, 29, 5 (2005) 275 280

ᱠⴕᤨߩੱ૕Ꮺ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 bodysometimes changes polarity during walking and after stopping. Another measurement of the voltage decay of astationary 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 bodyvoltage 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 eachother.
1.

ߪߓ߼ߦࠆߣߣ߽ߦ㧘Ꮺ㔚㔚૏ߩ╓ภ߇ᄌࠊࠆේ࿃ߦߟ޿ߡᬌ⸛ߒߚ㧚ᱠⴕᤨߦ↢ߓࠆੱ૕ߩ㕒㔚᳇Ꮺ㔚ߪ㧘Ἣἴ῜⊒੐᡿ߩේ࿃ߐࠄߦ㧘ߎߩ⚿ᨐߦၮߠ޿ߡᱠⴕᤨߩੱ૕ࠍࡕ࠺࡞ൻߒߚ࿁ߣߥࠆߛߌߢߥߊ㧘㔚ሶ࠺ࡃࠗࠬߩ ESD ኻ╷ߦ߅޿ߡ߽㊀ᄢ〝ࠍ૞ᚑߒ㧘⸘▚ߦࠃࠆࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕߞߚ㧚ߘߩ⚿ߥ໧㗴ߢ޽ࠆ㧚ੱ૕ߩᏪ㔚ߪ㧘ጁ‛㧘ᐥߥߤߩ᭽‫ߥޘ‬ⅣႺ᧦ᨐ㧘⸘▚਄ߢ߽Ꮺ㔚㔚૏ߩ╓ภ߇ᄌࠊࠆߎߣࠍ␜ߒߚ㧚߹ߚ1㧕ઙߦࠃߞߡᓇ㗀ߐࠇࠆߚ߼ 㧘․⇣ߥ⃻⽎߇ߺࠄࠇࠆߎߣ߇࿁〝ቯᢙࠍᄌ߃ߚ႐วߦߟ޿ߡ㧘Ꮺ㔚ࡕ࠺࡞ߦࠃࠆ⸘▚⚿ᨐ޽ࠆ㧚଀߃߫㧘ࠞ࡯ࡍ࠶࠻਄ߩᱠⴕਛ߿ᱠⴕ஗ᱛᓟߦੱ૕㔚ߣታ㛎࠺࡯࠲ߣߩᲧセࠍⴕߞߚ㧚૏ߩ╓ภ߇ᄌࠊࠆߣ޿߁⃻⽎߇⍮ࠄࠇߡ޿ࠆ

2-5㧕㧚ߣߎࠈ߇㧘ੱ૕ߩᏪ㔚ߦ߅ߌࠆᐥ߿ጁ‛ߩᓇ㗀ߦߟ޿ߡᬌ⸛ߒߚ⎇ⓥႎ๔ߪᄙ޿߇

6-9)㧘ੱ૕㔚૏ߩ╓ว߇ᄌࠊࠆ⃻⽎ߦߟ޿ߡߩ╬ଔ࿁〝⊛ߥᬌ⸛ߪⴕࠊࠇߡ޿ߥ޿㧚2.

ᱠⴕᏪ㔚ߩታ㛎

2.1

ታ㛎ᣇᴺᱠⴕਛ߅ࠃ߮ᱠⴕ஗ᱛᓟߩੱ૕㔚૏ߩ᷹ቯߪ㧘ࠬ࠻ࡠ࡯࡞

ᧄ⎇ⓥߢߪታ㛎ቶߩᐥࠍᱠⴕߔࠆታ㛎ߦ߅޿ߡ㧘ᱠⴕਛ޽ᴺߦḰߓߡⴕߞߚ 10㧕㧚᷹ቯེߪ㧘࿑ 1 ߦ␜ߔ౞᧼㔚ᭂߦኻะࠆ޿ߪᱠⴕ஗ᱛᓟߩੱ૕㔚૏ߩᄌൻㆊ⒟ߢ㔚૏ߩ╓ภ߇ᄌߐߖߚ࿁ォ࠮ࠢ࠲ᒻ㔚⇇⸘ߢ޽ࠆ㧚ߎࠇߣኻะߐߖߚ౞᧼㔚ࠊࠆ⃻⽎߇⹺߼ࠄࠇߚ㧚ߘߎߢ㧘ጁ‛ߩ⒳㘃ࠍᄌ߃ߚᱠⴕታᭂߦ࡝࡯࠼✢ࠍធ⛯ߒ㧘ⵍ㛎⠪߇ߘߩ┵ࠍ⚛ᚻߢីߞߚ㧚ߎ㛎ࠍⴕ޿㧘ੱ૕㔚૏ߩᄌൻߦߤߩࠃ߁ߥ㆑޿߇↢ߓࠆ߆⺞ߴߩ᷹ቯ♽ߩ㕒㔚ኈ㊂ߪ⚂ 30pF ߢ޽ࠆ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⋵⬿₺↸㆙ಿ↰᷷ᴰ਄ࡁේ3-320㧕
Zao Electrostatic System Laboratory, 3-320 Uenohara,
Togattaonsen, Zaomachi, Miyagi 989-0916, Japan*** ᧲੩ㄘᎿᄢቇฬ⹷ᢎ᝼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, Japan1
hagimoto@nrips.go.jp

࿑ 1 ᷹ቯⵝ⟎Fig. 1 Schematic of measurement apparatus.

276 (42)

295

2005

ታ㛎ߪ,ቶ᷷⚂ 24͠㧘Ḩᐲ 35㨪40㧑ߩቶౝߢⴕߞߚ㧚ᱠⴕ3(b)㧘(c)ߩࠃ߁ߦ A ߣ B ߩ 2 ߟᦛ✢ߢ⴫ࠊߐࠇࠆᄌൻ߇㊀⇥ߒߚ႐ᚲߪ㧘ታ㛎ቶౝߩᐥ㧔Ⴎൻࡆ࠾࡞♽ࠪ࡯࠻㧕ߢ޽ࠆ㧚ߒߚ⚿ᨐ߇ੱ૕㔚૏ߩᦛ✢ C ߦ⋧ᒰߒߡ޿ࠆߩߢߪߥ޿߆ᱠⴕ▸࿐ߪ⚂ 1.5㨙3m ⒟ᐲ㧘ᱠⴕ⚻〝ߪ 8 ߩሼᒻߢ޽ࠆ㧚ߣ⠨߃ࠄࠇߚ㧚ᱠⴕਛߩੱ૕㔚૏߇Ⴧᄢߒߥ޿╙ 3 ߩ႐ว߽㧘ᱠⴕ▸࿐ߦ㒢⇇߇޽ࠆ߇㧘಴᧪ࠆ㒢ࠅᣂߒ޿ᐥ㕙ࠍᱠⴕߒߚ㧚ห᭽ߩ⠨߃ᣇߢ⺑᣿ߔࠆߎߣ߇ߢ߈ࠆ㧚ታ㛎ߦ૶↪ߒߚጁ‛ߪ㧘⴫ 1 ߦ␜ߔ 14 ⒳㘃ߢ޽ࠅ㧘޿ߕ

