10 ELEECTROSTATICS
off
I Electriccharge
property associatedwithmatter
Responsibleforelectric and magneticeffect
relycharge and relycharge
deficiencyote Feesof e
9
Iffegenuataotif ge
i.oxio19
sstuni sm
allestpossible
valueofcharge
i
Accordingrecentstudies
Ap te 25 25 5 an O
consists
ofquarks
did I
W
55 5 5
upquark
lust
L
Alwaysfound in pain
Qi ay chargecannotbe created nor bedestroyed but
chargeparticle canbecreated and destroyed
2 Coulomb'slaw
F
É
mm
9
I Attraction 9,92 0 Et permittivityof
givenmedium
Repulsion 919270
Er E D
relative
permittivity
Fm
Eet 4 Er
K tacospermittivityof
free
space
E Iggy TI
to 8.854 10
12,42
5 109
MEI FI q9 frigid
Fz Fal
F ait r IFa ri1 15Fal
y
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Principleofsuperposition
91 93 IFnet
q FtFztFzt
i'go
IFL
92
Additionoftwovectors
0 180 R A B Min
I
angle
made
byRwithA pya
it Al 151 nap
PYO
0 90 0 60 0 120
R TABI
Ryy
RIFAT
Rag
Ratbag
A B F A B F A B F
PED
Equilibriumofchargedparticles
unstable
egg stableegu
a
9 0 Y
ked 9 0
it fed
9 stable
ego 9 unstable
equ
B Electricfield E E ere
plotedabove
F QE Ep Iq Es Eve
930 FILE and ploted below
directed
awayfor a o
9 0 FantillE directedtowardsfor aco r
Electric
fieldisrepresented
by Eflines Electriclines offorces
DirectionofEf tangentdrawn tofieldlines
Twofieldlines never intersect
fieldlinesnevertakessharpturns
field linesproduced
bystaticcharge will nevertorms
closeloop
No oflines a magnitudeofcharge
dis ve and da ve
ItYaiEEE.F
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Magnitude of Ef is inversely
Toportionaltospacing
Elatngblotines
E s
E Ez E
I E
Ez
nonuniform Ef
uniformEf
E Ez
Nullpointor pointofzeroforce
smallcharge Bigcharge
r
foggy
torlikecharges
0
rapping
forunlikecharges
CB co
A charged particleof charge a'and mais mi is
releasedfrom rest inuniform field of intensity É
F 9E 219mLt2
a AIM
D 9mi t
AKE
Effy
ElectrostaticpotentialEnergy
work
done
byexternalagainstelectric
tore in taking
charge 9 from infinity to a pointstowelyostowely
a I of
9 Went U
8 x const
AKE O
9 I da sear
quantity sochargesmust
0
6 beusedwithsigns
9 I Q Tsein valueof r
may
u
kaytat
Tse or Ise U depending
natureofcharges
Q
a a Usgs
k 13
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ElectricPotential
v a
Wentland Vegas Ky
scalarso put
chargeswithsign
Potentialdifference
s
why
f AV VfVi KY KY
Work
done in thischapter
Went W
ele work
done
byelectric
tone
Work
donebyexternalagent
Went 9 Vt Vi Uf Ui
Wele 9 Vi Ur Vi Uf
Relationbetween Ef and Potential
q
directionof Ef
U V2 7 V3
f direction Ef
V1 U2 C V3
E My E EntEytEe
En
If yand E constant
Ey dy s se and E const
Ez g x and y
const
du E dr Edraso oanglebtw E and dr
H const Ed di
A'surfacehaving samepotential at all points is known
as equipotential surfaces
Ef willalwaysbe perpendicularto equipotentialsurfaces
Electricpotentialalwaysdecreases
alongthedirection
ofelectricfield
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ÉÉmÉÉÉ
equaland oppositecharges placed at dist 21
Eeantiup if
2
300 Eg Kfir
E Y
if
tana tano
I ÉÉ
axisotaipole
alinetailor toaxisofdipoleandparsingthroughcenter
Electricdipolemoment P 191 separationbtwcharges
15 9 za
alwaysdirectedfrom towards
Dipoleinuniform Ef
F
9 9E
easy
Thet o
Translatoryequilibrium but
are 19
Cnetmayor
maynotbe zero
aEEienrFar Ejemay
PEi0 90r
pgp.i p zag
WFdonebyistunataginttoniateinportromo o
W Fido we Petcoso cero
stored as potentialenergyofdipole
provided thatdipolerotatedslowly
it 0 go and 02 0 than W Pecoso
face ofEero u U pE
0 0 Wso I U PE
I 22
FI
MOI
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0 1 0 4 PE
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Dipolein nonuniform Ef
7
a
9
hi 1.9
E fi ta
Ez
AE E
Ez
E Ez E Ez
FIFA fret 0 Fi Fz
Dipole
translateoppositetoEf Dipole
translatealong Ef
but e may or
maynotbezero
F Edt IF o Fll E and
dig o F untill I
Electrify
E A EAGor
anglebw E and a
0 90 EIA 0 0
teavector noneofthelinescrossing an area
Iantosurfaceandalwaydirected
awayfromsurface
Aclosed surface w o
anycharge placed in uniform E
3 0 90
E e A
O 180 0 90 OEO
EA p o D EA
incoming
blue furthrough outgoingthese blue
leaving
turenegynedsuty
for nonuniformsurfacenonuniformE
0 8Edacoso
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Gauss's law
