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ľήϩξ

  • Ÿ˾񹳡񹳡ˤ¸ߤ񹳤ˤäŸǤ鷺Ű߲ȯ롣
    • Τᡢή礭ʤۤɡŸüŰʤ롣

V=E-rI

ȤƧޤRǾ񤵤Ϥ礭Ÿ񹳤ǤɤΤ褦Ѥ뤫Ĵ٤롣

[ˡ§]ͭǽϤξ
RǾ񤹤ϤˤʤϡrRפȤǤ롣
ơΤȤϤP_{max}=\frac{E^2}{4r}Ǥ롣
ϤͭǽȸƤ֡

[]ϩΤι񹳤R0=r+RǤ롣
äơϩήήIϼΤ褦˷׻Ǥ롣

I
=\frac{E}{R_0}
=\frac{E}{r+R}

äơRǾ񤵤Ϥϼ̤Ǥ롣

P
=RI^2
=R(\frac{E}{r+R})^2(*)

μȤˡRѲȤΥդϼ̤Ǥ롣

(*)RˤĤʬ뤳ȤǡPmaxRͤΤ뤳ȤǤ롣
ȡR=rΤȤˡPϺˤʤäƤ롣

ΤȤϤϼ̤Ǥ롣

P_{max}
=R(\frac{E}{r+R})^2ʢ(*)
=R(\frac{E}{r+r})^2ʢR=r
=r(\frac{E}{2r})^2
=\frac{E^2}{4r}

ήϩξ

[ˡ§]Ϥξ
Ÿԡ󥹤r+jxͿȤˡ³٤Υԡ󥹥gr-jxΤȤˡ٤Ǿ񤵤ϤȤʤ롣
٤Υԡ󥹤򤽤Τ褦˹碌뤳ȤȤȤ
äȤϤȸƤӡͤˤʤ롣
P_m=\frac{|E_0|^2}{4r}

[]βϩήή\dot{I}ϡΤ褦˷׻Ǥ롣

\dot{Z}
=\frac{\dot{E}_0}{\dot{Z}_0~+~\dot{Z}}ʢˡ§
=\frac{\dot{E}_0}{(r+jx)~+~(R+jX)}
=\frac{\dot{E}_0}{(r+R)~+~j(r+R)}

äơ\dot{Z}˶뤵P\dot{Z}Ǿ񤵤ϡˤϡμͿ롣

P
=|\dot{I}|^2~R
=|\frac{\dot{E}_0}{(r+R)~+~j(r+R)}|^2~R
=\frac{|\dot{E}_0|^2~R}{(r+R)^2~+~(r+R)^2}(*)

[1]٤ΥꥢXѿȤƸ

(*)ȤˤʬǤФ褤Τǡx+X=0ΤȤ¨X=-xΤȤPϺȤʤ롣
ΤȤ(*)ϼΤ褦˽񤭴롣

P=\frac{|\dot{E}_0|^2~R}{(r+R)^2}

[2]ˡ٤RѿȤƸ

(*)ȤRˤϡ(*)μʬ̤0ˤʤRФ褤

\frac{dP}{dR}~=~0
\frac{|\dot{E}_0|^2~(r+R)^2~-~|\dot{E}_0|^2~R~\cdot~2(r+R)}{(r+R)^4}~=~0
\frac{|\dot{E}_0|^2~\{(r+R)~-~~2R\}~}{(r+R)^3}~=~0
\frac{|\dot{E}_0|^2~(r-R)~}{(r+R)^3}~=~0
r-R=0
R=r

äơ[1][2]ꡢ\dot{Z}~=~r~-jxΤȤ˺P_m=\frac{|E_0|^2}{4r}

ʸ

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