ᱠⴕᤨߩੱᏪ㔚㔚ᄌൻߦ㑐ߔࠆ╬ଔ࿁〝⊛ᬌ⸛
⪤ ᧄ ᤘ*
,1㧘᧻
ḩ**㧘 㦮 ᙗ 㓶***
㧔2005 ᐕ 5 6 ᣣฃઃ; 2005 ᐕ 8 30 ᣣฃℂ㧕
A Study on the Variance of Electrostatic Potential of a Walking
Human Body with an Equivalent Circuit
Yasuaki HAGIMOTO*
,1, Mitsuru MATSUI** and Norio MURASAKI***
(Received May 6, 2005; Accepted August 30, 2005)
A series of experiments using different types of footwear showed that an electrostatic potential of a human body
sometimes changes polarity during walking and after stopping. Another measurement of the voltage decay of a
stationary human body showed that the decay curve differs in accordance with the polarity of the initial voltage. An
equivalent circuit was developed on the basis of these experimental results. Numerical calculations of the human body
voltage were performed for various values of the resistors in the circuit. The calculation results showed good
agreement with features observed in actual experimental results. These results are discussed with reference to each
other.
1. ߪߓߦ ᱠⴕᤨߦ↢ߓࠆੱߩ㕒㔚᳇Ꮺ㔚ߪ㧘Ἣἴ⊒ߩේ࿃ ߣߥࠆߛߌߢߥߊ㧘㔚ሶ࠺ࡃࠗࠬߩ ESD ኻ╷ߦ߅ߡ߽㊀ᄢ ߥ㗴ߢࠆ㧚ੱߩᏪ㔚ߪ㧘ጁ‛㧘ᐥߥߤߩ᭽ޘߥⅣႺ᧦ ઙߦࠃߞߡᓇ㗀ߐࠇࠆߚ1㧕㧘․⇣ߥ⽎߇ߺࠄࠇࠆߎߣ߇ ࠆ㧚߃߫㧘ࠞࡍ࠶࠻ߩᱠⴕਛ߿ᱠⴕᱛᓟߦੱ㔚 ߩ╓ภ߇ᄌࠊࠆߣ߁⽎߇⍮ࠄࠇߡࠆ2-5㧕㧚ߣߎࠈ߇㧘 ੱߩᏪ㔚ߦ߅ߌࠆᐥ߿ጁ‛ߩᓇ㗀ߦߟߡᬌ⸛ߒߚ⎇ⓥ ႎ๔ߪᄙ߇6-9)㧘ੱ㔚ߩ╓ว߇ᄌࠊࠆ⽎ߦߟߡߩ╬ ଔ࿁〝⊛ߥᬌ⸛ߪⴕࠊࠇߡߥ㧚 ᧄ⎇ⓥߢߪታ㛎ቶߩᐥࠍᱠⴕߔࠆታ㛎ߦ߅ߡ㧘ᱠⴕਛ ࠆߪᱠⴕᱛᓟߩੱ㔚ߩᄌൻㆊ⒟ߢ㔚ߩ╓ภ߇ᄌ ࠊࠆ⽎߇ࠄࠇߚ㧚ߘߎߢ㧘ጁ‛ߩ⒳㘃ࠍᄌ߃ߚᱠⴕታ 㛎ࠍⴕ㧘ੱ㔚ߩᄌൻߦߤߩࠃ߁ߥ㆑߇↢ߓࠆ߆⺞ߴ ࠆߣߣ߽ߦ㧘Ꮺ㔚㔚ߩ╓ภ߇ᄌࠊࠆේ࿃ߦߟߡᬌ⸛ߒߚ㧚 ߐࠄߦ㧘ߎߩ⚿ᨐߦၮߠߡᱠⴕᤨߩੱࠍࡕ࠺࡞ൻߒߚ࿁ 〝ࠍᚑߒ㧘⸘▚ߦࠃࠆࠪࡒࡘ࡚ࠪࡦࠍⴕߞߚ㧚ߘߩ⚿ ᨐ㧘⸘▚ߢ߽Ꮺ㔚㔚ߩ╓ภ߇ᄌࠊࠆߎߣࠍ␜ߒߚ㧚߹ߚ ࿁〝ቯᢙࠍᄌ߃ߚ႐วߦߟߡ㧘Ꮺ㔚ࡕ࠺࡞ߦࠃࠆ⸘▚⚿ᨐ ߣታ㛎࠺࠲ߣߩᲧセࠍⴕߞߚ㧚 2. ᱠⴕᏪ㔚ߩታ㛎 2.1 ታ㛎ᣇᴺ ᱠⴕਛ߅ࠃ߮ᱠⴕᱛᓟߩੱ㔚ߩ᷹ቯߪ㧘ࠬ࠻ࡠ࡞ ᴺߦḰߓߡⴕߞߚ10㧕㧚᷹ቯེߪ㧘࿑ 1 ߦ␜ߔ᧼㔚ᭂߦኻะ ߐߖߚ࿁ォࠢ࠲ᒻ㔚⇇⸘ߢࠆ㧚ߎࠇߣኻะߐߖߚ᧼㔚 ᭂߦ࠼✢ࠍធ⛯ߒ㧘ⵍ㛎⠪߇ߘߩ┵ࠍ⚛ᚻߢីߞߚ㧚ߎ ߩ᷹ቯ♽ߩ㕒㔚ኈ㊂ߪ⚂ 30pF ߢࠆ㧚 ࠠࡢ࠼㧦ੱᏪ㔚㧘ᱠⴕᏪ㔚㧘╬ଔ࿁〝 * ⑼ቇ⼊ኤ⎇ⓥᚲ㧔277-0882 ජ⪲⋵ᨰᏒᨰߩ⪲ 6-3-1㧕 National Research Institute of Police Science, 6-3-1 Kashiwanoha, Kashiwa 277-0882, Japan** Zao ES Lab.㧔989-0916 ችၔ⋵⬿₺↸㆙ಿ↰᷷ᴰࡁේ 3-320㧕
Zao Electrostatic System Laboratory, 3-320 Uenohara, Togattaonsen, Zaomachi, Miyagi 989-0916, Japan
***᧲੩ㄘᎿᄢቇฬᢎ㧔187-0045 ᧲੩ㇺዊᐔᏒቇ↸ 2-25-7㧕
Emeritus Prof., Tokyo University of Agriculture and Technology, 2-25-7 Gakuen-nishimachi, Kodaira Tokyo 187-0045, Japan
࿑ 1 ᷹ቯⵝ⟎
ታ㛎ߪ,ቶ᷷⚂ 24͠㧘Ḩᐲ 35㨪40㧑ߩቶౝߢⴕߞߚ㧚ᱠⴕ ߒߚ႐ᚲߪ㧘ታ㛎ቶౝߩᐥ㧔Ⴎൻࡆ࠾࡞♽ࠪ࠻㧕ߢࠆ㧚 ᱠⴕ▸࿐ߪ⚂ 1.5㨙3m ⒟ᐲ㧘ᱠⴕ⚻〝ߪ 8 ߩሼᒻߢࠆ㧚 ᱠⴕ▸࿐ߦ㒢⇇߇ࠆ߇㧘᧪ࠆ㒢ࠅᣂߒᐥ㕙ࠍᱠⴕߒߚ㧚 ታ㛎ߦ↪ߒߚጁ‛ߪ㧘 1 ߦ␜ߔ 14 ⒳㘃ߢࠅ㧘ߕ ࠇ߽ᣂຠߦㄭ⁁ᘒߢࠆ㧚ታ㛎ᤨߣหߓ᷷Ḩᐲߩቶౝߦ 1 ㅳ㑆એ⟎ߒߡ߆ࠄታ㛎ߦ↪ߒߚ㧚⌕ߪ㧘✎߹ߚߪ ✎ࡐࠛࠬ࠹࡞ᷙ⚜ߩ㘃ߢࠆ㧚ⵍ㛎⠪ߪり㐳⚂ 170cm㧘 ㊀⚂ 60kg ߩ↵ᕈߢࠆ㧚 1 ߦ␜ߔ㕒㔚ኈ㊂ߦߪ㧘᷹ቯ ♽ߩ㕒㔚ኈ㊂߇߹ࠇߡࠆ㧚ᐥߣጁ‛ߪ㧘1 ࿁ߩ᷹ቯ߇⚳ ੌߔࠆߏߣߦ⁁ߩ㔚ශടᑼ㒰㔚ེߢ㒰㔚ߒ㧘ߐࠄߦࠕ࡞ ࠦ࡞ࠍᨴߺㄟ߹ߖߚ✎Ꮣߢ㕙ࠍߞߚ㧚 1 ታ㛎ߦ↪ߒߚጁ‛ Table 1 Footwear used for experiments.