of kingosed
Gaussian
surface
Éq
imaginary
Op
q
fo foE da
4
7
9 Ietoallthecharges doesnot
matterwheather
chargeis inside
or outside
I JOE IF
904ft
whyoutsidechargesdoes
notcontributeto d
009 d
9
are exactly same causing total
flux zero dueto outside charges
Sizeofgaussiansurfacechangeswithtime does it
attestgeuncrossing through Ed in anyway
11 biz of 9in
Iep
endson 9in and mediumonly
ApplicationofGauss'slaw byknowingcharge
distribution
E canbeobtained
O f Ed
AGE ME
byknowing E chargedestrib
coso O coso t i can beobtained
0 90 0 0 or 180
Ed dit Elldnt E anti Ildit
shapeofgaussiansurface mustcomplimentshape of
fieldpatternbygiven chargedistribution to satisfy
abovementioned conditioned
Gauss's law is valid forsymmetricchargedistribution
only
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A body is charged by rubbing its weight
Example
A.
B.
C.
D.
Increases
Decreases
May increase or decrease
Can’t say anything
lo a 02
body body
FIT
W d wt
A body is positively charged by rubbing its weight
Example
A.
B.
C.
D.
Increases
Decreases
May increase or decrease
Can’t say anything
A glass rod rubbed with fur is used to charge a gold leaf
electroscope and the leaves are observed to diverge. The
electroscope disc is then exposed to X-rays for a short
period. Then ,
Example
A. The divergence of leaves is not affected
B. The leaves diverge further
C. The leaves will collapse
D. The leaves will melt
Consider a neutral conducting sphere. A positive point
charge is placed outside it. The net charge on the sphere is
then
Example
A. Negative and uniformly distributed over the sphere
B. Negative and appears only on the point closest to
the outside placed charge
C. Negative and non-uniformly distributed over the
entire volume of sphere
D. Zero
I
X
X
t
t
t
I
9
Consider a neutral conducting sphere. A positive point
charge is placed outside it. The net charge on the sphere is
then
Example
A. Negative and uniformly distributed over the sphere
B. Negative and appears only on the point closest to
the outside placed charge
C. Negative and non-uniformly distributed over the
entire volume of sphere
D. Zero
I
all E
et t
detected
II
When an object A is charged by induction process, another
charged object B is required to induce charge. If qB
is the
charge on B in such an experiment, then
Example
A. qA
+ qB
= 0 in every such experiment
B. qA
and qB
are dissimilar nature in all such experiment
C. qA
= - qB
( 1 - 1/KA
), where KA
= dielectric constant of object A
D. Charge can be induced on A only when A contains few free
electrons
I
I Joe
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MCQ type Question [ +4 , -1]
Question
Et I
Example Two charges equal in magnitude but opposite in polarity are
placed at certain distance apart and force acting between
them is F. If 25% charge of one is transferred to another,
then the force between the charges becomes.
A. B. C. D.
I
F age
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If the source charge is becomes twice of original value
and distance between source charge and test charge
becomes half of original value, then what is new EF.
(Consider initial EF = E)
Example
A. B.
C. D. 6 E
4 E
E/2
8 E
I I
21M If
I ay AE
O T 20 ZE
Electric field due a charge q on charge q/2 is E. Than
what is the electric field by q/2 on q (Separation
between the charges are same)
Example
A. B.
C. D. none
4 E
E/2
2 E
O
O
KYE E
LE KYE E Ez
MCQ type Question [ +4 , -1]
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MCQ type Question [ +4 , -1]
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Example
Example
Example
A charge q is enclosed by an imaginary Gaussian surface
A. flux linked with surface is increasing at a rate = K
B. flux linked with surface is decreasing at a rate = K
C. flux linked with surface is decreasing at a rate
D. flux linked with surface is
If radius of surface is increasing at a rate = K, then
MCQ type Question [ +4 , -1]
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Example
Example
MCQ type Question [ +4 , -1]
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MCQ type Question [ +4 , -1]
Question
Example
Example
Example
Example
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10_ Electrostatics class 12th physics.pdf

  • 3.
