of 42
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^OV]FM]
"glefsoauglrpoysfms.fe" .?8W.
Xoi uefts kc g leh G wfjj bi gietfkeih lctirwlrhs woiri yku mle rigigbir leh uehirstleh.
r
g
8
.
Xofs fs gldeftuhi
Hfrimtfke kc B hui tk ekrto pkji leh hui tk skuto pkjis lri ls sokwe
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^OV]FM]
"glefsoauglrpoysfms.fe" =
B
BB
B
E ]
fe vimtkr ckrg rr
g
8 =>
B
oiri g fs wfto sfde leh r
7 pksftfke vimtkr kc toi tist pkfet wfto rispimt tk toi
pkji.
(ff) Hui tk l blr gldeit 0
(]lgi ls toi mlsi kc ijimtrfm hfpkji fe
ijimtrkstltfms) Fehipiehiet mlsi eivir
ckueh. Ljwlys E leh ] ixfst tkditoir
ls gldeit. ] E
L Bris
Bris
r
B
gg
iquftkrfljjfei
2l rlxfs
lt L (ke toi lxfs) 72
8
>
=r
G
ckr l :: r
lt B (ke toi iqultkrflj) 7
8
>
=r
G
ckr l :: r
Lt Dieirlj pkfet 0
=>
rr
mksG
82B
=
>e
r
sfeG
82B
Bris
Be Br
] E
Bris
7=
>
r8
G
2mks=9.>()g2.>Q(
)g2.>()g>9.>()gL mks=
b )2/h(
G
8B
plrljjij tk toi lxfs kc b ls sokwe fe cfduri. Xoi risujtlet cfijh lt ^ fs, toirickri.
2b
2l BBB
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^OV]FM]
"glefsoauglrpoysfms.fe" 3
7 =>
)2/h(8
G
22 2<
7 =>
h
G92
Xoi hfrimtfke kc tofs cfijh glais le ledji wfto Bl
sumo tolt tle 7 Bb/B
l7 fs stlbji iqufjfbrfug
GB
gB 7 fs uestlbji iqufjfbrfug
ckr sgljj toi hfpkji pirckrgs ]OG lbkut 7 > pksftfke 7 GB sfe 1 7 GB sfe
ckr sgljj, sfe [~
7
GB
Ledujlr criquiemy kc ]OG
7
GB
7X
2
X 7 2GB
oiri 7mg
fc toi hfpkji fs crii tk rktlti
7ofedi
fc toi hfpkji fs ofedih
Ixlgpji 9.
L blr gldeit olvfed l gldeitfm gkgiet kc 8 @/X fs crii tk rktlti fe l okrfzketlj pjlei.
L okrfzketlj gldeitfm cfijh B 7 8 9 X ixfsts fe toi splmi. Cfeh toi wkra hkei fe rktltfed toi
gldeit sjkwjy crkg l hfrimtfke plrljjij tk toi cfijh tk l hfrimtfke 3> crkg toi cfijh.
]kjutfke 0
Xoi wkra hkei by toi ixtirelj ldiet 7 moledi fe pktietflj ieirdy7 (GB mks
2) (GB mks
mks >)
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^OV]FM]
"glefsoauglrpoysfms.fe" 4
72
B
(ff) fts glxfgug afeitfm ieirdy hurfed toi gktfke.
(fff) wfjj ft pirckrg ]OG; ksmfjjltfke; ^irfkhfm gktfke; Tolt fs fts lgpjftuhi;
]kjutfke 0
(f) Lppjy ieirdy mkesirvltfke lt 7 leh 7 6> GB mks + >
7 GB mks 6> + (A.I.)
AI 72
GB Les.
(ff) A.I. wfjj bi glxfgug woiri .I. fs gfefgug. .I. fs gfefgug lt 7 >. Ekw lppjyieirdy mkesirvltfke bitwiie 7 leh 7 >.
gB mks + >
7 gB mks > + (AI)glx
(AI)glx
72
=GB Les.
Xoi A.I. fs glx lt 7 > mle ljsk bi prkvih by tkrqui gitokh. Crkg 7 tk 7 >
toi tkrqui ljwlys lmts ke toi hfpkji fe toi slgi hfrimtfke (oiri ft fs mjkmawfsi) sk ftsA.I. aiips ke femrilsis tfjj 7 >. Biykeh tolt rivirsis fts hfrimtfke leh toie A.I.stlrts himrilsfed
7 > fs toi krfietltfke kc G tk oiri toi glxfgug A.I.
(fff) ]femi fs ekt sgljj. toi gktfke fs ekt ].O.G. but ft fs ksmfjjltkry leh pirfkhfm lgpjftuhi fs .
Ixlgpji 4. L blr gldeit kc glss > d, jiedto 4.> mg, wfhto mg leh oifdot >.9> mg tlais/2 simkehs tkmkgpjiti le ksmfjjltfke fe le ksmfjjltfke gldeitkgitir pjlmih fe l okrfzketlj gldeitfm cfijh kc 29X.(l) Cfeh toi gldeitfm gkgiet kc toi gldeit.
(b) Fc toi gldeit fs put fe toi gldeitkgitir wfto fts >.9> mg ihdi okrfzketlj, wolt wkujh bi
toi tfgi pirfkh;
]kjutfke 0
(l) Xoi gkgiet kc feirtfl kc toi gldeit lbkut toi lxfs kc rktltfke fs
7
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^OV]FM]
"glefsoauglrpoysfms.fe" ?
kr, G 72
2
BX
8 7
22
3
292
s8
)X29(3
g/ad298
7 24 L-g2.
(b) Fe tofs mlsi toi gkgiet kc feirtfl bimkgis
7
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^OV]FM]
"glefsoauglrpoysfms.fe" 6
2.< Crlgi Hipiehiemi kc B
.
