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Coulomb’s law

ProjectBY DAN CARPENTER AND HARSH PATEL

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!"tro#uct$o" A %os$t$&e c'ar(e $" s%ace w$ll #$rect t'e electr$c )el# awa* +rom t'e

%art$cle w'$le t'e "e(at$&e c'ar(e #$rects t'e electr$c )el# closer to

$ts c'ar(e, 

Coulomb's-law #escr$bes t'e electrostat$c $"teract$o" betwee"electr$call* c'ar(e# %art$cles,

r

r

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Electr$c )el# A ma% o+ t'e electr$c +orce o&er a %art$cular area,

Electr$c )el# $s %ro%ort$o"al to t'e c'ar(e ma("$tu#e- 'owe&er- $t

$s $"#$rectl* %ro%ort$o"al to t'e #$sta"ce betwee" t'e %art$cles  T'$s ca" allow t'e electr$c )el# to a%%roac' $")"$t* $+ t'e #$sta"ce

$s a%%ro.$matel* $s ero

Parallel Plate C

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Electr$c %ote"t$al  T'e %ote"t$al $s eas$er to measure w$t' test$"( eu$%me"t a"# $s

eas$l* trace# bac to t'e electr$c )el#,

Absolute Electr$c Pote"t$al +or S%'er$cal or %o$"t c'ar(e $s , 2"ce we (et t'e %ote"t$al we ca" tae t'e (ra#$e"t o+ "e(at$&e

%ote"t$al ,

 

4u$&er %lot o+ Parallel Plate Ca%ac$tor S$m%le 5oral (eometr* w$t' $"5oresce"ce 60cmas a (rou"#e# co"#uctor $" a" a$r #oma$"- $" t'atmos%'er$c electr$c )el# 71008/m9,

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Proce#ure : arra*s $" matlab

1, C'ar(es o+ eac' %o$"t c'ar(e,

:, Co"ta$"s t'e . %o$"ts a"# t'e * %o$"ts o+ eac' c'ar(e $s s%ace,

 T'e" a mes' (r$# was create# w'$c' stores mult$%le %o$"ts s%rea#out $" t'e restr$cte# %la"e, 7 t'e" %ote"t$al was calculate#9,

Pr$"c$%le o+ su%er %os$t$o" was use# to calculate# t'e .-*com%o"e"ts o+ t'e electr$c +orce t'rou('out t'e mes' restr$cte#%la"e,

Co"tour %lot was create# +or t'e ma("$tu#es o+ t'e %ote"t$al a"#electr$c )el#,

A u$&er %lot was create# +or t'e com%o"e"ts o+ t'e electr$c )el#,

Al(or$t'm was create# to )"# all t'e %o$"ts o+ stat$c eu$l$br$um

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 T'e )&e %o$"t c'ar(es $" s%ace ($&e",

;"C

:"C

<6 "C

:,"C

<: "C

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Results

 T'e electr$c )el# co"tour %lots t'e ma("$tu#e o+ t'e electr$c )el#

w$t' res%ect to e&er* %o$"t create# b* t'e mes' (r$#,

Electric field contour plot of Five Point Charges 

:, "C

<: "C

; "C

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<6 "C

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 T'$s co"tour %lot ma%s t'e ma("$tu#e o+ t'e %ote"t$al t'rou('out'e %la"e t'at $s restr$cte# b* t'e mes'(r$#,

Electric Potential Contour Plot of Five Point Charges

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 T'$s %lot s'ows t'e ma("$tu#e a"# t'e #$rect$o" o+ t'e electr$

)el#,

Electric Field Vector Plot of five point charges

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<6 "C

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 T'e %o$"ts s'ow" are t'e stable eu$l$br$um %o$"ts w'ere t'e

eletr$c )el# $s bala"ce#,

Points for Stable equilibrium

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<6 "C

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