No. ጁ ‛ 㕒㔚ኈ㊂ ާpFި 1 ‐⊹㕟⚩჻㕦㧔⊹ᐩ㧕 200 2 วᚑ⊹㕟⚩჻㕦㧔⎬⾰ࠧࡓᐩ㧕 200 3 ‐⊹㕟⚩჻㕦㧔エ⾰ࠧࡓᐩ㧕 160 4 ㆇേ㕦㧔⦡ࠧࡓᐩ㧕 180 5 ࠧࡓ㐳㕦 200 6 ࠬ࠶ࡄ㧔⊒ᵃ EVA ᐩ㧕 170 7 ࠬ࠶ࡄ㧔Ⴎൻࡆ࠾࡞ࠩ⾍ࠅᐩ㧕 170 8 ࠨࡦ࠳࡞㧔⊒ᵃႮൻࡆ࠾࡞৻ဳ㧕 180 9 ࠨࡦ࠳࡞㧔⊒ᵃวᚑࠧࡓᐩ㧕 130 10 ࡆ࠴ࠨࡦ࠳࡞㧔⊒ᵃ EVA ৻ဳ㧕 130 11 㘑ํ႐↪ࡉ࠷㧔ᧄߪ EVA,ᐩߪห⊒ᵃ㧕 150 12 㘑ํ႐↪ࡉ࡞ߩߦߐࠄߦ No. 6 ࠍጁߊ 140 13 㘑ํ႐↪ࡉ࠷ߩᐩ᧚ࠍขࠅ㒰ߊ 220 14 㘑ํ႐↪ࡉ࠷ߩᐩߦ No. 6 ߩᐩ᧚ࠍ⾍ࠆ 170 㧔ᵈ㧕EVA㧦ࠛ࠴ࡦ ㈶㉄ࡆ࠾࡞㊀ว᮸⢽ 2.2 ᱠⴕᤨ߅ࠃ߮ᱠⴕᱛᓟߩੱ㔚ᄌൻ ᱠⴕߦ߁ੱ㔚ߩ᷹ቯ⚿ᨐࠍ࿑ 2(a)㨪(n)ߦ␜ߔ㧚࿑ 2 ਛߦߪ㧘ᱠⴕᱛᓟߩ✭ᦛ✢߆ࠄ✭ᤨ㑆ߩ⇛୯ࠍ⺒ߺ ขࠅ㧘ߎࠇࠍ 1 ߩ㕒㔚ኈ㊂ߢഀߞߡ᳞ߚᛶ᛫୯ R ࠍ૬⸥ ߒߚ㧚 ࿑ 2 ߩੱ㔚ߩᄌൻߪ㧘ᄢ߈ߊ 3 ߟߦಽߌࠄࠇࠆ㧚╙ 1 ߪ㧘ᱠⴕਛߦੱ㔚߇ߒ㧘ᱛᓟߪᷫߔࠆㅢᏱߩᄌ ൻߢࠆ㧚╙ 2 ߪ㧘ᱠⴕᱛᓟߦੱ㔚ߩ╓ภ߇ᄌࠊࠆ࿑ 2(d)㧘(f)߅ࠃ߮(n)ߩࠃ߁ߥᄌൻߢࠆ㧚╙ 3 ߪ㧘ᱠⴕਛߩੱ 㔚߇ 0V ઃㄭߢផ⒖ߒ㧘ᱠⴕᱛᓟߦ⛘ኻ୯߇ᄢ߈ߊߥ ࠆ࿑ 2(i)߅ࠃ߮(k)ߩࠃ߁ߥᄌൻߢࠆ㧚 ᱠⴕᱛᓟߦੱ㔚ߩ╓ภ߇ᄌࠊߞߚ╙ 2 ߩ႐วߪ㧘࿑ 3(b)㧘(c)ߩࠃ߁ߦA ߣ B ߩ 2 ߟᦛ✢ߢࠊߐࠇࠆᄌൻ߇㊀⇥ ߒߚ⚿ᨐ߇ੱ㔚ߩᦛ✢C ߦ⋧ᒰߒߡࠆߩߢߪߥ߆ ߣ⠨߃ࠄࠇߚ㧚ᱠⴕਛߩੱ㔚߇Ⴧᄢߒߥ╙ 3 ߩ႐ว߽㧘 ห᭽ߩ⠨߃ᣇߢ⺑ߔࠆߎߣ߇ߢ߈ࠆ㧚
࿑ 2 ߩጁ‛ No.11 ߣ No.6 ࠍ㊀ߨวࠊߖߚጁ‛ No.12 ߿ No.14㧘ࠆߪጁ‛ No.11 ߩᐩ᧚ࠍขࠅ㒰ߚጁ‛ No.13 ߩੱ㔚ᄌൻࠍߺࠆߣ㧘ߘࠇߙࠇࠝࠫ࠽࡞ߩጁ‛ߩ․ᓽ (a)ጁ‛ ͳ1 R=0.51010ǡ (b)ጁ‛ ͳ2 R=1.01010ǡ (c)ጁ‛ ͳ3 R=1.61010 ǡ (d)ጁ‛ ͳ4 R=2.51010ǡ (e)ጁ‛ ͳ5 R=0.51010 ǡ (f)ጁ‛ ͳ6 R=1.51010 ǡ (g)ጁ‛ ͳ7 R=0.51010ǡ (h)ጁ‛ ͳ8 R=1.31010ǡ (i)ጁ‛ ͳ9 R=0.81010 ǡ (j)ጁ‛ ͳ10 R=2.21011 ǡ (k)ጁ‛ ͳ11 R=1.51011 ǡ (l)ጁ‛ ͳ12 R=1.71011ǡ (m)ጁ‛ ͳ13 R=0.51011ǡ (n)ጁ‛ ͳ14 R=1.21010ǡ ࿑ 2 ᱠⴕਛ߅ࠃ߮ᱠⴕᱛᓟߩੱᏪ㔚㔚ߩᄌൻ Fig. 2 Human body voltage curves during walking and after
