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Summary

Summary - Physics

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All the Derivations that can come in your exams from electrostatics are here.

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Pelontal ata point du to peint hatge: Capaca tane Nplate cgpacitor [airI
Let hee bea pint Pata distane rom +8 change. Conschr a |"plate copactor gaea As seraled by
hctic Poential means wosk adone to baing a ww a olis tane d. et to be cufa change clniy
+e charge rom co to te point
i4)
EFouiele capohor plate 6go.
We hous EF ncla capaaton plale is: EF le
WefetdrP
Po blo tho plades :

Po V: d
we kow,




Paralll Plale Capacihor with Dieleetyc.
Polen tHel at a Potnt du to tackne Diro le distance
lets corsidr on ehcht dipol og cpsomomert P= 2aqAsomande nCongiden W'pkte copaciky ao 'A, sepented hy agp
t t | d e o be dhe aufoc hurge dlnly. u blu
chargsq ondt4 Let Pbe a Pgint at distanct' y' thu plate is llel wrh dieeene.ubsJane haing
mormont P!
0' lipo and makrg on angh o' with dipok dielcbe Contt. K.
The terial at is: |&F blw pates : Fz
A bok

K2 K - K Now, PD blwpbles: V= Ed
A EK
Nou, copoalance c Sl
(P-2a4
oxc=cK
Vp KPlosA
Plental Entay afa ystem ef tuo changes men t EF
ase1: A poind en asul line [oso-0] ef Potentil at A&B be Va GVs.
Wosh olone to ploce at h
(os0: 1 >V= P
bsk lone ophe 4 at B

Nef wosk done, w= Wat We
Relatien blo Ted andl Potentia!
Consider 2 clooly spacel eipotontiol ewfot Aond B hpfered 4, Va t 4Vs + K s weknes, his lWoxck dore is PE
values v'&'Vtdv' her dVis chnge in Vin dischisn Et.
det P be a pointon swfoce B. e dx' be ds tancedsuce Aom
A srom P. Bmagine a wnit t charg is movl alony
BAin oireckon op to ET. he woxk clone in this pxoess
is JElelx. PE Diple in ext Feild
Ts wosk eaols P-oz VA-Vs du bot d9
Suppose an ext osgus isoppled to
Thub olate the dipsl om onge &y to
IEI dx V- (Vtdv) = -dv
Amaut 0osk done:
dx
Science dV is -w, dV: - |av Ceuy be Han as!
>Wi 4U: -PE (Ces-Co,)\ PEswsk is sbsed at
os system.
i) EFisin dixeton in which the potbrtial deersases
staypest. Ulo) =-PECCos O, - Ces )
The maghihude is qiw by the change in the mogrikucle
o poten ial per uhit ohip pmnt noxmal to ha U): PE ao) Uo) =-P.?
eguipotential aufo at he poind.

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