࿑ 2 ߩጁ‛ No.11 ߣ No.6 ࠍ㊀ߨวࠊߖߚጁ‛ No.12 ߿ࠇ߽ᣂຠߦㄭ޿⁁ᘒߢ޽ࠆ㧚ታ㛎ᤨߣหߓ᷷Ḩᐲߩቶౝߦ 1No.14㧘޽ࠆ޿ߪጁ‛ No.11 ߩᐩ᧚ࠍขࠅ㒰޿ߚጁ‛ No.13

ㅳ㑆એ਄᡼⟎ߒߡ߆ࠄታ㛎ߦ૶↪ߒߚ㧚⌕⴩ߪ㧘✎߹ߚߪߩੱ૕㔚૏ᄌൻࠍߺࠆߣ㧘ߘࠇߙࠇࠝ࡝ࠫ࠽࡞ߩጁ‛ߩ․ᓽ

✎࡮ࡐ࡝ࠛࠬ࠹࡞ᷙ⚜ߩ⴩㘃ߢ޽ࠆ㧚ⵍ㛎⠪ߪり㐳⚂ 170cm㧘
(a)ጁ‛ ͳ1
R=0.51010ǡ

૕㊀⚂ 60kg ߩ↵ᕈߢ޽ࠆ㧚⴫ 1 ߦ␜ߔ㕒㔚ኈ㊂ߦߪ㧘᷹ቯ(h)ጁ‛ ͳ8R=1.31010ǡ

♽ߩ㕒㔚ኈ㊂߇฽߹ࠇߡ޿ࠆ㧚ᐥߣጁ‛ߪ㧘1 ࿁ߩ᷹ቯ߇⚳ੌߔࠆߏߣߦ᫔⁁ߩ㔚࿶ශടᑼ㒰㔚ེߢ㒰㔚ߒ㧘ߐࠄߦࠕ࡞(b)ጁ‛ ͳ2R=1.01010ǡ

ࠦ࡯࡞ࠍᨴߺㄟ߹ߖߚ✎Ꮣߢ⴫㕙ࠍ᜞ߞߚ㧚(i)ጁ‛ ͳ9R=0.81010ǡ

⴫ 1 ታ㛎ߦ૶↪ߒߚጁ‛(c)ጁ‛ ͳ3R=1.61010ǡ

Table 1 Footwear used for experiments.
ጁNo.

‛(j)ጁ‛ ͳ10R=2.21011ǡ㕒㔚ኈ㊂ާpFި1‐⊹㕟⵾⚩჻㕦㧔⊹ᐩ㧕

2002วᚑ⊹㕟⵾⚩჻㕦㧔⎬⾰ࠧࡓᐩ㧕200

3‐⊹㕟⵾⚩჻㕦㧔エ⾰ࠧࡓᐩ㧕160

4ㆇേ㕦㧔޽߼⦡ࠧࡓᐩ㧕

180

5

ࠧࡓ㐳㕦

200

6

ࠬ࡝࠶ࡄ㧔⊒ᵃ EVA ᐩ㧕

1707ࠬ࡝࠶ࡄ㧔Ⴎൻࡆ࠾࡞࡟ࠩ࡯⾍ࠅᐩ㧕

1708

ࠨࡦ࠳࡞㧔⊒ᵃႮൻࡆ࠾࡞৻૕ဳ㧕180

9ࠨࡦ࠳࡞㧔⊒ᵃวᚑࠧࡓᐩ㧕

130

10 ࡆ࡯࠴ࠨࡦ࠳࡞㧔⊒ᵃ EVA ৻૕ဳ㧕130

11 㘑ํ႐↪ࡉ࡯࠷㧔ᧄ૕ߪ EVA,ᐩߪห⊒ᵃ㧕

150

12 㘑ํ႐↪ࡉ࡯࡞ߩ਄ߦߐࠄߦ No. 6 ࠍጁߊ140

13 㘑ํ႐↪ࡉ࡯࠷ߩᐩ᧚ࠍขࠅ㒰ߊ

22014 㘑ํ႐↪ࡉ࡯࠷ߩᐩߦ No. 6 ߩᐩ᧚ࠍ⾍ࠆ

170(k)ጁ‛ ͳ11R=1.51011ǡ(d)ጁ‛ ͳ4R=2.51010ǡ(e)ጁ‛ ͳ5
R=0.51010ǡ(l)ጁ‛ ͳ12R=1.71011ǡ
(f)ጁ‛ ͳ6
R=1.51010ǡ(m)ጁ‛ ͳ13
R=0.51011ǡ(g)ጁ‛ ͳ7
R=0.51010ǡ(n)ጁ‛ ͳ14
R=1.21010ǡ

㧔ᵈ㧕EVA㧦ࠛ࠴࡟ࡦ ㈶㉄ࡆ࠾࡞౒㊀ว᮸⢽
2.2ᱠⴕᤨ߅ࠃ߮ᱠⴕ஗ᱛᓟߩੱ૕㔚૏ᄌൻᱠⴕߦ઻߁ੱ૕㔚૏ߩ᷹ቯ⚿ᨐࠍ࿑ 2(a)㨪(n)ߦ␜ߔ㧚࿑ 2

࿑ 2 ᱠⴕਛ߅ࠃ߮ᱠⴕ஗ᱛᓟߩੱ૕Ꮺ㔚㔚૏ߩᄌൻ
Fig. 2 Human body voltage curves during walking and afterਛߦߪ㧘ᱠⴕ஗ᱛᓟߩ✭๺ᦛ✢߆ࠄ✭๺ᤨ㑆ߩ᭎⇛୯ࠍ⺒ߺ

stopping.

ขࠅ㧘ߎࠇࠍ⴫ 1 ߩ㕒㔚ኈ㊂ߢഀߞߡ᳞߼ߚᛶ᛫୯ R ࠍ૬⸥ߒߚ㧚࿑ 2 ߩੱ૕㔚૏ߩᄌൻߪ㧘ᄢ߈ߊ 3 ߟߦಽߌࠄࠇࠆ㧚╙ 1v

ߪ㧘ᱠⴕਛߦੱ૕㔚૏߇਄᣹ߒ㧘஗ᱛᓟߪᷫ⴮ߔࠆㅢᏱߩᄌ
ൻߢ޽ࠆ㧚╙ 2 ߪ㧘ᱠⴕ஗ᱛᓟߦੱ૕㔚૏ߩ╓ภ߇ᄌࠊࠆ࿑

0v
ACࠆ࿑ 2(i)߅ࠃ߮(k)ߩࠃ߁ߥᄌൻߢ޽ࠆ㧚ᱠⴕ஗ᱛᓟߦੱ૕㔚૏ߩ╓ภ߇ᄌࠊߞߚ╙ 2 ߩ႐วߪ㧘࿑AAt

B2(d)㧘(f)߅ࠃ߮(n)ߩࠃ߁ߥᄌൻߢ޽ࠆ㧚╙ 3 ߪ㧘ᱠⴕਛߩੱ
૕㔚૏߇ 0V ઃㄭߢផ⒖ߒ㧘ᱠⴕ஗ᱛᓟߦ⛘ኻ୯߇ᄢ߈ߊߥvA+B‫ݿ‬C(a)0CBt(b)0CBt(c)࿑ 3 㔚૏ᷫ⴮ࡄ࠲࡯ࡦߩ㊀⇥
Fig.3 Superposing of voltage decay curves.