(l) Xoi gktfke kc leytofed fs l rijltfvi tirg. L molrdi gly lppilr lt rist by le kbsirvir
(sly K
=r
rhf
oiri r
7 pksftfke vimtkr kc toi tist pkfet w.r.t. h
7 ledji bitwiie h leh r
. Xoi risujtlet B
7 hBYsfed tofs cuehlgietlj ckrgujl wi mle hirfvi toi ixprissfke kc B
hui tk l jked wfri.
2.=.< B
hui tk l strlfdot wfri 0
Hui tk l strlfdot wfri ^\ mlrryfed l murriet f toi B
lt L fs dfvie by toi ckrgujl
B 7r8
>
(sfe
(sfe
2 sfe
),
Bsp
7
2
l=8
f>
(sfe => + sfe =>) B
ris7 2
l=
f8
=l2
f
l2
f= >>>
Ixlgpji .
Cfduri sokws l squlri jkkp glhi crkg l uefckrg wfri. Cfeh toi
gldeitfm cfijh lt toi mietri kc toi squlri fc l blttiry fs mkeeimtih
bitwiie toi pkfetsB leh H ls sokwe fe toi cfduri
]kjutfke 0
Xoi murriet wfjj bi iquljjy hfvfhih lt H. Xoi cfijhs lt toi mietri hui tk toi murriets fe toi wfris
HL leh HMwfjj bi iqulj fe gldeftuhi leh kppksfti fe hfrimtfke. Xoi risujtlet kc toisi twk cfijhswfjj bi zirk. ]fgfjlrjy, toi risujtlet kc toi cfijhs hui tk toi wfrisLB leh MBwfjj bi zirk. Oiemi,
toi eit cfijh lt toi mietri wfjj bi zirk.
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^OV]FM]
"glefsoauglrpoysfms.fe" leh toi
ckrgujl kc B hui tk strlfdot wfri)
r2B >
rB
r
^
Xoi hfrimtfke kc B
lt vlrfkus fs ls sokwe fe toi cfduri. Xoi gldeitfm jfeis kc ckrmi wfjj bi
mkemietrfm mfrmjis lrkueh toi wfri (ls sokwe ilrjfir)
(ff) Fc toi wfri fs fecfeftijy jked but ^ fs ls sokwe fe toi cfduri.
Xoi hfrimtfke kc B
lt vlrfkus pkfets fs ls sokwe fe toi
cfduri. Lt ^
B 7r8
>
r
^
uptk
6>
Ixlgpji
7
l
= >
Les.
lt H 0 Les.
(ff) Ft fs mjilr crkg toi lbkvi skjutfke tolt B 7 > lt pkfet H.
Ixlgpji
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^OV]FM]
"glefsoauglrpoysfms.fe" B2B 3>l l
Bp
7 2 B mks 3> 7 B7l22
>
7
l8
>
`l8
B >p
Les.
Ckr B
, B
27
l2
>
tle 72
>
mks 79
2 B
7 f
l9
2 >
+ `
l9
>
B2
B
wl
lxx
hx
wl
lxx
hx
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^OV]FM]
"glefsoauglrpoysfms.fe"
. je
l
wl Les.
2.=.2 B
hui tk mfrmujlr jkkp
( l) Lt m ietri 0 Hui tk ilmo h ijigiet kc toi jkkp B
lt m fs fewlrhs (fe tofs mlsi).
risB lt m fs .
B 7R2
E> , RM
E 7 Ek. kc tures fe toi jkkp.
7R2
1 7 jiedto kc toi jkkp.
E mle bi crlmtfke
.itm
=
8R
E7
?R
E7
)xR(2
REB
xB
E 7 Ek. kc tures (fetidir)
Hfrimtfke mle bi kbtlfeih by rfdot oleh tougb ruji. murj ykur cfedirs fe toi hfrimtfke kc
toi murriet toie toi hfrimtfke kc toi tougb pkfets fe toi hfrimtfke kc B
lt toi pkfets ke
toi lxfs.
Xoi gldeitfm cfijh lt l pkfet ekt ke toi lxfs fs gltoigltfmljjy hfccfmujt tk mljmujlti. Ti
sokw quljftltfvijy fe cfduri toi gldeitfm cfijh jfeis hui tk l mfrmujlr murriet wofmo wfjj dfvi
skgi fhil kc toi cfijh.
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^OV]FM]
"glefsoauglrpoysfms.fe"
2/=22
2>
x2
RE
)xR(2
RE
ckr x 55 R
7 2
8
>
=
2
x
RE
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^OV]FM]
"glefsoauglrpoysfms.fe"
x
g
8
Gldeitfm hfpkji gkgiet kc toi jkkp
G 7 FER2
G 7EL ckr ley ktoir solpih jkkp.Yeft kc G fs Lgp. g2
.
Yeft kc g (pkji striedto) 7 Lgp. g { fe gldeit G 7 g}
LEG
,
L
7 ueft ekrglj vimtkr ckr toi jkkp.
Xk bi hitirgfeih by rfdot oleh ruji
wofmo fs ljsk usih tk hitirgfei hfrimtfke kc B
ke toi lxfs. Ft fs ljsk crkg
] sfhi tk E sfhi kc toi jkkp.
G
E
]
G
E
]
2.=.8 ]kjiekfh 0
(f) ]kjiekfh mketlfes jlrdi eugbir kc mfrmujlr jkkps wrlppih lrkueh l eke-mkehumtfed myjfe-
hir. (ft gly bi l okjjkw myjfehir kr ft gly bi l skjfh myjfehir)
R
Lxfs kctoi skjiekfh
BB
(ff) Xoi wfehfed kc toi wfri fs uefckrg hfrimtfke kc toi gldeitfm cfijh fs slgi lt ljj pkfets kc
toi lxfs.
(fff) B
ke lxfs (tures sokujh bi viry mjksi tk ilmo ktoirs).