    10 ELEECTROSTATICS off I Electriccharge propertyassociatedwithmatter Responsibleforelectric and magneticeffect relycharge and relycharge deficiencyote Feesof e 9 Iffegenuataotif ge i.oxio19 sstuni sm allestpossible valueofcharge i Accordingrecentstudies Ap te 25 25 5 an O consists ofquarks did I W 55 5 5 upquark lust L Alwaysfound in pain Qi ay chargecannotbe created nor bedestroyed but chargeparticle canbecreated and destroyed 2 Coulomb'slaw F É mm 9 I Attraction 9,92 0 Et permittivityof givenmedium Repulsion 919270 Er E D relative permittivity Fm Eet 4 Er K tacospermittivityof free space E Iggy TI to 8.854 10 12,42 5 109 MEI FI q9 frigid Fz Fal F ait r IFa ri1 15Fal y MAHI SIRHANDPICKED ELECTROSTATICS t ygjz ylinktr.eeMS LIVE
  • 4.
    Principleofsuperposition 91 93 IFnet qFtFztFzt i'go IFL 92 Additionoftwovectors 0 180 R A B Min I angle made byRwithA pya it Al 151 nap PYO 0 90 0 60 0 120 R TABI Ryy RIFAT Rag Ratbag A B F A B F A B F PED Equilibriumofchargedparticles unstable egg stableegu a 9 0 Y ked 9 0 it fed 9 stable ego 9 unstable equ B Electricfield E E ere plotedabove F QE Ep Iq Es Eve 930 FILE and ploted below directed awayfor a o 9 0 FantillE directedtowardsfor aco r Electric fieldisrepresented by Eflines Electriclines offorces DirectionofEf tangentdrawn tofieldlines Twofieldlines never intersect fieldlinesnevertakessharpturns field linesproduced bystaticcharge will nevertorms closeloop No oflines a magnitudeofcharge dis ve and da ve ItYaiEEE.F MAHI SIRHANDPICKED ELECTROSTATICS t ftp.zgylinktr.ee MSLIV
  • 5.
    Magnitude of Efis inversely Toportionaltospacing Elatngblotines E s E Ez E I E Ez nonuniform Ef uniformEf E Ez Nullpointor pointofzeroforce smallcharge Bigcharge r foggy torlikecharges 0 rapping forunlikecharges CB co A charged particleof charge a'and mais mi is releasedfrom rest inuniform field of intensity É F 9E 219mLt2 a AIM D 9mi t AKE Effy ElectrostaticpotentialEnergy work done byexternalagainstelectric tore in taking charge 9 from infinity to a pointstowelyostowely a I of 9 Went U 8 x const AKE O 9 I da sear quantity sochargesmust 0 6 beusedwithsigns 9 I Q Tsein valueof r may u kaytat Tse or Ise U depending natureofcharges Q a a Usgs k 13 Go od a MAHI SIRHANDPICKED ELECTROSTATICS t.jp ylinktr.eelMSLIVE
  • 6.
    ElectricPotential v a Wentland VegasKy scalarso put chargeswithsign Potentialdifference s why f AV VfVi KY KY Work done in thischapter Went W ele work done byelectric tone Work donebyexternalagent Went 9 Vt Vi Uf Ui Wele 9 Vi Ur Vi Uf Relationbetween Ef and Potential q directionof Ef U V2 7 V3 f direction Ef V1 U2 C V3 E My E EntEytEe En If yand E constant Ey dy s se and E const Ez g x and y const du E dr Edraso oanglebtw E and dr H const Ed di A'surfacehaving samepotential at all points is known as equipotential surfaces Ef willalwaysbe perpendicularto equipotentialsurfaces Electricpotentialalwaysdecreases alongthedirection ofelectricfield MAHI SIRHANDPICKED ELECTROSTATICS t Fizzy link tr.ee MS LIVE
  • 7.