277 (43)߇⃻ࠊࠇߡ޿ࠆߎߣ߇ࠊ߆ࠆ㧚ߎߩߎߣ߆ࠄ߽㧘ੱ૕ߩᏪ㔚㔚૏ߪⶄᢙߩ㔚૏ᄌൻ߇㊀⇥ߐࠇߚ߽ߩߢ޽ࠆߣផቯߐࠇ
ࠆ㧚

Human body࿑ 4 ߪ㧘ᱠⴕߣ஗ᱛࠍ➅ࠅ㄰ߒߚߣ߈ߩੱ૕㔚૏ߩ᷹ቯ଀

C0 R0Rx C R00v0Cx

ߢ޽ࠆ㧚ߎߩߣ߈ߩጁ‛ߪ No.6 ߢ޽ࠅ㧘ታ㛎ቶᐥߩ਄ߦᢝvx޿ߚෘߐ⚂ 1mm ߩࡐ࡝ࡊࡠࡇ࡟ࡦࠪ࡯࠻਄ࠍᱠⴕߒߚ㧚࿑
RxCx

ਛߩ⍫ශ A ߢ␜ߔࠃ߁ߦ㧘ᱠⴕ஗ᱛᓟߦੱ૕㔚૏߇ᱜ߆ࠄ⽶ߦᄌൻߔࠆ᭽ሶ߇ߺࠄࠇߚ㧚ᱠⴕߣ஗ᱛࠍ➅ࠅ㄰ߔߚ߮ߦ㧘ᱠⴕ஗ᱛᓟߩੱ૕㔚૏߇⽶ᣇะ߳ߕࠇߡ޿ߊࠃ߁ߦߺ߃ࠆ㧚࿑ 6 ࿑ 5 ߩ㔚࿶ᄌൻ߆ࠄផቯߐࠇࠆੱ૕ߩ╬ଔ࿁〝߹ߚ㧘ᱠⴕਛߦੱ૕ࠍ৻⍍ࠕ࡯ࠬߒߚߣ߈㧘ੱ૕㔚૏߇ 0VFig. 6 Equivalent circuit of a charged human body
anticipated from the voltage decay curves in Fig. 5.

ߦߥߞߡ޿ߥ޿ߎߣ߇ࠊ߆ࠆ㧚ߎࠇࠄߩᄌൻࠍ⺑᣿ߔࠆߚ߼ߦߪ㧘ጁ‛߿ᐥߩᓇ㗀ࠍ฽߼ߚ╬ଔ࿁〝⊛ᬌ⸛߇ᔅⷐߢ޽ࠆߣ⠨߃ࠄࠇߚ㧚ߎߩࠃ߁ߥ㔚૏ᄌൻߪ㧘Rx ߣ Cx ࠍട߃ߚ࿑ 6 ߩ࿁〝ࡕ࠺࡞ߦࠃߞߡ⺑᣿ߢ߈ࠆ㧚ߔߥࠊߜ㧘ᐥ߹ߚߪጁ‛ߩᱷ⇐㔚⩄߇ੱ૕㔚૏ߦᓇ㗀ߒߡ޿ࠆߣ⠨߃ࠄࠇࠆ㧚ߘߎߢ㧘ߎߩࡕ࠺࡞ߦ࿑ 5 ߩ᷹ቯ⚿ᨐࠍᒰߡߪ߼㧘࿁〝ቯᢙ╬ࠍ᳞߼ࠆߣᰴߩࠃ߁ߦߥࠆ㧚࿑ 5 ߩੱ૕㔚૏ߪ᭎ߨ৻ቯ୯ߩ㔚࿶ߦẋㄭߒߡ޿ࠆߩߢ㧘ੱ૕߆ࠄߩ㔚⩄ṳᵨ R0 ߇චಽᄢ߈ߊήⷞߢ߈ࠆߣ઒ቯߒߚ㧚A
࿑ 4 ᱠⴕ஗ᱛࠍ➅ࠅ㄰ߒߚߣ߈ߩੱ૕㔚૏㧔ጁ‛ No.6㧕

t=0 ߩߣ߈ߩ v0 ߣ vx ߩೋᦼ୯ࠍߘࠇߙࠇ V0㧘Vx ߣߔࠆߣ㧘ੱ૕㔚૏ v0 ߪᰴᑼߢ⴫ࠊߐࠇࠆ㧚

Fig. 4 Human body voltage during repeated walking and

2.3

tv 0 (t ) V0  D (V x  V0 )(1  e W )stopping with footwear No.6.

(1)ߎߎߢ㧘ᒝ೙Ꮺ㔚ߐߖߚ㕒ᱛਛߩੱ૕㔚૏ᄌൻĮ࿑ 5 ߪ㧘ᒝ೙⊛ߦᏪ㔚ߐߖߚੱ૕㔚૏ߩᷫ⴮․ᕈߢ޽ࠆ㧚ጁ‛ No.9 ߦࠃࠆᱠⴕ⚳ੌ⋥ᓟߦ㧘ᐥߩ㒰㔚ࠍⴕࠊߥ޿߹߹Cx
C x  C0(2)Ĳ ĮC 0 R xߩ⁁ᘒߢ⋥ᵹ㔚Ḯߦ৻⍍⸅ࠇߡੱ૕ࠍᒝ೙⊛ߦᱜ߹ߚߪ⽶(3)ߎߎߢ㧘t ψ пߣߒߚߣ߈ߩ v0 ߩ෼᧤୯ࠍ Vпߣߒ㧘ੱ૕ߦᏪ㔚ߐߖ㧘ߘߩᓟߩ㕒ᱛ⁁ᘒߦ߅ߌࠆੱ૕ߩ㔚૏ᄌൻࠍ᷹

㔚૏߇ᱜߩ႐วߣ⽶ߩ႐วࠍߘࠇߙࠇᷝሼ p ߣ m ߢ⴫ࠊߒߚቯߒߚ߽ߩߢ޽ࠆ㧚ߘߩ⚿ᨐ㧘࿑ 5 ߦ␜ߔࠃ߁ߦ㧘ᱜߩ႐ว

ᑼ(1)ߩㅪ┙ᣇ⒟ᑼࠍ Vx ߣǩߦߟ޿ߡ⸃ߊߣ㧘ߣ⽶ߩ႐วߣߢ㔚૏ᄌൻߦ㆑޿߇ߺࠄࠇ㧘⽶ߩ႐วߦߪ⛘ኻ୯߇ᤨ㑆ߣ౒ߦჇᄢߒߚ㧚Vx

V0pVfm  V0mVfp(4)