stopping. A C B 0 v t v A C B 0 t A C B 0 v t A+BݿC (a) (b) (c) ࿑ 3 㔚ᷫࡄ࠲ࡦߩ㊀⇥
3 ߇ࠊࠇߡࠆߎߣ߇ࠊ߆ࠆ㧚ߎߩߎߣ߆ࠄ߽㧘ੱߩᏪ㔚 㔚ߪⶄᢙߩ㔚ᄌൻ߇㊀⇥ߐࠇߚ߽ߩߢࠆߣផቯߐࠇ ࠆ㧚 ࿑ 4 ߪ㧘ᱠⴕߣᱛࠍ➅ࠅߒߚߣ߈ߩੱ㔚ߩ᷹ቯ ߢࠆ㧚ߎߩߣ߈ߩጁ‛ߪ No.6 ߢࠅ㧘ታ㛎ቶᐥߩߦᢝ ߚෘߐ⚂ 1mm ߩࡐࡊࡠࡇࡦࠪ࠻ࠍᱠⴕߒߚ㧚࿑ ਛߩ⍫ශA ߢ␜ߔࠃ߁ߦ㧘ᱠⴕᱛᓟߦੱ㔚߇ᱜ߆ࠄ⽶ ߦᄌൻߔࠆ᭽ሶ߇ߺࠄࠇߚ㧚ᱠⴕߣᱛࠍ➅ࠅߔߚ߮ߦ㧘 ᱠⴕᱛᓟߩੱ㔚߇⽶ᣇะ߳ߕࠇߡߊࠃ߁ߦߺ߃ࠆ㧚 ߹ߚ㧘ᱠⴕਛߦੱࠍ৻⍍ࠕࠬߒߚߣ߈㧘ੱ㔚߇ 0V ߦߥߞߡߥߎߣ߇ࠊ߆ࠆ㧚ߎࠇࠄߩᄌൻࠍ⺑ߔࠆߚ ߦߪ㧘ጁ‛߿ᐥߩᓇ㗀ࠍߚ╬ଔ࿁〝⊛ᬌ⸛߇ᔅⷐߢࠆ ߣ⠨߃ࠄࠇߚ㧚 2.3 ᒝᏪ㔚ߐߖߚ㕒ᱛਛߩੱ㔚ᄌൻ ࿑ 5 ߪ㧘ᒝ⊛ߦᏪ㔚ߐߖߚੱ㔚ߩᷫ․ᕈߢࠆ㧚 ጁ‛ No.9 ߦࠃࠆᱠⴕ⚳ੌ⋥ᓟߦ㧘ᐥߩ㒰㔚ࠍⴕࠊߥ߹߹ ߩ⁁ᘒߢ⋥ᵹ㔚Ḯߦ৻⍍⸅ࠇߡੱࠍᒝ⊛ߦᱜ߹ߚߪ⽶ ߦᏪ㔚ߐߖ㧘ߘߩᓟߩ㕒ᱛ⁁ᘒߦ߅ߌࠆੱߩ㔚ᄌൻࠍ᷹ ቯߒߚ߽ߩߢࠆ㧚ߘߩ⚿ᨐ㧘࿑ 5 ߦ␜ߔࠃ߁ߦ㧘ᱜߩ႐ว ߣ⽶ߩ႐วߣߢ㔚ᄌൻߦ㆑߇ߺࠄࠇ㧘⽶ߩ႐วߦߪ⛘ኻ ୯߇ᤨ㑆ߣߦჇᄢߒߚ㧚 ߎߩࠃ߁ߥ㔚ᄌൻߪ㧘Rxߣ Cxࠍട߃ߚ࿑ 6 ߩ࿁〝ࡕ࠺ ࡞ߦࠃߞߡ⺑ߢ߈ࠆ㧚ߔߥࠊߜ㧘ᐥ߹ߚߪጁ‛ߩᱷ⇐㔚⩄ ߇ੱ㔚ߦᓇ㗀ߒߡࠆߣ⠨߃ࠄࠇࠆ㧚ߘߎߢ㧘ߎߩࡕ࠺ ࡞ߦ࿑ 5 ߩ᷹ቯ⚿ᨐࠍᒰߡߪ㧘࿁〝ቯᢙ╬ࠍ᳞ࠆߣᰴߩ ࠃ߁ߦߥࠆ㧚 ࿑ 5 ߩੱ㔚ߪߨ৻ቯ୯ߩ㔚ߦẋㄭߒߡࠆߩߢ㧘 ੱ߆ࠄߩ㔚⩄ṳᵨ R0߇චಽᄢ߈ߊήⷞߢ߈ࠆߣቯߒߚ㧚 t=0 ߩߣ߈ߩ v0ߣvxߩೋᦼ୯ࠍߘࠇߙࠇV0㧘Vxߣߔࠆߣ㧘ੱ 㔚v0ߪᰴᑼߢࠊߐࠇࠆ㧚 (1) ߎߎߢ㧘 (2) (3) ߎߎߢ㧘t ψ пߣߒߚߣ߈ߩ v0ߩ᧤୯ࠍVпߣߒ㧘ੱ 㔚߇ᱜߩ႐วߣ⽶ߩ႐วࠍߘࠇߙࠇᷝሼ p ߣ m ߢࠊߒߚ ᑼ(1)ߩㅪ┙ᣇ⒟ᑼࠍVxߣǩߦߟߡ⸃ߊߣ㧘 (4) (5) ߣߥࠆ㧚ᑼߦ࿑ 5 ߆ࠄ⺒ߺขߞߚ୯ࠍઍߔࠇ߫㧘Vxߣ ǩ߇᳞߹ࠆ㧚ߘߩ⚿ᨐࠍ 2 ߦ␜ߔ㧚 ߎߎߢ㧘ߐࠄߦ C0߇ਈ߃ࠄࠇࠇ߫ Cxߣ Rxࠍ᳞ࠆߎߣ߇ ߢ߈ࠆ㧚ᢧ⮮ߪ㧘⿷ߣᐥߩ㑆ߦࠎߛ⛘✼‛ߩෘߺࠍᄌ߃ߡ 2 ࿑ 5 ߦᑼ(4)㧘(5)ࠍᒰߡߪߡᓧࠄࠇߚ୯
Table 2 Variables in Equations (4) and (5) derived from Fig. 5.