B 72
ef>(mks
< mks
2)
222
2
22
ref
Lt toi iehs B 7 2
ef>
(v) Mkgplrfske bitwiie fhilj leh rilj skjiekfh 0
(l) Fhilj ]kjiekfh Rilj ]kjiekfh
B7 ef>
x
B
mietri kc skjiekfh (hfstlemicrkg mietri)ieh ieh
>ef/2
x
B
/2
x
/2
Ixlgpji .8 g leh hflgitir >.3 g mkesfsts kc l sfedji jlyir kc >> tures kc cfei wfri
mlrryfed l murriet kc 9.> = lgpiri. Cfeh toi gldeitfm cfijh ke toi lxfs lt toi gfhhji leh lt
toi iehs kc toi skjiekfh. (Dfvie>7 8 4
gL
sS
).
]kjutfke 0 B 7 2
ef Qmks< mks2W
e 78.>
>>7 29>> pir gitir
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^OV]FM]
"glefsoauglrpoysfms.fe"
8/12/2019 Magnetic Effect of Current Theory_E
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^OV]FM]
"glefsoauglrpoysfms.fe" hB
(hB
Ysis 0 2.8.< Xk cfeh kut gldeitfm cfijh hui tk fecfefti murriet mlrryfed wfri
f
R ^ R
B
By B.].J. B
wfjj olvi mfrmujlr jfeis. h fs ljsk tlaie tlediet tk toi mfrmji.
hB 7 h.B 7 > sk B h 7 B 2R ( B 7 mkest.)Ekw by lgpiris jlw 0
B 2R 7>
B 7R2
f>
2.8.2. Okjjkw murriet mlrryfed fecfeftijy jked myjfehir 0
( fs uefckrgjy hfstrfbutih ke toi wokji mfrmugciriemi)
r
R
Ek murriet
(f) ckr r 5 R
By syggitry toi lgpirfle jkkp fs l mfrmji.
hB 7 hB 7 >
7 r2
>
hB B 7 mkest. B 7r2
>
(ff) r : R
7
hB 7 hB7 B(2r) 7 > B
fe7 >
Drlpo
r7R
>
2 R
B
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^OV]FM]
"glefsoauglrpoysfms.fe" 2>
2.8.= ]kjfh fecfefti murriet mlrryfed myjfehir 0
Lssugi murriet fs uefckrgjy hfstrfbutih ke toi wokji mrkss simtfke lril
R
murriet hiesfty @ 7 2R
Mlsi (F) 0 r R
r
tlai le lgpirfle jkkp fesfhi toi myjfehir. By syggitry ft sokujh
bi l mfrmji woksi mietri fs ke toi lxfs kc myjfehir leh fts lxfsljsk mkfemfhis wfto toi myjfehir lxfs ke toi jkkp.
hB 7 hB 7 hB 7 B . 2r 7 22> rR
B 72
@r
R2
r >2
>
B
7
2
r@>
Mlsi (FF) 0 r R
h.B 7 hB 7 hB 7 B . (2r) 7> .
B 7r2
>
ljsk B
r2
>
)r@( 7
r2R@ 2
>
)r@(r2
RB
2
2>
r
r 7 R
B r
2 r
B
B r
Ixlgpji leh toikutir soijj mlrrfis le iqulj murriet feslgihfrimtfke. Cfeh toi gldeitfm cfijh lt l hfstlemi x crkg
toi lxfs woiri (l) x : l, (b) l : x : b (m) b : x : m leh (h) x 5 m. Lssugi tolt toi murriet
hiesfty fs uefckrg fe toi feeir wfri leh ljsk uefckrg fe toi kutir soijj. QOMS Gkhfcfih ]R ]frW
]kjutfke 0
(l) (b) (m) (h)L mrkss-simtfke kc toi mlbji fs sokwe fe cfduri. Hrlw l mfrmji kc rlhfus x wfto toi mietri lt toi
lxfs kc toi mlbji. Xoi plrts l, b, m leh h kc toi cfduri mkrrispkeh tk toi ckur plrts kc toi prkbjig.
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^OV]FM]
"glefsoauglrpoysfms.fe" 2
sk tolt
2>
lf
.x2 7 22> xl
f .
Lgpiris jlw
fh.B >
dfvis
B.2x 72
2>>
l
xfkr, B 7
2
>>
l2
xf
.
Xoi hfrimtfke wfjj bi ljked toi tlediet tk toi mfrmji.
(b) Xoi murriet iemjksih wftofe toi mfrmji fe plrt b fs f>
sk tolt
B 2x 7>
f>
kr, B 7x2
f>>
.
(m) Xoi lril kc mrkss-simtfke kc toi kutir soijj fsm2 b2. Xoi lril kc mrkss-simtfke kc toikutir soijjwftofe toi mfrmji fe plrt m kc toi cfduri fs x2 b2.
Xous, toi murriet torkudo tofs plrt fs)bm(
)bx(f22
22>
. Xofs fs fe toi slgihfrimtfke tk toi
murriet f>
fe toi feeir wfri. Xous, toi eit murriet iemjksih by toi mfrmji fs
feit
7 f>
+22
22>
bm
)bx(f
7
22
222>
bm
)b2xm(f
.
Crkg Lgpiris jlw,
B 2x 7 22
222>
bm
)b2xm(f
kr, B 7
)bm(x2
)b2xm(f22
222>>
(h) Xoi eit murriet iemjksih by toi mfrmji fe plrt h kc toi cfduri fs2f>
leh oiemi
B 2x 7>
2f>
kr, B 7x
f>>
-.
Ixlgpji
pirpiehfmujlr tk L^ leh tolt hui tk toi strfp M fs
BM
pirpiehfmujlr tk M^. Xoi risujtlet kc toisi twk fs plrljjij tk toi wfhto LM kc toi soiit. Xoi
cfijh hui tk toi wokji soiit wfjj ljsk bi fe tofs hfrimtfke. ]uppksi tofs cfijh ols gldeftuhi B.