V0p  Vfp  V0m  Vfm

D 1

V fp  V fm

(5)

V0p  V0m

ߣߥࠆ㧚਄ᑼߦ࿑ 5 ߆ࠄ⺒ߺขߞߚ୯ࠍઍ౉ߔࠇ߫㧘Vx ߣǩ߇᳞߹ࠆ㧚ߘߩ⚿ᨐࠍ⴫ 2 ߦ␜ߔ㧚ߎߎߢ㧘ߐࠄߦ C0 ߇ਈ߃ࠄࠇࠇ߫ Cx ߣ Rx ࠍ᳞߼ࠆߎߣ߇ߢ߈ࠆ㧚ᢧ⮮ߪ㧘⿷ߣᐥߩ㑆ߦ᜽ࠎߛ⛘✼‛ߩෘߺࠍᄌ߃ߡ࿑ 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⴫ 2 ࿑ 5 ߦᑼ(4)㧘(5)ࠍᒰߡߪ߼ߡᓧࠄࠇߚ୯

Fig. 5 Voltage decay curves of a human body initially charged

Table 2 Variables in Equations (4) and (5) derived from Fig. 5.

with a DC voltage with footwear No.9.

V0p(V) Vп㨜(V) Ǽp(s) V0m(V) Vпm(V) Ǽm(s) Vx(V)A: Charged with a positive voltage.

780

B: Charged with a negative voltage.
3370

18-675-820

7.0ǩ

-1500 0.82

278 (44)2952005㕒㔚ኈ㊂ࠍ᷹ቯߒ㧘ጁ‛ߣᐥߩᓇ㗀ࠍ㒰޿ߚੱ૕ߩ㕒㔚ኈ㊂

Human bodyR1L

߇⚂ 62pF ߢ޽ࠆߣߒߡ޿ࠆ 3)㧚ዊ㊁ࠄ߽⿷ⵣ㧘⢵૕㧘⣨ߩ㕒R1R
㧗㧙㔚ኈ㊂ࠍಽഀߒߡ᷹ቯߒ㧘ߎࠇߦㄭ޿⚿ᨐࠍᓧߡ޿ࠆ 11)㧚ߘC1Rߎߢ㧘ᢧ⮮ߩ୯ߦ᷹ቯ♽ߩ㕒㔚ኈ㊂⚂ 30pF ࠍട߃ߚ 92pF ࠍC1L

㧗㧙v1L

ߙࠇ㧘2.41011ǡ߅ࠃ߮ 9.31010ǡߣߒߡ᳞߼ࠄࠇࠆ㧚㧗㧙

C0 ߣߔࠆߣ Cx ߪ 420pF ߣߥࠅ㧘Ǽp ߣǼm ߦኻߔࠆ Rx ߪߘࠇv0R0

C0C2RiRiLࠇ߽㧘࿑ 6 ߩ╬ଔ࿁〝ߦࠃߞߡ⺑᣿ߢ߈ࠆ㧚ߔߥࠊߜ㧘ᱠⴕ㧗㧙

i0

࿑ 4 ߩᱠⴕ஗ᱛࠍ➅ࠅ㄰ߒߚߣ߈ߦߺࠄࠇߚ⽶ᣇะ߳ߩߕ

v1Rv2R

ਛߦ Cx ߇⽶ߦల㔚ߐࠇ㧘ᱠⴕ஗ᱛࠍ➅ࠅ㄰ߔߏߣߦ vx ߩ⽶㔚࿶߇ᄢ߈ߊߥࠅ㧘ᦨ⚳⊛ߦ࿑ਛߩ⍫ශ A ߦ␜ߔࠃ߁ߦੱ૕
㔚૏߇⽶ߦߥߞߚߣ⠨߃ࠄࠇࠆ㧚߹ߚ㧘࿑ 4 ߩًශߢ␜ߒߚ

࿑ 7 ᱠⴕᤨߩੱ૕Ꮺ㔚㔚࿶ߩ⸘▚ߦ↪޿ߚ╬ଔ࿁〝ᤨὐߢੱ૕ࠍࠕ࡯ࠬߒߚߣ߈ߦੱ૕㔚૏߇ 0V ߦߥࠄߥ߆ߞ

Fig.7 Equivalent circuit used for simulation of electrostatic
charging of a walking human body.

ߚߎߣ߽㧘Cx ߩ㔚⩄߇ߔߴߡ᡼㔚ߒߥ߆ߞߚߣ⠨߃ࠇ߫⺑᣿ߢ߈ࠆ㧚એਅ㧘ߎࠇࠄߩ⚿ᨐࠍෳ⠨ߦߒߡ㧘ᱠⴕᤨߩੱ૕Ꮺ㔚ߩ╬v1v1ଔ࿁〝ࠍᬌ⸛ߒߚ㧚v03.
3.1ੱ૕ߩᱠⴕᏪ㔚ߦ߅ߌࠆ࿁〝ࡕ࠺࡞ߩᬌ⸛
ᱠⴕᤨߩᏪ㔚㔚૏ࠍᮨᡆߔࠆߚ߼ߩ╬ଔ࿁〝

࿑ 6 ߩ╬ଔ࿁〝ߪ㕒ᱛਛߩੱ૕ߦߟ޿ߡ᳞߼ߚ߽ߩߢ޽ߞ

v2v2

v1: v1L or v1Rv2: v2L or v2Rv0(a) During a walk.
(|v1|<|v0|)(b) During a walk.
(|v1|>|v0|)ߚ㧚ߘߎߢ㧘ᱠⴕേ૞ߦ઻߁㔚⩄ߩ⊒↢ࠍ⴫ࠊߔߚ߼㧘࿑ 6ߩ࿁〝ߦጁ‛ߣᐥߩ㑆ߩ㕒㔚ኈ㊂ C2R ߹ߚߪ C2L ࠍㅊടߒߚ㧚ߎࠇࠍ࿑ 7 ߦ␜ߔ㧚ߎߩ࿑ߪ㧘ฝ⿷ࠍ਄ߍߚߣ߈ߩ⁁ᘒࠍ⴫

v2=0

v00

v1

(c)
Afterstopping
walking in (b).

࿑ 8 ᱠⴕ஗ᱛᓟߦ⽶㔚࿶߇⃻ࠊࠇࠆᯏ᭴ߩ⺑᣿࿑
Fig. 8 Conceptual diagram representing the appearance ofnegative voltage after stopping.

