v  vs T v O cc v f v  vs Oc c  vs T 1  vs c Q 1  vs c 0 O ' c  v s T0 1 v c 2 s 2 ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸ÉÁ…oµ®µŸ¼­´ŠÁ„˜ o O cc Q cc c  vs T Á¤ºÉ° T0 Áž}œÁª¨µš¸Éª´—ÄœÁ¢¦¤š¸É„ε¨´ŠÁ‡¨ºÉ°œš¸É 1  vs c Q 1  vs c 0 ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ž¦µ„’„µ¦–r°žÁ¡¨°¦r…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ …°Š‡¨º ™oµ®µ„ ‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ ­Áž„˜¦´¤…°Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ vs  c 1 v ~1 c 2 s 2 ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸ÉÁ…oµ®µŸ¼­´ŠÁ„˜ o O cc Q cc c O cc c  vs T c Q0 c  vs ®¨nŠ„εÁœ·—Á‡¨ºÉ°œš¸É°°„‹µ„Ÿ¼­ŠÁ„˜ o´ c c  vs T0 Oc c  vs T ~ c  vs T0 Qc c Q' ĜµŠ‡¦´Š‡¨ºÉœÂ¤nÁ®¨È„Å¢¢jµ‹³ž¦³¡§˜·˜´ªÁž}œ Ê °œ»£µ‡š¸ÉÁ¦¸¥„ªnµÃ¢˜°œ ×¥¡¨´ŠŠµœ…°ŠÂ˜n¨³ Á¦¸ ☰œ ☰œ‹³…¹Êœ„´‡ªµ¤™¸É ˜µ¤‡ªµ¤­´¤¡´œ›r…°Š ☰œ‹³…¹ ¡¨´Š‡r-Å°œr­Å˜œr Á¤ºÉ° T0 Áž}œÁª¨µš¸Éª´—ÄœÁ¢¦¤š¸É„ε¨´ŠÁ‡¨ºÉ°œš¸É O' c c  vs T0 Q' c Q0 c  vs ...
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