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^OV]FM]
"glefsoauglrpoysfms.fe" 22
^
x
Bl
BmML
Khj hj
B
B ^
x
x
Xoi cfijh ke toi kppksfti sfhi kc toi soiit lt toi slgi hfstlemi wfjj ljsk bi B but fe kppksfti
hfrimtfke. Lppjyfed Lgpiris jlw tk toi rimtledji sokwe fe cfduri.
2B 7> kr, B 7
2
.
Ekti tolt ft fs fehipiehiet kc y.
Ixlgpji
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^OV]FM]
"glefsoauglrpoysfms.fe" 2=
Ixlgpji .? ( a=`2f= ) g/s2
=.< Gktfke kc molrdih plrtfmjis uehir toi iccimt kc gldeitfm
ckrmi
^lrtfmji rijilsih fc v 7 > toie cg
7 >
plrtfmji wfjj riglfe lt rist
B||S
oiri 7 > kr 7
Cg
7 > >l
S
7 mkest.
plrtfmji wfjj gkvi fe l strlfdot jfei wfto mkestlet vijkmfty
Feftflj vijkmfty Bu
leh B
7 uefckrg
MC
u B
x
y
Fe tofs mlsi B fs fe z hfrimtfke sk toi gldeitfm ckrmi fe z-hfrimtfke wfjj bi zirk
BCg
.
Ekw toiri fs ek feftflj vijkmfty fe z-hfrimtfke.
plrtfmji wfjj ljwlys gkvi fe xy pjlei.
vijkmfty vimtkr fs ljwlys B Cg 7 quB 7 mkestlet
ekw quB 7R
gu2 R 7
qB
gu7 mkestlet.
Xoi plrtfmji gkvis fe l murvih plto woksi rlhfus kc murvlturi fs slgi iviry woiri, sumo
murvi fe l pjlei fs kejy l mfrmji.
plto kc toi plrtfmji fs mfrmujlr.
R 7qB
gu7
qB
p7
qB
ga2
oiri p 7 jfeilr gkgietug 1 a 7 afeitfm ieirdy
ekw v 7R 7g
qB7
X
27 2c
Xfgi pirfkh X 7 2g/qBcriquiemy c 7 qB/2g
Ekti 0
, c, X lri fehipiehiet kc vijkmfty.
Ixlgpji 2>. L prktke (p),-plrtfmji leh hiutirke (H) lri gkvfed fe mfrmujlr pltos wfto slgi afeitfm ieirdfisfe toi slgi gldeitfm cfijh. Cfeh toi rltfk kc toifr rlhff leh tfgi pirfkhs. (Eidjimt fetirlmtfke
bitwiie plrtfmjis).
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^OV]FM]
"glefsoauglrpoysfms.fe" 28
]kjutfke 0 R 7qB
gA2
Rp
0 R
0 RH
7qB
gA2.20
qB2
gA8.20
qB
gA27 < 0 < 0 2
X 7 2g/qB
Xp 0 X 0 XH 7 qBg2 0
qB2g82 0
qBg22 7 < 0 2 0 2 Les.
Ixlgpji 2B7>
h
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^OV]FM]
"glefsoauglrpoysfms.fe" 29
]kjutfke 0
(f) h 5qB
gugiles h 5 R
t 72
X7
qB
g
M
u
h
R
(ff) sfe 7Rh
7 sfe<
R
h M
u
M
t 7 t 7qB
gsfe<
R
h
Ixlgpji 28.
x x
xxx
x
q, g h
wljj
(>, >)
y
x
vB
Tolt sokujh bi toi spiih kc molrdih plrtfmji sk tolt ft mlet mkjjfhi wfto toi uppir wljj; Ljsk cfeh
toi mkkrhfelti kc toi pkfet woiri toi plrtfmji strfais toi jkwir pjlti fe toi jfgftfed mlsi kc vijkm-
fty.
]kjutfke 0
(f) Xoi plto kc toi plrtfmji wfjj bi mfrmujlr jlrdir toi vijkmfty, jlrdir wfjj bi toi rlhfus.
Ckr plrtfmji ekt tk s
strfai R : h
qB
gv: h v :
g
qBh.
v
M= M2 M, >)2h
= .2 Oijfmlj plto 0
Fc toi vijkmfty kc toi molrdi fs ekt pirpiehfmujlr tk toi gldeitfm cfijh, wi mle brila toi vijkmfty fe
twk mkgpkeiets v||, plrljjij tk toi cfijh leh v
, pirpiehfmujlr tk toi cfijh. Xoi mkgpkeiets v
||
riglfes uemoledih ls toi ckrmi Bvq
fs pirpiehfmujlr tk ft. Fe toi pjlei pirpiehfmujlr tk toi cfijh,
toi plrtfmji trlmis l mfrmji kc rlhfus r 7qB
gv ls dfvie by iqultfke. Xoi risujtlet plto fs oijfx.
Mkgpjiti leljysfs 0
Jit l plrtfmji olvi feftflj vijkmfty fe toi pjlei kc toi plpir leh l mkestlet leh uefckrg gldeitfm
cfijh ljsk fe toi pjlei kc toi plpir.
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^OV]FM]
"glefsoauglrpoysfms.fe" 23
v
B
vsfe
vmks
B
L, l
x7 >, v
x7 mkestlet 7 v mks, x 7 (v mks)t
Fe y-z pjlei 0
y
vsfe vsfe
m+z z
7 t
Crkg cfduri ft fs mjilr tolt
y 7 R sfe, vy7 v sfe mks
z 7 (R R mks)v
z7 v sfe sfe
lmmijirltfke tkwlrhs mietri 7 (vsfe)2/R 72R l
y7 2R sfe, l
z7 2R mks
Lt ley tfgi 0 toi pksftfke vimtkr kc toi plrtfmji
(kr fts hfspjlmigiet w.r.t. feftflj pksftfke)
az`yfxr , x,y,z ljrilhy ckueh
vijkmfty av`vfvv zyx
, vx, v
y, v
zljrilhy ckueh
al`lfll zyx
, lx, l
y,l
zljrilhy ckueh
Rlhfus q(v sfe)B 7R
)sfev(g 2 R 7
qB
sfegv
7R
sfev 7
g
qB7
X
27 2c.
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^OV]FM]
"glefsoauglrpoysfms.fe" 24
=.= Molrdih ^lrtfmji fe B&I
Toie l molrdih plrtfmji gkvis wfto vijkmfty S
fe le ijimtrfm cfijh I
leh gldeitfm cfijh B
, toie.
Eit ckrmi ixpirfiemih by ft fs dfvie by ckjjkwfed iqultfke.
)BxS(qIqC
Mkgbfeih ckrmi fs aekwe ls Jkrietz ckrmi.
v||B||I I B v
Fe lbkvi sftultfke plrtfmji plssis uehivfltih but fts vijkmfty wfjj moledi hui tk ijimtrfm cfijh.
Gldeitfm ckrmi ke ft 7 >.
M lsi (f ) 0
B||I
leh uefckrg >, ( I
leh B
lri mkestlet leh uefckrg)
S>
I, B+q
x
z
y
S>S sfe>
S mks> I, B
x
fe x 0 Cx 7 qI, l
x7
g
qI, v
x7 v
>mks + l
xt, x 7 v
>t +
2
qv> sfe B 7 g(v> sfe )2
/R
R 7qB
sfegv > ,
7R
sfev> 7
g
qB7
X
27 2c
r
7 {(S>
mks)t +2
f
+ (S> sfe) mkst `
+ S> sfe sfet )a
(
l
7g
qIf +2 RQsfe ` mks aW
8/12/2019 Magnetic Effect of Current Theory_E
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^OV]FM]
"glefsoauglrpoysfms.fe" 2?
Ixlgpji 29.
L jked, strlfdot wfri mlrrfis l murriet f. L plrtfmji olvfed l pksftfvi molrdi q leh glss g aipt lt
l hfstlemi x>
crkg toi wfri fs prk`imtih tkwlrhs ft wfto l spiih v ls sokwe fe cfduri. Cfeh toi
gfefgug siplrltfke bitwiie toi wfri leh toi plrtfmji.
]kjutfke 0
Jit toi plrtfmji bi feftfljjy lt ^ (cfduri). Xlai toi wfri ls toi V-
lxfs leh toi ckkt kc pirpiehfmujlr crkg ^ tk toi wfri ls toikrfdfe. Xlai toi jfei K^ ls toi _-lxfs. Ti olvi, K^ 7 x
>. Xoi
gldeitfm cfijh B lt ley pkfet tk toi rfdot kc toi wfri fs ljked toi
pksftfviP-lxfs. Xoi gldeitfm ckrmi ke toi plrtfmji fs, toirickri,
fe toi _V pjlei. Ls toiri fs ek feftflj vijkmfty ljked toi P-lxfs,
toi gktfke wfjj bi fe toi _V pjlei. Ljsk, fts spiih riglfes
uemoledih. Ls toi gldeitfm cfijh fs ekt uefckrg, toi plrtfmji
hkis ekt dk ljked l mfrmji.
Xoi ckrmi lt tfgi t fs BvqC
7 q( f
vx+ `
vy)
a
x2
f>
7 xqv`
x2
f>
+ f
qv
y x2
f>
.
Xous lx7
g
Cx7
g2
qf>
x
v y7
x
v y....(f)
woiri 7g2
qf>
.
Ljsk, lx
7ht
hv x7
hx
hv x
ht
hx7
hx
hvv xx....(ff)
Ls, vx
2 + vy
2 7 v2,
dfvfed vxhv
x7 v
yhv
y. .....(fff)
Crkg (f), (ff) leh (fff),
x
v
hx
hvv yyy
kr,
yhv
x
hx
Feftfljjy x 7 x>
leh vy7 >. Lt gfefgug siplrltfke crkg toi wfri, v
x7 > sk tolt v
y7 v.
Xous x
>x
v
>
y
hv
x
hx
kr, je>x
x7
v
kr, x 7 x>
iv/ 7 x>
qf
gv2
>i
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^OV]FM]
"glefsoauglrpoysfms.fe" 26
Ixlgpji 23.
Le ijimtrke fs rijilsih crkg toi krfdfe lt l pjlmi woiri
l uefckrg ijimtrfm cfijh I leh l uefckrg gldeitfm cfijh B
ixfst ljked toi eidltfvi V-lxfs leh toi eidltfvi P-lxfs
rispimtfvijy. Cfeh toi hfspjlmigiet kc toi ijimtrke ljked
toi V-lxfs woie fts vijkmfty bimkgis pirpiehfmujlr tk
toi ijimtrfm cfijh ckr toi cfrst tfgi.
u
CI
V
B
x
]kjutfke 0Jit us tlai lxis ls sokwe fe cfduri. Lmmkrhfed tk toi rfdot-olehih systig, toi P-lxfs fs upwlrh
fe toi cfduri leh oiemi toi gldeitfm cfijh fs sokwe hkwewlrhs. Lt ley tfgi, toi vijkmfty kc toi
ijimtrke gly bi wrfttie ls
`ufuu yx
Xoi ijimtrfm leh gldeitfm cfijhs gly bi wrfttie ls
`II
leh aBB
rispimtfvijy. Xoi ckrmi ke toi ijimtrke fs
)BuI(iC
7 )`ufu(iB`iI xy
Xous, Cx7 iu
yB
leh Cy7 i(I u
xB).
Xoi mkgpkeiets kc toi lmmijirltfke lri
yx
x ug
iB
ht
hul ....(f)
leh )BuI(gi
ht
hul xyy . ....(ff)
Ti olvi,
2
y2
ht
uh7
g
iB
ht
hux7
g
iB.
g
iBu
y 7 2 u
y
woiri 7g
iB....(fff)
Xofs iqultfke fs sfgfjlr tk tolt ckr l sfgpji olrgkefm gktfke. Xous,
uy7 L sfe (t +) .....(fv)
leh oiemi,ht
huy7 L mks (t +) ....(v)
Lt t 7 >, uy7 > leh
ht
huy7
ht
Cy7
g
iI.