ࠊߒߡ޿ࠆ㧚Ꮐ⿷ࠍ਄ߍߚߣ߈ߦߪ C2R ߩઍࠊࠅߦ C1L ߣ⋥೉ߦ C2L ߇౉ࠅ㧘ᱠⴕਛߪਔ⿷߇หᤨߦ⌕࿾ߔࠆߎߣߥߊߎߩ⁁ᘒ߇੤੕ߦ➅ࠅ㄰ߐࠇ㧘ᱠⴕ஗ᱛᓟߪ C2L ߣ C2R ߇ߥߊᓟߩੱ૕㔚૏ v0 ߇ᷫ⴮ߔࠆㆊ⒟ߢ⽶ߦᄌൻߔࠆน⢻ᕈ߇޽ߥࠆߣ઒ቯߔࠆ㧚ࠆ㧚ߎࠇ߇㧘࿑ 2 ߿࿑㧠ߢ⷗ࠄࠇߚੱ૕㔚૏ߩ╓ภ߇ᄌൻߔ

࿑ 7 ߩ࿁〝ߦࠃࠅ㧘ᱠⴕਛ߅ࠃ߮ᱠⴕ஗ᱛᓟߩੱ૕㔚૏ᄌࠆᯏ᭴ߢ޽ࠆ㧚ൻߦߟ޿ߡ㧘᭎ߨએਅߩࠃ߁ߦ⺑᣿ߢ߈ࠆ㧚C0㧘C1L㧘C2L㧘

3.2

C1R㧘C2R ߩ㔚࿶ࠍߘࠇߙࠇ v0㧘v1L㧘v2L㧘v1R㧘v2R ߣߒ㧘㔚࿶⸘▚⚿ᨐࠍᲧセߒ߿ߔߊߔࠆߚ߼㧘R0 ߣ R1 ߩ޿ߕࠇ߆৻ߩะ߈ߪੱ૕஥߇ᱜ㧘ᄢ࿾஥߇⽶ߢ޽ࠆߣߔࠆ㧚߹ߚ㧘઒ߦ㧘ᣇࠍ৻ቯ୯ߦ࿕ቯߒ㧘ઁᣇࠍࡄ࡜ࡔ࡯࠲ߣߒߡᄌൻߐߖߚ㧚ᐥߣጁ‛ߩ㑆ߦ⊒↢ߔࠆ㔚࿶ v2L ߣ v2R ߪචಽᄢ߈޿ᱜߩ㔚࿶

࿑ 2 ߢߪ㧘ੱ૕߇ CR ਗ೉࿁〝ߢ޽ࠆߣ઒ቯߒߡᱠⴕ஗ᱛᓟ

ߢ޽ࠅ㧘ੱ૕㔚૏ v0 ߩೋᦼ୯ߪ 0V ߢ޽ࠆߣߔࠆ㧚ߩ✭๺ᤨ㑆߆ࠄ᭎▚ߢ᳞߼ߚᛶ᛫୯ R ߪ 1010㨪1011ǡߢ޽ߞ╬ଔ࿁〝ߩቯᢙ

ߚߣ߃߫㧘࿑ 7 ߩฝ⿷ࠍ਄ߍߚ⁁ᘒߢߪ㧘v0=v1R+v2R ߢ޽ߚ㧚ߘߎߢ㧘R0 ߣ R1 ߩ୯ߪ 1010ǡએ਄ߩ▸࿐ߢᄌൻߐߖߚ㧚ࠆ㧚v2R ߇චಽᄢ߈޿ᱜߩ㔚࿶ߢ޽ࠆ߆ࠄ㧘࿑ 8(a)ߦ␜ߔࠃ߁

R1 ߩ࿕ቯ୯ߪ㧘࿑ 6 ߩ╬ଔ࿁〝ߢ᳞߼ߚ R㨤ࠍෳ⠨ߦߒߡߦ㧘C0 ߩ㔚࿶ v0 ߇ᱜ㧘C1R ߩ㔚࿶ v1R ߇⽶ߦߥࠆ㧚ߎߩᓟ㧘1011ǡߦ⸳ቯߒߚ㧚R0 ߩ࿕ቯ୯ߪ㧘R㨤ࠍ᳞߼ߚߣ߈ߣห᭽㧘࿁〝ฦㇱߩ㔚࿶ߪㆊᷰ⊛ߦᷫ⴮ߔࠆ߇㧘ᰴߩ 1 ᱠߢ࿁〝ߩᏀ

R1 ࠃࠅචಽᄢ߈޿ߣߺߥߖࠆ୯ߣߒߡ 1012ǡߦ⸳ቯߒߚ㧚ฝ߇੤ᦧߒ㧘એਅห᭽ߩߎߣ߇➅ࠅ㄰ߐࠇࠆ㧚ߎߩࠃ߁ߦ v1R ߹ߚߪ v1L ߇⽶ߦߥࠆ⚿ᨐ㧘C0 ߿ C1R㧘C1LC0 ߩ୯ߪ㧘ᑼ(2)ߩ⸘▚ߢߪ 92pF ߣߒߚ߇㧘ߎߎߢߪ᭎ᢙ
ߢචಽߢ޽ࠆߚ߼ 100pF ߦ⸳ቯߒߚ㧚ߩల᡼㔚ㅦᐲߩ⋧੕㑐ଥߦࠃߞߡߪ㧘v0 ߇⽶ߦߥࠆน⢻ᕈ߇

C1 ߩ୯ߪ㧘࿑ 6 ߩ╬ଔ࿁〝ߢ᳞߼ߚ Cx ࠍෳ⠨ߦߒߚ㧚Cx޽ࠆ‫ߪࠇߎޕ‬㧘ᱠⴕਛ߽ᱠⴕ஗ᱛᓟ߽޿ߕࠇߩ႐ว߽⠨߃ࠄ

ߩ୯ 400pF ߪਔ⿷߇ᐥߦ⌕࿾ߒߚ⁁ᘒߢ᳞߼ߚ߽ߩߢ޽ࠆ߆

ࠇࠆߎߣߢ޽ࠆ‫߫߃ߣߚޕ‬㧘࿑ 9(b)ߩࠃ߁ߦᱠⴕ஗ᱛ⋥೨ߩࠄ㧘C1 ߪ ⿷ಽߣߒߡ 200pF ߦ⸳ቯߒߚ㧚v1R ߣ v1L ߇ v0 ࠃࠅ߽චಽᄢ߈޿ߣ㧘࿑ 9(c)ߩࠃ߁ߦᱠⴕ஗ᱛ

C3 ߩ୯ߪ㧘Pirici ࠄߩੱ૕Ꮺ㔚ࡕ࠺࡞ߩ᭴▽ࠍෳ⠨ߦߒߡᰴᑼߢ⸘▚ߒߚ 11㧕㧚279 (45)(6)
Sdߎߎߢǭ0 ߪ⌀ⓨߩ⺃㔚₸㧘ǭr ߪ‛⾰ߦࠃߞߡ⇣ߥࠆᲧ⺃㔚