    I ÉÉmÉÉÉ equaland oppositecharges placedat dist 21 Eeantiup if 2 300 Eg Kfir E Y if tana tano I ÉÉ axisotaipole alinetailor toaxisofdipoleandparsingthroughcenter Electricdipolemoment P 191 separationbtwcharges 15 9 za alwaysdirectedfrom towards Dipoleinuniform Ef F 9 9E easy Thet o Translatoryequilibrium but are 19 Cnetmayor maynotbe zero aEEienrFar Ejemay PEi0 90r pgp.i p zag WFdonebyistunataginttoniateinportromo o W Fido we Petcoso cero stored as potentialenergyofdipole provided thatdipolerotatedslowly it 0 go and 02 0 than W Pecoso face ofEero u U pE 0 0 Wso I U PE I 22 FI MOI stableequi 0 180 Cos 0 1 0 4 PE unstableequ MAHI SIRHANDPICKED ELECTROSTATICS t.pe ylinktr.eelMSLIVE
  • 8.
    Dipolein nonuniform Ef 7 a 9 hi1.9 E fi ta Ez AE E Ez E Ez E Ez FIFA fret 0 Fi Fz Dipole translateoppositetoEf Dipole translatealong Ef but e may or maynotbezero F Edt IF o Fll E and dig o F untill I Electrify E A EAGor anglebw E and a 0 90 EIA 0 0 teavector noneofthelinescrossing an area Iantosurfaceandalwaydirected awayfromsurface Aclosed surface w o anycharge placed in uniform E 3 0 90 E e A O 180 0 90 OEO EA p o D EA incoming blue furthrough outgoingthese blue leaving turenegynedsuty for nonuniformsurfacenonuniformE 0 8Edacoso MAHI SIRHANDPICKED ELECTROSTATICS t it linktr.ee MSLIVE Atl
  • 9.
    Gauss's law of kingosed Gaussian surface Éq imaginary Op q fofoE da 4 7 9 Ietoallthecharges doesnot matterwheather chargeis inside or outside I JOE IF 904ft whyoutsidechargesdoes notcontributeto d 009 d 9 are exactly same causing total flux zero dueto outside charges Sizeofgaussiansurfacechangeswithtime does it attestgeuncrossing through Ed in anyway 11 biz of 9in Iep endson 9in and mediumonly ApplicationofGauss'slaw byknowingcharge distribution E canbeobtained O f Ed AGE ME byknowing E chargedestrib coso O coso t i can beobtained 0 90 0 0 or 180 Ed dit Elldnt E anti Ildit shapeofgaussiansurface mustcomplimentshape of fieldpatternbygiven chargedistribution to satisfy abovementioned conditioned Gauss's law is valid forsymmetricchargedistribution only MAHI SIRHANDPICKED ELECTROSTATICS t tazza link tr.ee MSLIVE
  • 10.
    1 EFdueto Alien lengthofwire tailarlyawaytorturesource stcularlytowardsfor we source d a cw te NT Et kftsinatsrnp B Awa ere Bt y otherwise En KItbsp Cosa parallelyaway torte source parallely towardsfor resource Efdueto intinelengthof wire ad A L 22 13 d n YI EL 21g 13 0 Z P Ef Eek is EfandPotential duetocharged arc 9 panglesubtendedbyan arc 8kt E 2 sing and V 4 A a 21,1 directed away torte sauce directedtowards for ve source MAHI SIRHANDPICKED ELECTROSTATICS t jaggy linktr.ee MSLIVE
  • 11.
    I EfandPotentialduetochargedRing in t E fÉp2312 at a IEEcmax at D 2 0 E O Kees E O ÉÉÉ It at me V Kf EfandPotentialduetochargedshell conductingsphere atheridesatthe surface ofconductor just R likeshell R Thereis no Efinside conductor D Iap Q 043Rd Ein O e a sturtace chargedensity rer Eat KY EIRE r R I E É ER vi us KY ER Vent F Esty F MAHI SIRHANDPICKED ELECTROSTATICS t it linktr.ee MSLIV Ie
  • 12.
    EfandPotentialduetosolidsphere OIdestributed all overvolumeP fans 9 85223 R uotumchargedensit E A I KI EE EEE ER Ein Kfr for r rar Vent KI E I Usur Kf goR Vin KffRj Thankyou MAHI SIRHANDPICKED ELECTROSTATICS t YYx gy.linktr.ee MSLIVE
  • 13.
    A body ischarged by rubbing its weight Example A. B. C. D. Increases Decreases May increase or decrease Can’t say anything lo a 02 body body FIT W d wt
  • 14.
    A body ispositively charged by rubbing its weight Example A. B. C. D. Increases Decreases May increase or decrease Can’t say anything
  • 15.
