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13) Digure #how# the fi*e charge !u"$# of $!a#tic an a Cro##
#ection of 4au##ian #urface S) W hat i# the
net f!u+ through the #urface ifQ(FQGF / n C S /q( 'qGQ9FQ@F '@)H
n C 'q9
QF ')( n C 'q /q@
14) State any two ,a#ic $ro$ertie# of e!ectric charge%
15) What i# equi$otentia! #urface#% raw the two equi$otentia!
#urface# for unifor" e!ectric fie!%
OR
Three $oint # A>- an C !ie# in a unifor" e!ectric fie! 5E6 of
@+(=NC A 3 3 -
a# #hown in the figure) Din the $otentia! ifference ,etween the
$oint# EA an C) 3 C
T"REE MARKS QUESTO!S
16) Two charges each 2 x 10-7 C but opposite i sig !or"s a
syste"# These chargesare $ocate% at poits & '0(0( -10) c" a%
B'0(0( *10) c" respecti+e$y# ,hat is the tota$charge a% e$ectric
%ipo$e "o"et o! the syste"
17) A cy!inrica! 4au##ian #urface for an infinite!y !ong
#traight wire of unifor" !inear charge en#ityi#
#hown in the fo!!owing figure An#wer the fo!!owing) E
a6 Dor which #urface i# the e!ectric f!u+ zero%
,6 O*er which #urface i# E con#tant% / / / / / / / / / / / / / /
/ / / / / / / / / / / / /c6 O*er which #urface Ezero
OR
Dour charge# each ha*ing charge Jq. are a!ong +'a+i# at +F( c"
>+F9 c"> +FG c"> +F c" )Din the e!ectricfie! at +F= ue to
the#e charge#)
18) eri*e an e+$re##ion for the energy #tore in a $ara!!e! $!ate
ca$acitor of ca$acitance C> charge to a
$otentia! ifference 7%
19) a6 Din the equi*a!ent ca$acitance of the fo!!owing !aer
,etween the $oint A an - in the
fo!!owing figure 9D 9D 9D
A
(D (D (D (D 5 u$ to infinity 6
-
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,6 A $ara!!e! $!ate ca$acitor with air ,etween the $!ate# ha# a
ca$acitance of $D ) The #e$aration
,etween the $!ate# i# now reuce ,y ha!f an the #$ace ,etween
the" i# fi!!e with a "eiu" ofie!ectric con#tant @) Ca!cu!ate the
*a!ue of ca$acitance of $ara!!e! $!ate ca$acitor in #econ ca#e)
20) An e!ectric i$o!e i# he! in an unifor" e!ectric fie!) #ing
#uita,!e iagra"
a6 #how that it oe#n.t unergo any ran#!ator "otion
,6 eri*e an e+$re##ion for torque acting on it an #$ecify it#
irection)
#$E MARKS QUESTO!S
21) ow charge gi*en to inner #$here tran#fer# to outer #$here%
Na"e the e*ice where it i# u#e) E+$!ain
with iagra"> wor2ing of that e*ice)
OR
A thin conucting #$herica! #he!! of raiu# R ha# charge Q #$rea
unifor"!y o*er it# #urface) #ing 4au##.#!aw> eri*e an e+$re##ion
for an e!ectric fie! at a $oint)
Out#ie the #he!! ,6 On the #urface of #he!! c6 In#ie the
#he!!> raw the gra$h of
e!ectric fie! EP fro" the centre of the #he!! for = r i.ity)22)
eri*e an e+$re##ion for the $otentia! energy of an e!ectric i$o!e
in a unifor" e!ectric fie!) i#cu## the
conition of #ta,!e equi!i,riu"> un#ta,!e equi!i,riu" an zero
$otentia! energy of the i$o!e)
OR
What i# an e!ectric fie! Inten#ity% Din an e+$re##ion for
e!ectric fie! Inten#ity a!ong the a+ia! !ine of e!ectric
fie!) 4i*e it# SI unit)
23)What i# an e!ectric $o!arization of a ie!ectric% What i# the
effect on ca$acitance of a ca$acitor when a
ie!ectric of with Jt. i# $!ace ,etween the two $!ate# of
$ara!!e! $!ate ca$acitor%
ORE!ectric fie! in the gi*en figure i# irecte a!ong / irection
an
gi*en ,y E+F @A+ / 9-> where E i# in NC'(an A F (= an - F @
in
SI unit#) i# in "eter) Ca!cu!ate the e!ectric f!u+ through the
cu,e an
net charge enc!o#e within the cu,e) The #ie of the cu,e i#
(=c")
For Solution Contact;S.P.SHARMAEmail; [email protected]
no. ; +919!!"9#9!9
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