H 0H rC₸ߢ޽ࠆ㧚ߎߩ႐ว㧘ⓨ᳇ਛߢ޽ࠆ߆ࠄǭr ߪ 1 ߢ޽ࠆ㧚ᐩ㕙Ⓧ S ࠍ 0.025m2㧘ᐥ߆ࠄߩ〒㔌 d ࠍ 0.05m ߣߒߡᑼ(6)ߢ⸘▚ߒߚ⚿ᨐ߆ࠄ㧘C2 ߪ 5pF ߦ⸳ቯߒߚ㧚ࠇᦧ߃ࠍⴕߞߚ㧚৻ᱠߏߣߩ⸘▚඙㑆ߩೋᦼ୯ߣߒߡ㧘ጁ‛ߣᐥ㑆ߩ㕒㔚ኈ㊂ C3 ߦ 0.05ǴC ߩ㔚⩄ࠍਈ߃ߚ㧚ᱠⴕᤨ㑆ߪ60s 㑆ߣߒ㧘ߘߩᓟߪᱠⴕ஗ᱛߔࠆߣߒߚ㧚
3.4╬ଔ࿁〝ߦࠃࠆ⸘▚⚿ᨐ

ᑼ(7)㧘(8)ߦࠃࠆ⸘▚⚿ᨐߩ৻଀ࠍ࿑ 9(a)㨪(c)ߦ␜ߔ㧚࿑ 2ߢߺࠄࠇߚࠃ߁ߥᱠⴕਛ޽ࠆ޿ߪᱠⴕ஗ᱛᓟߦੱ૕㔚૏ߩߎߩࡕ࠺࡞ߢߪ㧘ጁ‛߇ᐥ߆ࠄ㔌ࠇߚߣ߈ C3 ߦ⊒↢ߔࠆ㔚⩄㊂ࠍ઒ቯߔࠆᔅⷐ߇޽ࠆ㧚Pirici ࠄߪ㧘㒠ゞᤨߩੱ૕࡮ᐳᏨ
㑆㧔ធ⸅㕙Ⓧ 0.09m2㧕ߢ⊒↢ߔࠆ㔚⩄㊂ࠍ 2.5ǴC ߣߒߡ޿ࠆ 12)㧚ߎߩ୯ࠍන⚐ߦ㕙ⓍᲧߢ឵▚ߔࠆߣ㧘ጁ‛ߦ⊒↢ߔࠆ㔚⩄㊂ߪ⚂ 0.7ǴC ߣߥࠆ㧚ߒ߆ߒ㧘ߎߩ୯ࠍ↪޿ߡ⸘▚ߔࠆ╓ภ߇ᄌࠊࠆߣ޿߁․ᓽ߇⃻ࠊࠇߚ㧚એਅ㧘⸘▚⚿ᨐߦߺࠄ
ࠇࠆ․ᓽࠍ᜼ߍߡ⠨ኤߔࠆ㧚
3.4.1

R0 ࠍᄌൻߐߖߚ႐ว

࿑ 9(a)ߪ R1 ࠍ 1011ǡߢ࿕ቯߒߡ R0 ࠍᄌൻߐߖߚ႐วߩ⸘
▚⚿ᨐߢ޽ࠆ㧚R0 ߇ዊߐߊߥࠆߣ㧘ᱠⴕਛߩੱ૕㔚૏߇ૐߊߎߣߪታ㓙⊛ߢߪߥ޿㧚ߥߗߥࠄ㧘C2 ߩ㔚࿶߇ 140kV ߣ⸘▚ߥߞߚ㧚R0 ߇ 1012ǡએਅߢߪ㧘ᱠⴕ஗ᱛᓟߩੱ૕㔚૏߇ᷫ⴮ߐࠇࠆ߆ࠄߢ޽ࠆ㧚߽ߒ㧘ታ㓙ߦߘߩࠃ߁ߥ㔚⩄߇⊒↢ߒߚ

ㆊ⒟ߢᱜ߆ࠄ⽶ߦᄌൻߔࠆ⁁ᴫ߇⃻ࠊࠇ㧘R0 ߇ 1011ǡߩߣ߈ߣߒߡ߽㧘ጁ‛߇ᐥ߆ࠄ㔌ࠇࠆㆊ⒟ߢ㔚⩄ߩㅒᵹ12㧕߇⿠ߎ

ߦ⽶㔚࿶ߩ⛘ኻ୯߇ᦨ߽ᄢ߈ߊߥߞߚ㧚ࠅ㧘㑆㓗ߩ⛘✼⠴ജࠍ⿥߃ࠆ㔚࿶߹ߢ㆐ߔࠆߎߣߪߥ޿ߢ޽

࿑ 2 ߩታ᷹଀ߦ߅޿ߡታ㛎ߏߣߦᄌൻߐߖߚ᧦ઙߪጁ‛ߩࠈ߁㧚ߘߎߢ㧘C2 ߩ㔚࿶ߩᅷᒰߥ୯ߣߒߡ 1 ᩴዊߐ޿ 10kV⒳㘃ߛߌߢ޽ࠆ㧚ߎߩታ㛎᧦ઙߩ㆑޿ߦࠃߞߡ㧘࿑ 7 ߩ╬ଔࠍᗐቯߒ㧘⊒↢ߩ㔚⩄㊂ࠍ 0.05ǴC ߦ⸳ቯߒߚ㧚࿁〝ߢ޿߁ߣ R1 ߇ᄌൻߒߚߪߕߢ޽ࠆ㧚߽ߒ㧘R1 ߛߌ߇ᄌ3.3

╬ଔ࿁〝ߦࠃࠆ⸘▚ᣇᴺൻߒߚߩߢ޽ࠇ߫㧘ታ᷹଀ߦߪ R0 ߩᓇ㗀߇⃻ࠊࠇߥ޿ߎߣߦ

࿑ 7 ߦ␜ߔࠃ߁ߦฦㇱߩ㔚࿶ߣ㔚ᵹࠍቯ߼ࠆߣ㧘ࠝ࡯ࡓߩߥࠆ㧚ߒ߆ߒ㧘ጁ‛߿ᐥࠍㅢߒߡߩ㕒㔚᳇ߩṳᵨߪታ㓙ߦ⚻ᴺೣߣࠠ࡞ࡅࡎ࠶ࡈߩᴺೣ߆ࠄ㧘ᰴᑼ(7)ߩ㑐ଥ߇ᚑࠅ┙ߟ㧚㛎ߔࠆߣߎࠈߢ޽ࠅ㧘ߎࠇߪ R0 ߩᚑಽߣߒߡ⠨߃ࠆߴ߈߽ߩ

