✚ศࡢヰ㸹 㢟㸯S 㟁Ⲵࡀ↓㝈㛗࠸┤⥺ୖ⥺ᐦᗘ༢㛗 㸦㸯㸧✚ศ㸸㛵ᩘ I[ ࡉᙜࡓࡾࡢ㟁Ⲵ㔞Ȣ[C/m]୍࡛ᵝศᕸࡋ࡚࠸ࡿ㸬ࡑࡢ ࿘ᅖ⏕ࡌࡿ㟁ሙࢆồࡵࡼ㸬 ⥺⣲∦ dx f(x)ࡢ✚ࡢᐤࡏ㞟ࡵ 㹼ࠕ㠃✚ࠖࡣ㝈ࡽ࡞࠸ 㸦ゎ㸧 ཎⅬᑐ⛠࡞ ࢝ᡤࡢᚤᑠ㟁Ⲵࡽࡢᐤࡢᖹ⾜ᡂศࡣ ࢟ࣕࣥࢭࣝࡍࡿ㸬ࡋࡓࡀࡗ࡚㸪ྛᚤᑡ㟁Ⲵࡽࡢᐤࡢ࠺ ࡕ㸪ᆶ┤ᡂศ'Eԋࡔࡅࢆ⪃࠼ࢀࡤࡼ࠸㸬 㸦ࠕ㏿ᗘ YV 㛫ࠖ Ѝ ㊥㞳㸧 'z 㸦㸰㸧㔜✚ศ㸸㛵ᩘ I[\ ᅗࡽ f([i, Kj) Ǽz э ↓㝈ᑠࡢᴟ㝈࡛㸪㟁ሙ E ࡢࡁࡉࡣ㸪 Kj [i 'yj 'xi S 㟁ሙࡢྥࡁࡣ㸪┤⥺ࡢ࿘ࡾᨺᑕ≧ 'xi 'yj 㸦ཧ⪃㸧 S = f (r )dS R/r 㸻sinȟ㸪 㠃✚⣲∦ dS f (x, y) ࡢ✚ࡢᐤࡏ㞟ࡵ R/|-z|㸻tanȟ㸻sinȟ/cosȟ Ѝ -z 㸻R (cosȟ/sinȟ) dz /dT㸻-R㸦(-sin2ȟ- cos2ȟ)/ sin2ȟ㸧㸻R / sin2ȟ ҚGz㸻(R / sin2ȟ)dT 㹼 㠃✚ศ Ѝ㺀య✚㺁ࡣ㝈ࡽ࡞࠸ y ၥ㢟 ᖜ㹕ࡢ㹓Ꮠ⁁ᐃᖖὶࡢỈࡀὶࢀ࡚࠸ࡿ㸬Ỉ㠃ࡢ㧗 v0 W ࡉࢆ㹆ࡍࡿ㸬Ỉࡢὶࢀࡢ㏿ࡉࡣ㸪ᖜ᪉ྥࡣ୍ᵝ࡛㧗ࡉ ẚࡋ࡚㸪Ỉ㠃࡛ࡣ㹴㸪Ỉᗏ࡛ࡣ㸮ࡍࡿ㸬ࡇࡢࡁ㸪 x H ࠶ࡿ᩿㠃ࢆ༢㛫㏻㐣ࡍࡿỈࡢయ✚㹔ࢆồࡵࡼ㸬 v O (ゎ⟅) ᅗࡢᵝ x-y ㍈ࢆࡿ㸪ồࡵࡿయ✚ࡣ S =W H ࢆᗏ㠃ࡍࡿ㸪㡬Ⅼࡢ㧗ࡉ v0 ࡢ୕ゅ❧యࡢయ✚࡛࠶ ࡿ㸬 y v0 W x H v O ⦎⩦ၥ㢟 ᖜ W㸪㧗ࡉ㹆ࡢࢲ࣒࡛ࡏࡁṆࡵࡽࢀࡓ㸪Ỉ㠃 㸦㸱㸧୕㔜✚ศ㸸㛵ᩘ I[\] ࡀᅗࡢᵝ࡞ࢲ࣒†ࡢỈࡢయ✚ࢆồࡵࡼ㸬Ỉ㠃ࡢᙧ≧ࡣᨺ≀ ⥺ࡍࡿ㸬 㹋㸻 V Ỉ㠃 㹊0 W H 㸦ࣄࣥࢺ㸧࠼ࡤ㸪ᅗࡢᵝx – y ㍈ࢆࡾ†ᗏ㠃ࡢ᭤㠃 K[\ࢆồࡵ㸪ᖜ㹕㸪㧗ࡉ㹆ࡢx – y 㠃ᑐࡋ࡚㠃✚ศ ࢆ⾜࠺㸬 y H O W x 㸻I(r )GV య✚⣲∦ dV I[\]ࡢ✚ࡢᐤࡏ㞟ࡵ 㹼 య✚✚ศ 㸦㸧ࡢἾࡢ⥲㉁㔞 ἾࡀᐦᗘȨ㼤㻘㻌 㼥㻘㻌 㼦>NJP@࡛ΰࡌࡗ࡚࠸ࡿࡢἾࡢ ⥲㉁㔞㹋NJ 㸦ᐦᗘศᕸ㸸Ȩ(r ) 㹼 ࢫ࣮࢝ࣛሙࡢ㸧 㸦㸲㸧࣋ࢡࢺࣝሙࡢ㠃✚ศ ճ ୍⯡ࡢሙྜ 㹼᭤㠃ୖᐃ⩏ࡉࢀࡓ࣋ࢡࢺࣝሙ ࣋ࢡࢺࣝሙ㸸㸿U᭤㠃㸸㹑ࡀᐃ⩏ࡉࢀ࡚࠸ࡿࡁ dS ㏿ᗘሙࡢ㠃✚ศ ㏿ᗘሙ㹴rࡀ࠶ࡿ㸪༢㛫᩿㠃㹑ࢆ㏻㐣ࡍࡿయ✚ ձ ὶࢀࡀ୍ᵝ㸪᩿㠃ࡀᖹ㠃࡛ࡑࡢὶࢀᆶ┤࡞ሙྜ ༢ἲ⥺࣋ࢡࢺࣝ㸸㹬U ᚤᑠ㠃✚㸸d㹑 ༢㛫࠶ࡿ᭤㠃㹑ࢆ㏻㐣ࡍࡿయ✚ 㹔㸻 㹔㸻㹴㹑 㸦㹴㸻_㹴_㸧 ղ ὶࢀࡀ୍ᵝ࡛᩿㠃ࡀഴ࠸࡚࠸ࡿሙྜ 㹔㸻㹴㺃㹑’FRVȟ㸻㹴FRVȟ㺃㹑’㸻㹴ԋ㺃㹑’㸻v࣭n㹑’ ࡓࡔࡋ㸪 㹬㸸༢ἲ⥺࣋ࢡࢺࣝ 㹴(r )࣭n (r )d㹑㸻 㹴n(r )d㹑 nr㸸᭤㠃㹑ୖࡢὶࢀࡢྥࡁࡢ༢ἲ⥺࣋ࢡࢺࣝ
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