^uttfed fe (fv) leh (v),
7 > leh L 7g
iI
B
I.
Xous, uy
7B
Isfet.
Xoi plto kc toi ijimtrke wfjj bi pirpiehfmujlr tk toi V-lxfs woie uy7 >. Xofs wfjj bi toi mlsi ckr
toi cfrst tfgi lt t woiri
sfet 7 >
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^OV]FM]
"glefsoauglrpoysfms.fe" =>
kr, t 7
kr, t 7
7iB
g
Ljsk, uy7
ht
hy7
B
Isfet
kr, tsfeB
Ihy
y
>
ht
kr, y 7B
I(< mkst).
Lt t 7
, y 7
B
I2)mks
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^OV]FM]
"glefsoauglrpoysfms.fe" =2
]kj. (l) Xoi ckrmi ke toi wfri hui tk toi gldeitfm cfijh fs
BfC
kr, C 7 fyB
Ft lmts tkwlrhs rfdot tfe toi dfvie cfduri. Fc toi wfri hkis ekt sjfhi ke toi rlfjs, toi ckrmi kc crfmtfke
by toi rlfjs sokujh bi iqulj tk C. Fc>
bi toi gfefgug mkiccfmfiet kc crfmtfke wofmo mle priviet
sjfhfed, tofs ckrmi fs ljsk iqulj tk >
gd. Xous,
>
gd 7 fyB
kr, >
7gd
fyB
(b) Fc toi crfmtfke mkiccfmfiet fs72
>7
gd2
fyB, toi wfri wfjj sjfhi tkwlrhs rfdot. Xoi crfmtfkelj ckrmi by
toi rlfjs fs
c 7gd 72
fyBtkwlrhs jict.
Xoi risujtlet ckrmi fs fyB 2
fyB7
2
fyBtkwlrhs rfdot. Xoi lmmijirltfke wfjj bi l 7
g2
fyB. Xoi wfri
wfjj sjfhi tkwlrhs rfdot wfto tofs lmmijirltfke.
Ixlgpji 26.
Fe toi cfduri sokwe l sigfmfrmujlr wfri fs pjlmih fe l uefckrg
B
hfrimtih tkwlrh rfdot. Cfeh toi risujtlet gldeitfm ckrmi leh
tkrqui ke ft.
R
\^
B
]kjutfke 0 Xoi wfri fs iqufvljiet tk
2R
B
7 >
Cris
7 > Les.
ckrmis ke fehfvfhulj plrts lri glraih fe toi cfduri by leh .
By syggitry toifr wfjj bi plfr kc ckrmis ckrgfed mkupjis.
mksR2).6>sfe(B)Rh(f2/
>
\^
x
y
B2
Rf 2
)`
(B2
Rf 2
Les.
Ixlgpji =>.
Cfeh toi risujtlet gldeitfm ckrmi leh tkrqui ke toi jkkp.
R
B
]kjutfke 0
>Cris , ( jkkp )
leh )`(BRf 2
usfed toi lbkvi gitokh
Ixlgpji =
pkfet lbkut
^ 7
>
> sfeRW6>sfeB)Rh(fQ
hC hC
^ R
7 2FBR2 Les.
Ixlgpji =2.
^rkvi tolt gldeitfm ckrmi pir ueft jiedto ke ilmo kc toi fecfeftijy
jked wfri hui tk ilmo ktoir fs >
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^OV]FM]
"glefsoauglrpoysfms.fe" =8
Ixlgpji ==.
Cfeh toi gldeitfm ckrmi ke toi jkkp ^\R] hui tk toi jkkp wfri.
]kjutfke 0
Cris
7l2
2
l )f( + )f
(l)l2(2
2
7 )f(8
2
l
l
l
\
]
y
x
8. XKR\YI KE L MYRRIEX JKK^ 0Toie l murriet-mlrryfed mkfj fs pjlmih fe l uefckrg gldeitfm cfijh toi eit ckrmi ke ft fs ljwlys zirk. Okwivir,
ls fts hfcciriet plrts ixpirfiemi ckrmis fe hfcciriet hfrimtfkes sk toi jkkp gly ixpirfiemi l tkrqui (kr mkupji)
hipiehfed ke toi krfietltfke kc toi jkkp leh toi lxfs kc rktltfke. Ckr tofs, mkesfhir l rimtledujlr mkfj fe l
uefckrg cfijh B wofmo fs crii tk rktlti lbkut l virtfmlj lxfs ^\ leh ekrglj tk toi pjlei kc toi mkfj glafed leledjiwfto toi cfijh hfrimtfke ls sokwe fe cfduri (L).
B
C
L
^
b
J
C
M
K
B
H \
F
C
E ]
Lxfs kc rktltfke(L)
Xoi lrgs LB leh MH wfjj ixpirfiemi ckrmis B(EF)b virtfmljjy up leh hkwe rispimtfvijy. Xoisi twk ckrmis
tkditoir wfjj dfvi zirk eit ckrmi leh zirk tkrqui (ls lri mkjjfeilr wfto lxfs kc rktltfke), sk wfjj olvi ek iccimt
ke toi gktfke kc toi mkfj.