ߎߎߢ㧘 v 0 ߪ dv 0 dt ࠍ⴫ߔ߽ߩߣߔࠆ㧚߹ߚ㧘ฝ⿷஥ߣᏀ

ߢ޽ࠆ㧚ߔߥࠊߜ㧘ጁ‛ߩ⒳㘃ࠍᄌ߃ߚߎߣߦࠃߞߡታ᷹଀⿷஥ߩ࿁〝ቯᢙߪ╬ߒ޿ߣ⠨߃㧘C1R=C1L=C1㧘C2R=C2L=C2㧘ߩ㔚૏ᄌൻߦߪ R0 ߣ R1 ߩਔᣇߩᓇ㗀߇ᷙ࿷ߒߡ޿ࠆߣ⠨߃

R1R=R1L=R1㧘R2R㧩R2L㧩R2 ߢ޽ࠆߣߔࠆ㧚ࠄࠇࠆߚ߼㧘⸘▚⚿ᨐߣන⚐ߦᲧセߔࠆߎߣ߇ߢ߈ߥ޿㧚ታ

C 0 v0i0C1v1LiLC1v1R

C 2 v 2Rv0i0 R 0iLiRiRv1L  i L R 1v1R  v 2R  i R R 1

½°°
¾°°
¿

᷹଀ߦ߅ߌࠆ R0 ߣ R1 ࠍಽ㔌ߔࠆߎߣ߇੹ᓟߩᬌ⸛ߦ߅ߌࠆ
⺖㗴ߢ޽ࠆ㧚
(7)

C 0 1 R 0 1  2R1 1 v 01

 C0R1v1L

C1 R 11v1R

C1 R 11C 2 R11v2Rv1L  v1R  v 2 Rv0v1Lv0v1Rv2Rv0  C 2 R 11v1Rv2R

½°°°°
¾°°°
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R1 ࠍᄌൻߐߖߚ႐ว

࿑ 9(b)ߪ㧘R0 ࠍ 1011ǡߢ࿕ቯߒߡ R1 ࠍᄌൻߐߖߚ႐วߩ⸘
▚⚿ᨐߢ޽ࠆ㧚R1 ߇ᄢ߈ߊߥࠆߦᓥߞߡੱ૕㔚૏ߩ਄᣹߇✭ᑼ(7)߆ࠄ㔚ᵹߩᄌᢙࠍᶖ෰ߔࠆߣᰴᑼ߇ᓧࠄࠇࠆ㧚v03.4.2

ᘟߦߥߞߚ㧚ߘߩ⚿ᨐ㧘R1 ߩ୯߇ 1012ǡએ਄ߢߪ㧘৻ቯߩᱠⴕᤨ㑆ౝߦ೔㆐ߒᓧࠆੱ૕㔚૏ߩᦨᄢ୯߇ૐߊߥߞߚ㧚࿑ 9(b)ߦ␜ߒߚ C ߩ✭ᘟߥੱ૕㔚૏ᄌൻߩࡄ࠲࡯ࡦߪ㧘࿑
2 ߩਛߢߪ㧘(j)ߩጁ‛ No.10 ߩታ᷹଀߇ᦨ߽㘃ૃߒߡ޿ࠆ㧚(8)ߎߩጁ‛ No.10 ߩ✭๺ᤨ㑆߆ࠄ᳞߼ߚ R ߩ୯ߪታ᷹଀ߩਛߢᦨ߽ᄢ߈ߊ㧘R1 ߦ⋧ᒰߔࠆᛶ᛫߇ᄢ߈߆ߞߚߎߣࠍ␜ໂߒߡ
޿ࠆ㧚৻ᣇߢ㧘࿑ 2 ߩታ᷹଀ߩਛߢ R ߇ᦨ߽ዊߐ޿(a)㧘(e)㧘(g)ߎߩㅪ┙ᓸಽᣇ⒟ᑼߩᢙ୯⸃ࠍ࡞ࡦࠥ࡮ࠢ࠶࠲࡯ᴺࠍ↪޿ߡ⸘▚ߒ㧘ᱠⴕߦ઻߁ੱ૕㔚૏ v0 ߩᤨ㑆ᄌൻࠍ᳞߼ߚ㧚⸘▚ߩᄌൻࡄ࠲࡯ࡦߪ㧘޿ߕࠇ߽ 500V ೨ᓟߩૐ޿୯ߢផ⒖ߒߡ߅ࠅ㧘࿑ 9(b)ߩ D ߩࡄ࠲࡯ࡦߣ㘃ૃߒߡ޿ࠆ㧚ߩೞߺᤨ㑆ߪ 0.1s㧘ᱠⴕㅦᐲߪᲤ⑽ 2 ᱠߣߒߚ㧚߹ߚ㧘ᱠⴕߎࠇࠄߩߎߣ߆ࠄ㧘೨㗄ߢㅀߴߚ R0 ߩᷙ࿷߇ήⷞߢ߈ߥ޿

㐿ᆎ೨ߩ᧦ઙߣߒߡ㧘㔚࿶ v0㧘v1L ߅ࠃ߮ v1R ߩೋᦼ୯ߪ 0V߽ߩߩ㧘࿑ 2 ߩታ᷹଀ߦߪ R1 ߩᓇ㗀߇ᒝߊ⃻ࠊࠇߡ޿ࠆߣ⠨ߣߒߚ㧚߃ࠄࠇࠆ㧚ߎࠇߪ㧘ታ᷹଀ߢጁ‛ߩ⒳㘃ࠍᄌ߃ߚߣ޿߁ߎߣᏀฝߩ⿷ࠍ੤੕ߦ㧝ᱠߕߟㅴ߼ࠆߚ߮ߦ㧘࿑ 7 ߩ࿁〝ߩᏀ߆ࠄ੍߽ᗐߢ߈ࠆ⚿ᨐߢ޽ࠆ㧚ฝࠍ౉ࠇᦧ߃ࠆᔅⷐ߇޽ࠆ㧚ታ㓙ߩ⸘▚਄ߢߪ㧘ࡊࡠࠣ࡜ࡓ

࿑ 9 ߦ␜ߔࠃ߁ߦ㧘R1 ߩ୯߇ 1012ǡએ਄ߩߣ߈㧘ᱠⴕ஗ᱛߩਛߢ㔚࿶ v1L ߣ v1R ߩ୯ࠍ౉ࠇᦧ߃ࠆߎߣߦࠃߞߡᏀฝߩ౉ᓟߩੱ૕㔚૏ߩ⸘▚୯߇⽶ߦᄌൻߒߚ㧚R1 ߪጁ‛ߩᛶ᛫ࠍᗐ

280 (46)

29

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ቯߒߚ߽ߩߢ޽ࠆ߆ࠄ㧘ᵻ㊁ߩ⸃⺑ 13㧕ࠍᒁ↪ߔࠆߣ㧘ߎߩߢ޽ࠆ㧚࿑ 9(b)ߩ႐วߣห᭽㧘R0 ߣ R1 ߩ୯߇ᄢ߈ߊߥࠆߣ

