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Хг аа в г и Ъ × зи в Ыдги Я а в Шжг зз

Хг аа в г и Ъ × зи в Ыдги Я а в Шжг зз

Хг аа в г и Ъ × зи в Ыдги Я а в Шжг зз

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¾ºÀØÌÖÒ×Ö ´Ö×ØÐÛÓØÖÑÓÝÒÑ×µ¸ÛÖ˙Q×ØØØÖÒ×ÖÖØÒĠ× ½<br />

ØØÒÖØÓÒÖغ<br />

ÌÒÒÒÖÝÓØÐÑÒØÒÜÔÖ××ÒØÖÑ×ÓØÑ××m¸ Ø×ÔØC´ØÒÖÝÖÕÙÖØÓÖ×ØØÑÔÖØÙÖÓ×Ô ´¾½µ<br />

ÕÙÒØØÝÓ×Ù×ØÒÝ×ÔÑÓÙÒصÒØÒÒØÑÔÖØÙÖº<br />

Ġ = I 2 R<br />

ÌØÒÖØÓÒÖØÒÜÔÖ××ÒØÖÑ×ÓØÒÖØÓÒÖØ ÔÖÚÓÐÙÑġº<br />

)´¾¾µ<br />

∆E element = E t+∆t −E t = mC(T t+∆t −T t ) = ̺C2πr∆r∆z(T t+∆t −T<br />

ÛÖġÒÜÔÖ×××<br />

t<br />

´¾¿µ<br />

ÆÓÛÛØÕº´¾¾µÒ´¾¿µÒÕº´¾¼µØÒÖÝÐÒÒÛÖØØÒ<br />

Ġ element = V element<br />

´¾µ<br />

ġ = 2πr∆r∆zġ<br />

ġ = J 2 ρ<br />

ÚÒݾπÖ∆Ö∆ÞÚ×<br />

ġ´¾µ<br />

ÐØØÒ∆Ö¸∆Þ¸∆Ø→¼ ÆÓÛ¸ÝÙ×ÒØÒØÓÒÓÖÚØÚ×ÒÓÙÖÖ³×ÐÛÓØÓÒ¹ ÙØÓÒ¸ØØÖÑ×ÒÕº´¾µÒÜÔÖ××ÒØÖÒØÐÓÖÑÝ<br />

+<br />

´¾µ<br />

´¾µ<br />

ÓÚ<br />

lim<br />

∆r→0<br />

lim<br />

∆z→0<br />

ρC2πr∆r∆z T t+∆t − T t<br />

∆t<br />

ρC T t+∆t − T t<br />

= − 1<br />

∆t 2πr∆z<br />

1<br />

2πr∆z<br />

1<br />

2πr∆r<br />

˙Q r+∆r − ˙Q r<br />

∆r<br />

˙Q z+∆z − ˙Q z<br />

∆z<br />

= ˙Q r − ˙Q r+∆r + ˙Q z − ˙Q z+∆z + 2πr∆r∆zġ´¾µ<br />

˙Q r+∆r − ˙Q r<br />

− 1<br />

∆r 2πr∆r<br />

1<br />

=<br />

2πr∆z<br />

= − 1 r<br />

=<br />

∂ ˙Q r<br />

∂r = 1<br />

2πr∆z<br />

∂<br />

∂r (kr∂T ∂r )<br />

1 ∂ ˙Q z<br />

2πr∆r ∂z = 1<br />

2πr∆r<br />

= − ∂ ∂z (k∂T ∂z )<br />

˙Q z+∆z − ˙Q z<br />

∆z<br />

∂<br />

∂r (−2πr∆z∂T ∂r ) =<br />

∂<br />

∂z (−2πr∆r∂T ∂z ) =

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