Ekw toi ckrmis ke toi lrgs LM leh BH wfjj bi BFEJ fe toi hfrimtfke kut kc toi pldi leh fetk toi pldi
rispimtfvijy, risujtfed fe zirk eit ckrmi, but le letfmjkmawfsi mkupji kc vljui
7 C Lrg 7 BFEJ (b sfe)f.i. 7 BFL sfe wfto L 7 EJb .............(f)
Ekw triltfed toi murrietmlrryfed mkfj ls l hfpkji kc gkgiet LG
Iqe. (f) mle bi wrfttie fe vimtkr ckrg ls
BG
Qwfto eLELG
.........(ff)W
Xofs fs toi riqufrih risujt leh crkg tofs ft fs mjilr tolt 0
() woie sfe7 gfe 7 >, f.i.,7 >, f.i. f.i., toi pjlei kc toi mkfj fspirpiehfmujlr tk gldeitfm cfijh f.i. ekrglj tk toi mkfj fs mkjjfeilr wfto toi cfijh Qcfd. (L) leh (M)W
(2) Xkrqui wfjj bi glxfgug (7 BFEL) woie sfe 7 glx 7 f.i. toi pjlei kc toi mkfj fsplrljjij tk toi cfijh f.i. ekrglj tk toi mkfj fs pirpiehfmujlr tk toi cfijh. Qcfd.(B)W.
(=) By leljkdy wfto hfijimtrfm kr gldeitfm hfpkji fe l cfijh, fe mlsi kc murrietmlrryfed fe l cfijh.
Y 7 BG
wfto C 7 hr
hY
leh T 7 GB(< mks)
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^OV]FM]
"glefsoauglrpoysfms.fe" =9
Xoi vljuis kc Y leh T ckr hfcciriet krfietltfkes kc toi mkfj fe toi cfijh lri sokwe fe cfd.
GH
L
M
B
B
L
H
G
B
M
BG
M
B
H
L
B
G
7 > (G fs plrljjij tk B)
7 > 7 gfeT 7 > 7 gfe
Y 7 GB 7 gfe]tlbji iqufjfbrfug
(L)
7 6> (G fs tk B)
7 GB 7 glxT 7 GB
Y 7 >Ek iqufjfbrfug
(B)
7 (G fs letfplrljjij tk B)
7 >T 7 2GB 7 glx
Y 7 GB 7 glxYestlbji iqufjfbrfug
(M)
(8) Festrugiets sumo ls ijimtrfm gktkr, gkvfed mkfj dljvlekgitir leh tlediet dljvlekgitirs itm. lri
blsih ke toi clmt tolt l murrietmlrryfed mkfj fe l uefckrg gldeitfm cfijh ixpirfiemis l tkrqui (kr
mkupji).
Ixlgpji =8.
L jkkp wfto murriet F fs fe toi cfijh kc l jked strlfdot wfri wfto murriet F>.
Xoi pjlei kc toi jkkp fs pirpiehfmujlr tk toi strlfdot wfri. Cfeh tkrqui
lmtfed ke toi jkkp.2
l b
]kjutfke 0l b
K
hrmietri jfeir
hh
h
h s
7 (rh hr) (fewlrhs)
h G
7 (rhhr) (fewlrhs)
r2B >>
(tledietflj mjkmawfsi)
h 7
2
hrh|BGh| >>
(tkwlrhs mietri)
7
b
lmksh
7
2
>>
b
lhrhmks
7
sfe)lb(>>(tk toi jict) Les.
9. XIRRI]XRFLJ GLDEIXF]G ILRXO] GLDEIXF]G 09.< Fetrkhumtfke 0
Xoi fhil tolt ilrto fs gldeitfsih wls cfrst suddistih tkwlrhs toi ieh kc toi sfxtiieto mietury by Hr
Tfjjflg Dfjbirt. Xoi krfdfe kc ilrtos gldeitfsg fs stfjj l gltir kc mke`imturi lgked smfietfsts but ft fs
ldriih upke tolt toi ilrto biolvis ls l gldeitfm hfpkji femjfeih lt l sgljj ledji (
8/12/2019 Magnetic Effect of Current Theory_E
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^OV]FM]
"glefsoauglrpoysfms.fe" =3
cfduri wofmo lri plrljjij tk toi ilrtos surclmi eilr toi iqultkr leh pirpiehfmujlr tk ft eilr toi pkjis.
Tofji hfsmussfed gldeitfsg kc toi ilrto kei sokujh aiip fe gfeh tolt0
Gid.Iqu
ltkr
]O]
EO]
Ekrto
]kuto
]
E
7>
B 7B
B 7>
O
F
S
7>
B 7>
B 7BO
S
F
Gld.Lxfs
Dikd.
Lxfs
(l) Xoi gldeitfm girfhfle lt l pjlmi fs ekt l jfei but l virtfmlj pjlei plssfed torkudo toi lxfs kc
l criijy suspiehih gldeit, f.i., ft fs l pjlei wofmo mketlfes toi pjlmi leh toi gldeitfm lxfs.
(b) Xoi dikdrlpofmlj girfhfle lt l pjlmi fs l virtfmlj pjlei wofmo plssis torkudo toi jfei `kfefed
toi dikdrlpofmlj ekrto leh skuto, f.i., ft fs l pjlei wofmo mketlfes toi pjlmi leh ilrtos lxfs kc
rktltfke, f.i., dikdrlpofmlj lxfs.
(m) Xoi gldeitfm Iqultkr fs l drilt mfrmji (l mfrmji wfto toi mietri lt ilrtos mietri) ke ilrtos
surclmi wofmo fs pirpiehfmujlr tk toi gldeitfm lxfs. Xoi gldeitfm iqultkr plssfed torkudo
Xrfvlehrug fe ]kuto Fehfl hfvfhis toi ilrto fetk twk oigfspoiris. Xoi oigfspoiri mketlfefed
skuto pkjlrfty kc ilrtos gldeitfsg fs mljjih toi ekrtoire oigfspoiri (EO]) wofji toi ktoir, toi
skutoire oigfspoiri (]O]).
(h) Xoi gldeitfm cfijh kc ilrto fs ekt mkestlet leh moledis frridujlrjy crkg pjlmi tk pjlmi ke toi
surclmi kc toi ilrto leh ivie lt l dfvie pjlmi ft vlrfis wfto tfgi tkk.