V0p(V) Vп㨜(V) Ǽp(s) V0m(V) Vпm(V) Ǽm(s) Vx(V) ǩ 780 370 18 -675 -820 7.0 -1500 0.82 ) 1 )( ( ) ( 0 x 0 0 D W t e V V V t v 0m 0p m p m 0m p 0p p 0m m 0p x 1 V V V V V V V V V V V V V f f f f f f D x 0 0 x x R ĮC IJ C C C Į ࿑ 5 ⋥ᵹ㔚Ḯߢల㔚ᓟ㧘㕒ᱛ⁁ᘒߩੱ㔚 A㧦ᱜ㔚ߢల㔚ߒߚ႐ว B㧦⽶㔚ߢల㔚ߒߚ႐ว Fig. 5 Voltage decay curves of a human body initially charged
with a DC voltage with footwear No.9. A: Charged with a positive voltage. B: Charged with a negative voltage.
Human body Cx Rx C0 R0 Cx Rx C 0 R0 v0 vx ࿑ 6 ࿑ 5 ߩ㔚ᄌൻ߆ࠄផቯߐࠇࠆੱߩ╬ଔ࿁〝 Fig. 6 Equivalent circuit of a charged human body
anticipated from the voltage decay curves in Fig. 5.
࿑ 4 ᱠⴕᱛࠍ➅ࠅߒߚߣ߈ߩੱ㔚㧔ጁ‛ No.6㧕 Fig. 4 Human body voltage during repeated walking and
stopping with footwear No.6. A
0 v0 v0 v2 v1 v0 v2 v1 v1 v2=0
(a) During a walk. (|v1|<|v0|) (b) During a walk. (|v1|>|v0|) (c) After stopping walking in (b). v1: v1L or v1R v2: v2L or v2R ࿑ 8 ᱠⴕᱛᓟߦ⽶㔚߇ࠊࠇࠆᯏ᭴ߩ⺑࿑ Fig. 8 Conceptual diagram representing the appearance of
negative voltage after stopping. 㕒㔚ኈ㊂ࠍ᷹ቯߒ㧘ጁ‛ߣᐥߩᓇ㗀ࠍ㒰ߚੱߩ㕒㔚ኈ㊂ ߇⚂ 62pF ߢࠆߣߒߡࠆ3)㧚ዊ㊁ࠄ߽⿷ⵣ㧘⢵㧘⣨ߩ㕒 㔚ኈ㊂ࠍಽഀߒߡ᷹ቯߒ㧘ߎࠇߦㄭ⚿ᨐࠍᓧߡࠆ11)㧚ߘ ߎߢ㧘ᢧ⮮ߩ୯ߦ᷹ቯ♽ߩ㕒㔚ኈ㊂⚂ 30pF ࠍട߃ߚ 92pF ࠍ C0ߣߔࠆߣ Cxߪ 420pF ߣߥࠅ㧘ǼpߣǼmߦኻߔࠆ Rxߪߘࠇ ߙࠇ㧘2.41011ǡ߅ࠃ߮ 9.31010ǡߣߒߡ᳞ࠄࠇࠆ㧚 ࿑ 4 ߩᱠⴕᱛࠍ➅ࠅߒߚߣ߈ߦߺࠄࠇߚ⽶ᣇะ߳ߩߕ ࠇ߽㧘࿑ 6 ߩ╬ଔ࿁〝ߦࠃߞߡ⺑ߢ߈ࠆ㧚ߔߥࠊߜ㧘ᱠⴕ ਛߦ Cx߇⽶ߦల㔚ߐࠇ㧘ᱠⴕᱛࠍ➅ࠅߔߏߣߦvxߩ⽶ 㔚߇ᄢ߈ߊߥࠅ㧘ᦨ⚳⊛ߦ࿑ਛߩ⍫ශA ߦ␜ߔࠃ߁ߦੱ 㔚߇⽶ߦߥߞߚߣ⠨߃ࠄࠇࠆ㧚߹ߚ㧘࿑ 4 ߩًශߢ␜ߒߚ ᤨὐߢੱࠍࠕࠬߒߚߣ߈ߦੱ㔚߇ 0V ߦߥࠄߥ߆ߞ ߚߎߣ߽㧘Cxߩ㔚⩄߇ߔߴߡ㔚ߒߥ߆ߞߚߣ⠨߃ࠇ߫⺑ ߢ߈ࠆ㧚 એਅ㧘ߎࠇࠄߩ⚿ᨐࠍෳ⠨ߦߒߡ㧘ᱠⴕᤨߩੱᏪ㔚ߩ╬ ଔ࿁〝ࠍᬌ⸛ߒߚ㧚 3. ੱߩᱠⴕᏪ㔚ߦ߅ߌࠆ࿁〝ࡕ࠺࡞ߩᬌ⸛ 3.1 ᱠⴕᤨߩᏪ㔚㔚ࠍᮨᡆߔࠆߚߩ╬ଔ࿁〝 ࿑ 6 ߩ╬ଔ࿁〝ߪ㕒ᱛਛߩੱߦߟߡ᳞ߚ߽ߩߢߞ ߚ㧚ߘߎߢ㧘ᱠⴕേߦ߁㔚⩄ߩ⊒↢ࠍࠊߔߚ㧘࿑ 6 ߩ࿁〝ߦጁ‛ߣᐥߩ㑆ߩ㕒㔚ኈ㊂ C2R߹ߚߪ C2Lࠍㅊടߒߚ㧚 ߎࠇࠍ࿑ 7 ߦ␜ߔ㧚ߎߩ࿑ߪ㧘ฝ⿷ࠍߍߚߣ߈ߩ⁁ᘒࠍ ࠊߒߡࠆ㧚Ꮐ⿷ࠍߍߚߣ߈ߦߪ C2Rߩઍࠊࠅߦ C1Lߣ⋥ ߦ C2L߇ࠅ㧘ᱠⴕਛߪਔ⿷߇หᤨߦ⌕ߔࠆߎߣߥߊߎ ߩ⁁ᘒ߇ߦ➅ࠅߐࠇ㧘ᱠⴕᱛᓟߪ C2Lߣ C2R߇ߥߊ ߥࠆߣቯߔࠆ㧚 ࿑ 7 ߩ࿁〝ߦࠃࠅ㧘ᱠⴕਛ߅ࠃ߮ᱠⴕᱛᓟߩੱ㔚ᄌ ൻߦߟߡ㧘ߨએਅߩࠃ߁ߦ⺑ߢ߈ࠆ㧚C0㧘C1L㧘C2L㧘 C1R㧘C2Rߩ㔚ࠍߘࠇߙࠇv0㧘v1L㧘v2L㧘v1R㧘v2Rߣߒ㧘㔚 ߩะ߈ߪੱ߇ᱜ㧘ᄢ߇⽶ߢࠆߣߔࠆ㧚߹ߚ㧘ߦ㧘 ᐥߣጁ‛ߩ㑆ߦ⊒↢ߔࠆ㔚v2Lߣv2Rߪචಽᄢ߈ᱜߩ㔚 ߢࠅ㧘ੱ㔚v0ߩೋᦼ୯ߪ 0V ߢࠆߣߔࠆ㧚 ߚߣ߃߫㧘࿑ 7 ߩฝ⿷ࠍߍߚ⁁ᘒߢߪ㧘v0=v1R+v2Rߢ ࠆ㧚v2R߇චಽᄢ߈ᱜߩ㔚ߢࠆ߆ࠄ㧘࿑ 8(a)ߦ␜ߔࠃ߁ ߦ㧘C0ߩ㔚v0߇ᱜ㧘C1Rߩ㔚v1R߇⽶ߦߥࠆ㧚ߎߩᓟ㧘 ࿁〝ฦㇱߩ㔚ߪㆊᷰ⊛ߦᷫߔࠆ߇㧘ᰴߩ 1 ᱠߢ࿁〝ߩᏀ ฝ߇ᦧߒ㧘એਅห᭽ߩߎߣ߇➅ࠅߐࠇࠆ㧚 ߎߩࠃ߁ߦv1R߹ߚߪv1L߇⽶ߦߥࠆ⚿ᨐ㧘C0߿ C1R㧘C1L ߩల㔚ㅦᐲߩ⋧㑐ଥߦࠃߞߡߪ㧘v0߇⽶ߦߥࠆน⢻ᕈ߇ ࠆޕߎࠇߪ㧘ᱠⴕਛ߽ᱠⴕᱛᓟ߽ߕࠇߩ႐ว߽⠨߃ࠄ ࠇࠆߎߣߢࠆޕߚߣ߃߫㧘࿑ 9(b)ߩࠃ߁ߦᱠⴕᱛ⋥೨ߩ v1Rߣv1L߇v0ࠃࠅ߽චಽᄢ߈ߣ㧘࿑ 9(c)ߩࠃ߁ߦᱠⴕᱛ ᓟߩੱ㔚 v0߇ᷫߔࠆㆊ⒟ߢ⽶ߦᄌൻߔࠆน⢻ᕈ߇ ࠆ㧚ߎࠇ߇㧘࿑ 2 ߿࿑㧠ߢࠄࠇߚੱ㔚ߩ╓ภ߇ᄌൻߔ ࠆᯏ᭴ߢࠆ㧚 3.2 ╬ଔ࿁〝ߩቯᢙ ⸘▚⚿ᨐࠍᲧセߒ߿ߔߊߔࠆߚ㧘R0ߣ R1ߩߕࠇ߆৻ ᣇࠍ৻ቯ୯ߦ࿕ቯߒ㧘ઁᣇࠍࡄࡔ࠲ߣߒߡᄌൻߐߖߚ㧚 ࿑ 2 ߢߪ㧘ੱ߇ CR ਗ࿁〝ߢࠆߣቯߒߡᱠⴕᱛᓟ ߩ✭ᤨ㑆߆ࠄ▚ߢ᳞ߚᛶ᛫୯ R ߪ 1010㨪1011ǡߢߞ ߚ㧚ߘߎߢ㧘R0ߣ R1ߩ୯ߪ 1010ǡએߩ▸࿐ߢᄌൻߐߖߚ㧚 R1ߩ࿕ቯ୯ߪ㧘࿑ 6 ߩ╬ଔ࿁〝ߢ᳞ߚ R㨤ࠍෳ⠨ߦߒߡ 1011ǡߦ⸳ቯߒߚ㧚R0ߩ࿕ቯ୯ߪ㧘R㨤ࠍ᳞ߚߣ߈ߣห᭽㧘 R1ࠃࠅචಽᄢ߈ߣߺߥߖࠆ୯ߣߒߡ 1012ǡߦ⸳ቯߒߚ㧚 C0ߩ୯ߪ㧘ᑼ(2)ߩ⸘▚ߢߪ 92pF ߣߒߚ߇㧘ߎߎߢߪᢙ ߢචಽߢࠆߚ 100pF ߦ⸳ቯߒߚ㧚 C1ߩ୯ߪ㧘࿑ 6 ߩ╬ଔ࿁〝ߢ᳞ߚ Cxࠍෳ⠨ߦߒߚ㧚Cx ߩ୯ 400pF ߪਔ⿷߇ᐥߦ⌕ߒߚ⁁ᘒߢ᳞ߚ߽ߩߢࠆ߆ ࠄ㧘C1ߪ ⿷ಽߣߒߡ 200pF ߦ⸳ቯߒߚ㧚 C3ߩ୯ߪ㧘Pirici ࠄߩੱᏪ㔚ࡕ࠺࡞ߩ᭴▽ࠍෳ⠨ߦߒߡ ᰴᑼߢ⸘▚ߒߚ11㧕㧚 ࿑ 7 ᱠⴕᤨߩੱᏪ㔚㔚ߩ⸘▚ߦ↪ߚ╬ଔ࿁〝 Fig.7 Equivalent circuit used for simulation of electrostatic
charging of a walking human body.