ߎߣߪᰴߩࠃ߁ߦ߽⺑᣿ߢ߈ࠆ㧚ߔߥࠊߜ㧘ጁ‛ߩᛶ᛫߇Ყ

ੱ૕㔚૏ߩ਄᣹߇✭ᘟߦߥࠅ㧘৻ቯߩᱠⴕᤨ㑆ౝߢᲧセߒߚ

12セ⊛ૐ޿႐ว㧔10 ǡએਅ㧕ߪ㧘⊒↢㔚⩄߇ੱ૕ో૕ߦᐢ߇

႐วߩ೔㆐ߒᓧࠆੱ૕㔚૏ߩᦨᄢ୯߇ૐߊߥߞߚ㧚ߞߡੱ૕ߩ㔚૏ࠍ਄ߍࠆ߇㧘㜞޿႐วߦߪ㧘ጁ‛ߣ⿷ߩⵣ߇

R0 ߣ R1 ߇ 1010ǡߩߣ߈ߩ A ߩࡄ࠲࡯ࡦߢߪ㧘ᱠⴕਛߪੱ

㔚᳇ੑ㊀ጀߣߥࠅ㧘ੱ૕㔚૏ߪጁ‛ߩ㔚૏ࠃࠅૐߊߥߞߚߣ

૕㔚૏߇߶ߣࠎߤ 0V ߢ޽ࠆ߇㧘ᱠⴕ஗ᱛᓟߦ⽶ߩᣇะߦᄢ

⠨߃ࠄࠇࠆ㧚

߈ߊߥࠆߣ޿߁࿑ 2(i)㧘(k)ߩታ᷹଀ߦ㘃ૃߒߚ․ᓽ߇ߺࠄࠇ

3.4.3

R0㧘R1 ࠍหᤨߦᄌൻߐߖߚ႐ว࿑ 9(c)ߪ㧘R0 ߣ R1 ߩਔᣇࠍหᤨߦᄌൻߒߚ႐วߩ⸘▚⚿ᨐ
A㧦R0 =11010ǡ
B㧦R0 =11011ǡ
C㧦R0 =11012ǡ
D㧦R0 =11013ǡ
C0 =100pF
C1 =200pF
R1 =11011ǡ

ߚ㧚ߚߛߒ㧘࿑ 2 ߩ✭๺ᤨ㑆߆ࠄ᳞߼ߚߎࠇࠄߩጁ‛ߩ R ߩ୯ߪฦ‫ޘ‬0.81010ǡߣ 1.51011ǡߢ޽ࠅ㧘ᓟ⠪ߩ࿑ 2(k)ߩ႐
วߦߪᔅߕߒ߽ R0 ߣ R1 ߩਔᣇߩ୯߇ዊߐ޿ߣߪ⸒߃ߥ޿㧚ߎߩ࿁〝ࡕ࠺࡞ߢߪ⴫ࠊߖߡ޿ߥ޿೎ߩⷐ⚛ࠍ⠨ᘦߔࠆᔅⷐ߇޽ࠆߣᕁࠊࠇࠆ㧚4.

߹ߣ߼ጁ‛ߩ⒳㘃ࠍᄌ߃ߡᱠⴕਛߩੱ૕Ꮺ㔚㔚૏ࠍ᷹ቯߒ㧘ᱠⴕ஗ᱛᓟߩᷫ⴮ㆊ⒟ߢੱ૕㔚૏߇ᱜ߆ࠄ⽶ߦᄌൻߔࠆߣ޿߁
ታ᷹଀ࠍ␜ߒߚ㧚ߘߒߡ㧘ߎߩᏪ㔚㔚૏ߩ╓ภߩᄌൻߪ㧘ጁ‛߿ᐥߩᓇ㗀ࠍട๧ߒߚ╬ଔ࿁〝ߦࠃߞߡ⺑᣿ߢ߈ࠆߎߣ
ࠍ␜ߒߚ㧚ߐࠄߦ㧘ታ㛎⚿ᨐߦၮߠ޿ߡ࿁〝ቯᢙࠍ᳿ቯߒ㧘⸘▚ߦࠃࠆࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕߞߚߣߎࠈ㧘ታ᷹଀ߦߺࠄ

(a) R1 ࠍ࿕ቯߒߡ㧘R0 ࠍᄌൻߐߖߚ႐ว
(a) R1 is constant and R0 varies.
A㧦R1 =11010ǡ
B㧦R1 =11011ǡ
C㧦R1 =11012ǡ
D㧦R1 =11013ǡ
C0 =100pF
C1 =200pF
R0 =11012ǡ

ࠇߚ⽶ߦᄌൻߔࠆ․ᓽߥߤ߇ౣ⃻ߐࠇߚ㧚ߎߩ⎇ⓥߢߪ㧘ጁ‛߿ᐥߩᓇ㗀ࠍട๧ߒߚ◲නߥ╬ଔ࿁〝ࠍ↪޿ߡ㧘ᱠⴕᤨߦߺࠄࠇࠆੱ૕㔚૏ߩ╓ภߩᄌൻߩ⺑᣿ࠍ⹜ߺߚ߽ߩߢ޽ࠆ㧚ታ㓙ߩᱠⴕᏪ㔚ߪੱ૕ࠍขࠅᏎߊ๟࿐ߩ‛૕߽฽߼ߚᄙ૕㑆ߩಽᏓቯᢙ⊛ขࠅᛒ޿ࠍᔅⷐߣߔࠆⶄ㔀ߥ⃻⽎ߢ޽ࠆ㧚නߥࠆ╬ଔ࿁〝ߩⶄ㔀ൻߢߪߥߊ㧘ታ᷹୯ߣߩኻᔕߦၮߠ޿ߚቯ㊂⊛ߥ੍᷹ߦ߽૶߃ࠆ⸘▚ࡕ࠺࡞ߦ⊒ዷߐߖࠆߎߣ߇੹ᓟߩ⺖㗴ߢ޽ࠆ㧚ෳ⠨ᢥ₂ዊᨋാੱ, ᧛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) ⪤ᧄ቟ᤘ, ᷰ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) 1910) JIS L 1021 ᢝ‛⹜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, ࡑࠣࡠ࠙ࡅ࡞ᅢቇ␠ (1977)13) ᵻ㊁๺ବ: 㕒㔚᳇ቇળ⹹, 5 (1981) 428
1)(b) R0 ࠍ࿕ቯߒߡ㧘R1 ࠍᄌൻߐߖߚ႐ว(b) R0 is constant and R1 varies.
A㧦R0 =R1 =11010ǡ
B㧦R0 =R1 =11011ǡ
C㧦R0 =R1 =11012ǡ
D㧦R0 =R1 =11013ǡ
C0 =100pF
C1 =200pF(c) R0 ߣ R1 ࠍหᤨߦᄌൻߐߖߚ႐ว
(c) R0 and R1 vary similarly.
࿑ 9 ⸘▚⚿ᨐߩ଀
Fig. 9 Typical computations results.