9.2 Ijigiets kc toi Ilrtos Gldeitfsg 0Xoi gldeitfsg kc ilrto fs mkgpjitijy spimfcfih by toi ckjjkwfed torii plrlgitirs mljjih ijigiets kc
ilrtos gldeitfsg 0
(l) Slrfltfke kr Himjfeltfke 0Lt l dfvie pjlmi toi ledji bitwiie toi dikdrlpofmlj girfhfle lehtoi gldeitfm girfhfle fs mljjih himjfeltfke, f.i., lt l dfvie pjlmi ft fs toi ledji bitwiie toi
dikdrlpofmlj ekrto-skuto hfrimtfke leh toi hfrimtfke fehfmltih by l gldeitfm mkgplss eiihji,
Himjfeltfke lt l pjlmi fs ixprissih lt I kr T hipiehfed upke woitoir toi ekrto pkji kc toimkgplss eiihji jfis tk toi ilst (rfdot) kr tk toi wist (jict) kc toi dikdrlpofmlj ekrto-skuto hfrim-
tfke. Xoi himjfeltfke lt Jkehke fs T giles tolt lt Jkehke toi ekrto pkji kc l mkgplss
eiihji pkfets T, f.i., jict kc toi dikdrlpofmlj ekrto.
DG
GG
(L)
Himjfeltfke 7
IT
IT
]
E
(B)
(b) Femjfeltfke kr Ledji kc Hfp 0Ft fs toi ledji wofmo toi hfrimtfke kc risujtlet fetiesfty kc ilrtosgldeitfm cfijh subtiehs wfto okrfzketlj jfei fe gldeitfm girfhfle lt toi dfvie pjlmi. Lmtuljjy ft fs
toi ledji wofmo toi lxfs kc l criijy suspiehih gldeit (up kr hkwe) subtiehs wfto toi okrfzketlj
fe gldeitfm girfhfle lt l dfvie pjlmi.Oiri, ft fs wkrtoy tk ekti tolt ls toi ekrtoire oigfspoiri mketlfes skuto pkjlrfty kc ilrtos
gldeitfsg, fe ft toi ekrto pkji kc l criijy suspiehih gldeit (kr pfvktih mkgplss eiihji) wfjj hfp
hkwewlrhs, f.i., tkwlrhs toi ilrto wofji toi kppksfti wfjj tlai pjlmi fe toi skutoire oigfspoiri.
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^OV]FM]
"glefsoauglrpoysfms.fe" =4
BS
BO
BF
Gldeitfm girfhfle
(L)
Hfp 7
Gldeitfm girfhfle
Lxfsk
clcri
ijy
suspi
ehihg
ldeit
(B)
Okrfzketlj jfei
Ledji kc hfp lt l pjlmi fs gilsurih by toi festrugiet mljjih Hfp-Mfrmji fe wofmo l gldeitfm
eiihji fs crii tk rktlti fe l virtfmlj pjlei wofmo mle bi sit fe ley virtfmlj hfrimtfke. Ledji kc hfp
lt Hijof fs 82.
(m) Okrfzketlj Mkgpkeiet kc Ilrtos Gldeitfm Cfijh BO
0 Lt l dfvie pjlmi ft fs hicfeih ls toi
mkgpkeiet kc ilrtos gldeitfm cfijh ljked toi okrfzketlj fe toi gldeitfm girfhfle. Ft fs ripri-
sietih by BO
leh fs gilsurih wfto toi oijp kc l vfbrltfke krhicjimtfke gldeitkgitir. Lt
Hijof toi okrfzketlj mkgpkeiet kc toi ilrtos gldeitfm cfijh fs =9X, f.i., >.=9 D.
Fc lt l pjlmi gldeitfm cfijh kc ilrto fs BFleh ledji kc hfp, toie fe lmmkrhlemi wfto cfduri (l).B
O7 B
Fmks leh B
v7 B
Fsfe ....(
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^OV]FM]
"glefsoauglrpoysfms.fe" =?
^rkbjig 2. L blr gldeit ols l pkji striedto kc =.3 L-g leh gldeitfm jiedto ? mg. Cfeh toi gldeitfm cfijh
lt (l) l pkfet ke toi lxfs lt l hfstlemi kc 3 mg crkg toi mietri tkwlrhs toi ekrto pkji leh
(b) l pkfet ke toi pirpiehfmujlr bfsimtkr lt toi slgi hfstlemi.
Leswir 0 (l) ?.3 8 X 1 (b) 4.4 9 X.
]kjutfke 0
G 7 =.3 ? 2 L.g2
(l) B 7
8
> .222 )lr(
Gr2
7 ?.3 8 X.X.
(b) B 7
8
>. 2/=22 )lr(
G
7 4.4 9 X
^rkbjig =.
L jkkp fe toi solpi kc le iqufjltirlj trfledji kc sfhi l mlrrfis l
murriet ls sokwe fe toi cfduri. Cfeh kut toi gldeitfm cfijh lttoi mietri M kc toi trfledji. M
\
R
^Leswir 0
l2
f6 >
]kjutfke 0 B 7 Bsfe3>(sfe
7l2
f6 >
^rkbjig 8.
Xwk jked wfris lri aipt ljked x leh y lxis toiy mlrry murriets&rispimtfvijy fe +vi x leh +vi
y hfrimtfkes rispimtfvijy. Cfeh B
lt l pkfet (>, >, h).
Leswir 0h2
>
)`f(
]kjutfke 02< BBB
7
2
>
h
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8/12/2019 Magnetic Effect of Current Theory_E
39/42
^OV]FM]
"glefsoauglrpoysfms.fe" =6
^rkbjig 9.
Cfeh B lt mietri M fe toi ckjjkwfed mlsis 0
(f) R
M(ff)
R
M
(fff)
R
M(fv)
R
M
l
b
(v)
M l
b
(vf) M
R
(vff)M
R
(vfff)
lb
M
Leswir 0 (f)
R8
>(ff)