R1R R0 C0 C1R C1L R1L iL i0 iR v1L v1R v2R v0 㧗 㧙 㧗 㧙 㧗 㧙 㧗 㧙C2R Human body
(6) ߎߎߢǭ0ߪ⌀ⓨߩ⺃㔚₸㧘ǭrߪ‛⾰ߦࠃߞߡ⇣ߥࠆᲧ⺃㔚 ₸ߢࠆ㧚ߎߩ႐ว㧘ⓨ᳇ਛߢࠆ߆ࠄǭrߪ 1 ߢࠆ㧚ᐩ㕙 Ⓧ S ࠍ 0.025m2㧘ᐥ߆ࠄߩ〒㔌 d ࠍ 0.05m ߣߒߡᑼ(6)ߢ⸘▚ ߒߚ⚿ᨐ߆ࠄ㧘C2ߪ 5pF ߦ⸳ቯߒߚ㧚 ߎߩࡕ࠺࡞ߢߪ㧘ጁ‛߇ᐥ߆ࠄ㔌ࠇߚߣ߈ C3ߦ⊒↢ߔࠆ㔚 ⩄㊂ࠍቯߔࠆᔅⷐ߇ࠆ㧚Pirici ࠄߪ㧘㒠ゞᤨߩੱᐳᏨ 㑆㧔ធ⸅㕙Ⓧ 0.09m2㧕ߢ⊒↢ߔࠆ㔚⩄㊂ࠍ 2.5ǴC ߣߒߡ ࠆ12)㧚ߎߩ୯ࠍන⚐ߦ㕙ⓍᲧߢ឵▚ߔࠆߣ㧘ጁ‛ߦ⊒↢ߔࠆ 㔚⩄㊂ߪ⚂ 0.7ǴC ߣߥࠆ㧚ߒ߆ߒ㧘ߎߩ୯ࠍ↪ߡ⸘▚ߔࠆ ߎߣߪታ㓙⊛ߢߪߥ㧚ߥߗߥࠄ㧘C2ߩ㔚߇ 140kV ߣ⸘▚ ߐࠇࠆ߆ࠄߢࠆ㧚߽ߒ㧘ታ㓙ߦߘߩࠃ߁ߥ㔚⩄߇⊒↢ߒߚ ߣߒߡ߽㧘ጁ‛߇ᐥ߆ࠄ㔌ࠇࠆㆊ⒟ߢ㔚⩄ߩㅒᵹ 12㧕߇ߎ ࠅ㧘㑆㓗ߩ⛘✼⠴ജࠍ߃ࠆ㔚߹ߢ㆐ߔࠆߎߣߪߥߢ ࠈ߁㧚ߘߎߢ㧘C2ߩ㔚ߩᅷᒰߥ୯ߣߒߡ 1 ᩴዊߐ 10kV ࠍᗐቯߒ㧘⊒↢ߩ㔚⩄㊂ࠍ 0.05ǴC ߦ⸳ቯߒߚ㧚 3.3 ╬ଔ࿁〝ߦࠃࠆ⸘▚ᣇᴺ ࿑ 7 ߦ␜ߔࠃ߁ߦฦㇱߩ㔚ߣ㔚ᵹࠍቯࠆߣ㧘ࠝࡓߩ ᴺೣߣࠠ࡞ࡅࡎ࠶ࡈߩᴺೣ߆ࠄ㧘ᰴᑼ(7)ߩ㑐ଥ߇ᚑࠅ┙ߟ㧚 ߎߎߢ㧘v ߪ0 dv0 dtࠍߔ߽ߩߣߔࠆ㧚߹ߚ㧘ฝ⿷ߣᏀ ⿷ߩ࿁〝ቯᢙߪ╬ߒߣ⠨߃㧘C1R=C1L=C1㧘C2R=C2L=C2㧘 R1R=R1L=R1㧘R2R㧩R2L㧩R2ߢࠆߣߔࠆ㧚 (7) ᑼ(7)߆ࠄ㔚ᵹߩᄌᢙࠍᶖߔࠆߣᰴᑼ߇ᓧࠄࠇࠆ㧚 (8) ߎߩㅪ┙ᓸಽᣇ⒟ᑼߩᢙ୯⸃ࠍ࡞ࡦࠥࠢ࠶࠲ᴺࠍ↪ ߡ⸘▚ߒ㧘ᱠⴕߦ߁ੱ㔚 v0ߩᤨ㑆ᄌൻࠍ᳞ߚ㧚⸘▚ ߩೞߺᤨ㑆ߪ 0.1s㧘ᱠⴕㅦᐲߪᲤ⑽ 2 ᱠߣߒߚ㧚߹ߚ㧘ᱠⴕ 㐿ᆎ೨ߩ᧦ઙߣߒߡ㧘㔚 v0㧘v1L߅ࠃ߮ v1Rߩೋᦼ୯ߪ 0V ߣߒߚ㧚 Ꮐฝߩ⿷ࠍߦ㧝ᱠߕߟㅴࠆߚ߮ߦ㧘࿑ 7 ߩ࿁〝ߩᏀ ฝࠍࠇᦧ߃ࠆᔅⷐ߇ࠆ㧚ታ㓙ߩ⸘▚ߢߪ㧘ࡊࡠࠣࡓ ߩਛߢ㔚 v1Lߣ v1Rߩ୯ࠍࠇᦧ߃ࠆߎߣߦࠃߞߡᏀฝߩ ࠇᦧ߃ࠍⴕߞߚ㧚৻ᱠߏߣߩ⸘▚㑆ߩೋᦼ୯ߣߒߡ㧘ጁ‛ ߣᐥ㑆ߩ㕒㔚ኈ㊂ C3ߦ 0.05ǴC ߩ㔚⩄ࠍਈ߃ߚ㧚ᱠⴕᤨ㑆ߪ 60s 㑆ߣߒ㧘ߘߩᓟߪᱠⴕᱛߔࠆߣߒߚ㧚 3.4 ╬ଔ࿁〝ߦࠃࠆ⸘▚⚿ᨐ ᑼ(7)㧘(8)ߦࠃࠆ⸘▚⚿ᨐߩ৻ࠍ࿑ 9(a)㨪(c)ߦ␜ߔ㧚࿑ 2 ߢߺࠄࠇߚࠃ߁ߥᱠⴕਛࠆߪᱠⴕᱛᓟߦੱ㔚ߩ ╓ภ߇ᄌࠊࠆߣ߁․ᓽ߇ࠊࠇߚ㧚એਅ㧘⸘▚⚿ᨐߦߺࠄ ࠇࠆ․ᓽࠍߍߡ⠨ኤߔࠆ㧚 3.4.1 R0ࠍᄌൻߐߖߚ႐ว ࿑ 9(a)ߪ R1ࠍ 1011ǡߢ࿕ቯߒߡ R0ࠍᄌൻߐߖߚ႐วߩ⸘ ▚⚿ᨐߢࠆ㧚R0߇ዊߐߊߥࠆߣ㧘ᱠⴕਛߩੱ㔚߇ૐߊ ߥߞߚ㧚R0߇ 1012ǡએਅߢߪ㧘ᱠⴕᱛᓟߩੱ㔚߇ᷫ ㆊ⒟ߢᱜ߆ࠄ⽶ߦᄌൻߔࠆ⁁ᴫ߇ࠊࠇ㧘R0߇ 1011ǡߩߣ߈ ߦ⽶㔚ߩ⛘ኻ୯߇ᦨ߽ᄢ߈ߊߥߞߚ㧚 ࿑ 2 ߩታ᷹ߦ߅ߡታ㛎ߏߣߦᄌൻߐߖߚ᧦ઙߪጁ‛ߩ ⒳㘃ߛߌߢࠆ㧚ߎߩታ㛎᧦ઙߩ㆑ߦࠃߞߡ㧘࿑ 7 ߩ╬ଔ ࿁〝ߢ߁ߣ R1߇ᄌൻߒߚߪߕߢࠆ㧚߽ߒ㧘R1ߛߌ߇ᄌ ൻߒߚߩߢࠇ߫㧘ታ᷹ߦߪ R0ߩᓇ㗀߇ࠊࠇߥߎߣߦ ߥࠆ㧚ߒ߆ߒ㧘ጁ‛߿ᐥࠍㅢߒߡߩ㕒㔚᳇ߩṳᵨߪታ㓙ߦ⚻ 㛎ߔࠆߣߎࠈߢࠅ㧘ߎࠇߪ R0ߩᚑಽߣߒߡ⠨߃ࠆߴ߈߽ߩ ߢࠆ㧚ߔߥࠊߜ㧘ጁ‛ߩ⒳㘃ࠍᄌ߃ߚߎߣߦࠃߞߡታ᷹ ߩ㔚ᄌൻߦߪ R0ߣ R1ߩਔᣇߩᓇ㗀߇ᷙߒߡࠆߣ⠨߃ ࠄࠇࠆߚ㧘⸘▚⚿ᨐߣන⚐ߦᲧセߔࠆߎߣ߇ߢ߈ߥ㧚ታ ᷹ߦ߅ߌࠆ R0ߣ R1ࠍಽ㔌ߔࠆߎߣ߇ᓟߩᬌ⸛ߦ߅ߌࠆ ⺖㗴ߢࠆ㧚 3.4.2 R1ࠍᄌൻߐߖߚ႐ว ࿑ 9(b)ߪ㧘R0ࠍ 1011ǡߢ࿕ቯߒߡ R1ࠍᄌൻߐߖߚ႐วߩ⸘ ▚⚿ᨐߢࠆ㧚R1߇ᄢ߈ߊߥࠆߦᓥߞߡੱ㔚ߩ߇✭ ᘟߦߥߞߚ㧚ߘߩ⚿ᨐ㧘R1ߩ୯߇ 1012ǡએߢߪ㧘৻ቯߩᱠ ⴕᤨ㑆ౝߦ㆐ߒᓧࠆੱ㔚ߩᦨᄢ୯߇ૐߊߥߞߚ㧚 ࿑ 9(b)ߦ␜ߒߚC ߩ✭ᘟߥੱ㔚ᄌൻߩࡄ࠲ࡦߪ㧘࿑ 2 ߩਛߢߪ㧘(j)ߩጁ‛ No.10 ߩታ᷹߇ᦨ߽㘃ૃߒߡࠆ㧚 ߎߩጁ‛ No.10 ߩ✭ᤨ㑆߆ࠄ᳞ߚ R ߩ୯ߪታ᷹ߩਛߢ ᦨ߽ᄢ߈ߊ㧘R1ߦ⋧ᒰߔࠆᛶ᛫߇ᄢ߈߆ߞߚߎߣࠍ␜ໂߒߡ ࠆ㧚 ৻ᣇߢ㧘࿑ 2 ߩታ᷹ߩਛߢ R ߇ᦨ߽ዊߐ(a)㧘(e)㧘(g) ߩᄌൻࡄ࠲ࡦߪ㧘ߕࠇ߽ 500V ೨ᓟߩૐ୯ߢផ⒖ߒߡ ߅ࠅ㧘࿑ 9(b)ߩD ߩࡄ࠲ࡦߣ㘃ૃߒߡࠆ㧚 ߎࠇࠄߩߎߣ߆ࠄ㧘೨㗄ߢㅀߴߚ R0ߩᷙ߇ήⷞߢ߈ߥ ߽ߩߩ㧘࿑ 2 ߩታ᷹ߦߪ R1ߩᓇ㗀߇ᒝߊࠊࠇߡࠆߣ⠨ ߃ࠄࠇࠆ㧚ߎࠇߪ㧘ታ᷹ߢጁ‛ߩ⒳㘃ࠍᄌ߃ߚߣ߁ߎߣ ߆ࠄ੍߽ᗐߢ߈ࠆ⚿ᨐߢࠆ㧚 ࿑ 9 ߦ␜ߔࠃ߁ߦ㧘R1ߩ୯߇ 1012ǡએߩߣ߈㧘ᱠⴕᱛ ᓟߩੱ㔚ߩ⸘▚୯߇⽶ߦᄌൻߒߚ㧚R1ߪጁ‛ߩᛶ᛫ࠍᗐ d S C H0Hr ° ° ¿ ° ° ¾ ½ 1 R 2R 1R 1 L 1L 0 0 0 R 2R 2 1R 1 L 1L 1 R L 0 0 0 R R R C C C C i v v i v i v i v v i v i i i v
°° ° ° ¿ °° ° ° ¾ ½ R R R R R R L L R R L v v v v v v v v v v v v v v v v 2 1 1 1 2 0 1 1 2 2 2 1 0 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 0 0 1 1 0 1 0 0 R C R C R C R C R C 2R1 R C
ቯߒߚ߽ߩߢࠆ߆ࠄ㧘ᵻ㊁ߩ⸃⺑ 13㧕ࠍᒁ↪ߔࠆߣ㧘ߎߩ ߎߣߪᰴߩࠃ߁ߦ߽⺑ߢ߈ࠆ㧚ߔߥࠊߜ㧘ጁ‛ߩᛶ᛫߇Ყ セ⊛ૐ႐ว㧔1012ǡએਅ㧕ߪ㧘⊒↢㔚⩄߇ੱోߦᐢ߇ ߞߡੱߩ㔚ࠍߍࠆ߇㧘㜞႐วߦߪ㧘ጁ‛ߣ⿷ߩⵣ߇ 㔚᳇ੑ㊀ጀߣߥࠅ㧘ੱ㔚ߪጁ‛ߩ㔚ࠃࠅૐߊߥߞߚߣ ⠨߃ࠄࠇࠆ㧚 3.4.3 R0㧘R1ࠍหᤨߦᄌൻߐߖߚ႐ว ࿑ 9(c)ߪ㧘R0ߣ R1ߩਔᣇࠍหᤨߦᄌൻߒߚ႐วߩ⸘▚⚿ᨐ ߢࠆ㧚࿑ 9(b)ߩ႐วߣห᭽㧘R0ߣ R1ߩ୯߇ᄢ߈ߊߥࠆߣ ੱ㔚ߩ߇✭ᘟߦߥࠅ㧘৻ቯߩᱠⴕᤨ㑆ౝߢᲧセߒߚ ႐วߩ㆐ߒᓧࠆੱ㔚ߩᦨᄢ୯߇ૐߊߥߞߚ㧚 R0ߣ R1߇ 10 10 ǡߩߣ߈ߩA ߩࡄ࠲ࡦߢߪ㧘ᱠⴕਛߪੱ 㔚߇߶ߣࠎߤ 0V ߢࠆ߇㧘ᱠⴕᱛᓟߦ⽶ߩᣇะߦᄢ ߈ߊߥࠆߣ߁࿑ 2(i)㧘(k)ߩታ᷹ߦ㘃ૃߒߚ․ᓽ߇ߺࠄࠇ ߚ㧚ߚߛߒ㧘࿑ 2 ߩ✭ᤨ㑆߆ࠄ᳞ߚߎࠇࠄߩጁ‛ߩ R ߩ ୯ߪฦޘ0.81010ǡߣ 1.51011ǡߢࠅ㧘ᓟ⠪ߩ࿑ 2(k)ߩ႐ วߦߪᔅߕߒ߽ R0ߣ R1ߩਔᣇߩ୯߇ዊߐߣߪ⸒߃ߥ㧚 ߎߩ࿁〝ࡕ࠺࡞ߢߪࠊߖߡߥߩⷐ⚛ࠍ⠨ᘦߔࠆᔅ ⷐ߇ࠆߣᕁࠊࠇࠆ㧚 4. ߹ߣ ጁ‛ߩ⒳㘃ࠍᄌ߃ߡᱠⴕਛߩੱᏪ㔚㔚ࠍ᷹ቯߒ㧘ᱠⴕ ᱛᓟߩᷫㆊ⒟ߢੱ㔚߇ᱜ߆ࠄ⽶ߦᄌൻߔࠆߣ߁ ታ᷹ࠍ␜ߒߚ㧚ߘߒߡ㧘ߎߩᏪ㔚㔚ߩ╓ภߩᄌൻߪ㧘ጁ ‛߿ᐥߩᓇ㗀ࠍടߒߚ╬ଔ࿁〝ߦࠃߞߡ⺑ߢ߈ࠆߎߣ ࠍ␜ߒߚ㧚ߐࠄߦ㧘ታ㛎⚿ᨐߦၮߠߡ࿁〝ቯᢙࠍቯߒ㧘 ⸘▚ߦࠃࠆࠪࡒࡘ࡚ࠪࡦࠍⴕߞߚߣߎࠈ㧘ታ᷹ߦߺࠄ ࠇߚ⽶ߦᄌൻߔࠆ․ᓽߥߤ߇ౣߐࠇߚ㧚 ߎߩ⎇ⓥߢߪ㧘ጁ‛߿ᐥߩᓇ㗀ࠍടߒߚ◲නߥ╬ଔ࿁〝 ࠍ↪ߡ㧘ᱠⴕᤨߦߺࠄࠇࠆੱ㔚ߩ╓ภߩᄌൻߩ⺑ࠍ ⹜ߺߚ߽ߩߢࠆ㧚ታ㓙ߩᱠⴕᏪ㔚ߪੱࠍขࠅᏎߊ࿐ߩ ‛߽ߚᄙ㑆ߩಽᏓቯᢙ⊛ขࠅᛒࠍᔅⷐߣߔࠆⶄ 㔀ߥ⽎ߢࠆ㧚නߥࠆ╬ଔ࿁〝ߩⶄ㔀ൻߢߪߥߊ㧘ታ᷹୯ ߣߩኻᔕߦၮߠߚቯ㊂⊛ߥ੍᷹ߦ߽߃ࠆ⸘▚ࡕ࠺࡞ߦ ⊒ዷߐߖࠆߎߣ߇ᓟߩ⺖㗴ߢࠆ㧚 ෳ⠨ᢥ₂ 1) ዊᨋാੱ, 㦮ᙗ㓶, ⮮ᨋብ৻, ᧻ḩ: 㕒㔚᳇ቇળ⻠Ṷ ⺰ᢥ㓸 '82, p.247, 㕒㔚᳇ቇળ (1982) 2) 㕒㔚᳇ቇળ: ᣂ 㕒㔚᳇ࡂࡦ࠼ࡉ࠶ࠢ, p.204-283, ࠝ ࡓ␠ (1998) 3) ᢧ⮮ᵗ: ᔕ↪‛ℂ, 32 (1963) 301 4) ↰⇗ᵏᐘ, ఽ₹ീ, ⫱ᳰᱜਯ, ਃᐘ↵: 㕒㔚᳇ቇળ⻠ Ṷ⺰ᢥ㓸 '86, p.367, 㕒㔚᳇ቇળ (1986) 5) ⪤ᧄᤘ, ᷰㆺᙗ, ᧁਅൎඳ: 㕒㔚᳇ቇળ⻠Ṷ⺰ᢥ㓸 ' 93, p.407, 㕒㔚᳇ቇળ (1993) 6) ᧻የ⟵ノ, ↰⇗ᵏᐘ: 㕒㔚᳇ቇળ⻠Ṷ⺰ᢥ㓸 '87, p.239, 㕒㔚᳇ቇળ (1987) 7) ◉ፒ⮍, ᢅೣ: 㔚ሶᖱႎㅢାቇળᤐቄో࿖ᄢળ⻠Ṷ⺰ ᢥ㓸, p.1-280, 㔚ሶᖱႎㅢାቇળ (1988) 8) ᒄ, Ⓑ⪲ੳ, ศ↰㓉♿, ጟ↰ቁᄦ: ╙ 7 ࿁ࠦࡦ࠲ࡒࡀ ࡚ࠪࡦࠦࡦ࠻ࡠ࡞⎇ⓥᄢળ੍Ⓜ㓸, p.215, ᣣᧄⓨ᳇ ᷡᵺදળ (1988) 9) ዊ㊁㓷ม: 㕒㔚᳇ቇળ, 15 (1991) 19 10) JIS L 1021ᢝ‛⹜㛎ᣇᴺ (1979)
11) D. Pirici, J. Rivenc, T. Lebey, D. Malec, A, Agneray, M. Cheaib: Journal of Electrostatics, 62 (2004) 167
12) 㦮ᙗ㓶: 㕒㔚᳇㓚ἴኂኻ╷ࡂࡦ࠼ࡉ࠶ࠢ(), p.11, ࡑ ࠣࡠ࠙ࡅ࡞ᅢቇ␠ (1977) 13) ᵻ㊁ବ: 㕒㔚᳇ቇળ, 5 (1981) 428 C0 =100pF C1 =200pF R0 =11012ǡ C0 =100pF C1 =200pF R1 =11011ǡ A㧦R1 =11010ǡ B㧦R1 =11011ǡ C㧦R1 =11012ǡ D㧦R1 =11013ǡ A㧦R0 =11010ǡ B㧦R0 =11011ǡ C㧦R0 =110 12ǡ D㧦R0 =11013ǡ C0 =100pF C1 =200pF A㧦R0 =R1 =110 10 ǡ B㧦R0 =R1 =11011ǡ C㧦R0 =R1 =11012ǡ D㧦R0 =R1 =11013ǡ ࿑ 9 ⸘▚⚿ᨐߩ
Fig. 9 Typical computations results. (a) R1ࠍ࿕ቯߒߡ㧘R0ࠍᄌൻߐߖߚ႐ว
(a) R1is constant and R0 varies.
(b) R0ࠍ࿕ቯߒߡ㧘R1ࠍᄌൻߐߖߚ႐ว
(b) R0 is constant and R1 varies.
(c) R0ߣ R1ࠍหᤨߦᄌൻߐߖߚ႐ว