    A glass rodrubbed with fur is used to charge a gold leaf electroscope and the leaves are observed to diverge. The electroscope disc is then exposed to X-rays for a short period. Then , Example A. The divergence of leaves is not affected B. The leaves diverge further C. The leaves will collapse D. The leaves will melt
  • 16.
    Consider a neutralconducting sphere. A positive point charge is placed outside it. The net charge on the sphere is then Example A. Negative and uniformly distributed over the sphere B. Negative and appears only on the point closest to the outside placed charge C. Negative and non-uniformly distributed over the entire volume of sphere D. Zero I X X t t t I 9
  • 17.
    Consider a neutralconducting sphere. A positive point charge is placed outside it. The net charge on the sphere is then Example A. Negative and uniformly distributed over the sphere B. Negative and appears only on the point closest to the outside placed charge C. Negative and non-uniformly distributed over the entire volume of sphere D. Zero I all E et t detected II
  • 18.
    When an objectA is charged by induction process, another charged object B is required to induce charge. If qB is the charge on B in such an experiment, then Example A. qA + qB = 0 in every such experiment B. qA and qB are dissimilar nature in all such experiment C. qA = - qB ( 1 - 1/KA ), where KA = dielectric constant of object A D. Charge can be induced on A only when A contains few free electrons I I Joe meals x 91 934 E I I
  • 19.
    MCQ type Question[ +4 , -1] Question Et I
  • 20.
    Example Two chargesequal in magnitude but opposite in polarity are placed at certain distance apart and force acting between them is F. If 25% charge of one is transferred to another, then the force between the charges becomes. A. B. C. D. I F age I f'd E62 34
  • 21.
  • 22.
    MCQ type Question[ +4 , -1] Question I K9 49 Iggy's TBA KEEF 491 349
  • 23.
  • 24.
    Example y r rm rtisnyvaysmayI_4o EEIft.o But 2fcoso y2.49 I 2 47312 se isvery small st 22 0 fat 29 x
  • 25.
    Example I Baid 1alentoBE ET I I not parky É Fat KI yo toBC Lp 10 tf
  • 26.
    MCQ type Question[ +4 , -1] Question or a clean IT a al ThaToso 9 joint ing Ying tano wagg tano ME 111mg v 22312 2 ad as timepasses O is icy small sed g g ayyy one rise a e GE v a G
  • 27.
    MCQ type Question[ +4 , -1] Question tano H Ying 42 1.8 20
  • 28.
    MCQ type Question[ +4 , -1] Question O O a t d xf E se y se dtd
  • 29.
    MCQ type Question[ +4 , -1] Question C I Leasure dfrom valueshare
  • 30.
    MCQ type Question[ +4 , -1] Question EEE 12 4 EE ret r E IF 9 r 92 It r F Iz 9 E 9 HE 92 MEEEEE
  • 31.
    If the sourcecharge is becomes twice of original value and distance between source charge and test charge becomes half of original value, then what is new EF. (Consider initial EF = E) Example A. B. C. D. 6 E 4 E E/2 8 E I I 21M If I ay AE O T 20 ZE
  • 32.
    Electric field duea charge q on charge q/2 is E. Than what is the electric field by q/2 on q (Separation between the charges are same) Example A. B. C. D. none 4 E E/2 2 E O O KYE E LE KYE E Ez
  • 33.
    MCQ type Question[ +4 , -1] Question É É E AKE E at ER EFI
  • 34.
    MCQ type Question[ +4 , -1] Question PYO chargedring E o o
  • 35.
    MCQ type Question[ +4 , -1] Question a I that t t t t die da d die potent charge Jap 1421 k t d da kaEte Ep KdIta fi If LIA Lta an Ep If
  • 36.
    Example A se 5 14127 I a co no F 9E 9 Kf se F2
  • 37.
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  • 50.
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  • 52.
    MCQ type Question[ +4 , -1] Question
  • 53.
  • 54.
  • 55.
    Example A charge qis enclosed by an imaginary Gaussian surface A. flux linked with surface is increasing at a rate = K B. flux linked with surface is decreasing at a rate = K C. flux linked with surface is decreasing at a rate D. flux linked with surface is If radius of surface is increasing at a rate = K, then
  • 56.
    MCQ type Question[ +4 , -1] Question
  • 57.
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    MCQ type Question[ +4 , -1] Question
  • 60.
    MCQ type Question[ +4 , -1] Question
  • 61.
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  • 69.
    Give a Boostto Your Preparation With MSLIVE linktr.eemstTVE