Pfry
In Figure
t)
17 .1,
s;cs
3
F ¿nol Reu¿eø (ete.Lracal) Solo{¿ans
Q = 6.7 nC and all other quantities are exact. What is the magnitude of the electrical force on the
charge Q?
Fisure
17.1.
vLx
v^t
tolcm
i c¡ï,'
=
= 11
6fi+
icm
A)
1.2 x 10-3
N
F¡r.t' E - Ê
S r'nce
tr
D) 1.0 x 10-3 N
B) 2.1 x 10-3
kk,e
I
Yì.
arrJ 11= ?-- È Fl
8'= 8 ,ß g.ti
1c.
rroq Nm/.2(z* t o-tq) ( 6.7 v td
l'¿
1'r
-
(.ol m ) z
anents ar ç l'zosr ,í3N <os;oo
arrd Lhus c¿t'lce ( eaeh of À er
Th< Y e-omF onents adJ
3N sinØ'
Fne( 5 2 t l.ZoSttÒ
The. x
c. or.
P
(in+Y
Z.lttÐ-3N
Z)
A spherical conductor with radius 2.0 mm carries
6.0
a charge
anJ
l.us ,rl 3l.l
- l.2o5rrõ3NcosØ'
d d neett on)
of 7.0 ¡rC. What is the electrical field strength at
mm from the center of the conductor?
A) 780 x 109 N/C
B) 88 x rO9 N/C
Q
1.7 x 109
D) 25 x 109 N/C
Stnce Lh. <ftarge ìs an q >pfierû.a I c, 6n Jao{or, t h< a"Éa.a I
c.harge ès uni lormly J¿s'û.nååateJ On É/r e. sttt' fo. = aÎ
E l¿ef J ouL stde
å<
Thuç
L'
Q
kla
=
T r þ1 Nmt/c" (7.oxti¿c
Th< E {¿rtJ
lrom d
usl.te,re, r= (''Ômm =
I
I,aq
taþ.n ai la.aêe d
(
'ÒÔG>t¿t
töq Nl<
Unit; same' a's V/^
l,?5t
.oo
G^\'
ùs
everJ øhere d tre.t<¿
yot nt <ha"Xe-
¡asLt,¿ue
I
auta)
FIGURE
2O_4
+6.t0 ¡rC
+6.00 ¡rC
200m
+6.00
¡rC
2'UÛ m
+6 00 ¡rC
equal point charges of magnitude 6.00 ¡rC are placed at the corners of a square 2.00 m on each side, as
shown in Figure 20-4. What is the electric potential of these charges at the center of this square?
J)four
A) 61.0 kV
B) 306 kV
D) 38.2 kV
C) 153 kV
E)76.4kY
LLe e leetri'e lolent'¿ol (va lt"g. ) 4{ ú- 1..
ts d.àstartoe d l"o^ e.ac.h o{ È he
¡adnL o øh¿¿h
lou, *horyes. The. r¿1ht anXle *-rèa'^7la X t ves
dt+ dt= ?rn? Ò 24"= 'l^'
We. tt'ra^{
v=k(+,++'.+.ßnt
= ?. - l-j --
Ev
\
d=IVm
14 )
=d
arrd Er= 6-= 6= = 6"= 6'0 x t;c<
5o 1/. f x g-lq rþ1 Nlf , G.O * ,itC
?1
Y-,1
=
Vo=
l,S3 , lo
/ s 3 kr/
ty'
2_
ilZ^
,() Three capacitors of equal capacitance are arranged as shown in Figure 18.9. The voltage drop across C1 is
10.0 V. \Alhat is the voltage drop across C3?
Figure 18.9
q,
(
V,
Q¡
C1
Q¡
La
ct¿
vz
)
v3
( C2
b
A) 20v
c) 10.0v
B) 30V
D) 40V
C, a"d C. a.t/e- ì n ser¿€Ð Li'.¡ hou<
5à¡ce
T
j' e d¡ = Q=
L he. s,a,m e, c-harg e ,
Bul <' c z (Arrun)
C,,V= CtV'
T-hus
Sa Vt=V.= |O'OV
W< see tha( [/ab= V3 = V, + V7
Thus Va = l}.Otl + t\.oV = ZÔ.OV
c?
5)
A
wire is connected to a 1.5 Vbattery, and a current of
the diameter of the wire? (The resistivity of metal is2.24x 10-8 O . -.)
f .O m length of metal
B)2.2¡m
A) 2a pm
+
1¡--
T
Thus
D
?
anÅ
4e
-ffi
Dïo,'eter = D =
L
A=Ir"
þ=
-+
1"2. I
D) 12 ¡m
e- Acts a'' a' rcs ista",
L
R.fi
mA flows through it. What is
C) 6.0pm
nler rtal resis t¿¡¿ce
For fe.t¿star, t/= T'R +
i.orA{
But
he- qt ì r
8.0
tl
7.
3
Q=
e.
"J'
Y= ---l.sv 3A
I
?.orto
É,
t( = l8 7, S-l2-
1Æ
.mrl .O r¡'
tlO
o S ¿he
olQ
_tz
ttisrn
= 1,23
= t2,3
rA
6) A proton with a speed oÍ 2.0 x 105 m/s falls through a potential difference V and thereby increases its speed to
4.0 x 105 m/s. Through what potential difference did the proton fall?
A)
oV
rt
210V
B)
g
100V
el
dn¿ k¿¡e{-¿. eneîl)
Conser vaL¿on o1
e
b, tlu
E) 1000v
D) 630V
840V
rî,ca
tÅat Va= lÅs+ 115
I
Fotent¿a(
Kr- l?"
enert)
Uo- Ua
Ks- l(a= E(U^-
v¡)
t?or a_ IVrot on :
A
V: Va-Vr= k f k"
AV=
¡rfot
t.cDïs
= I^(-r'-
T
*,;uu¡l(+o r oinls)'
e: Tl.c ê l¿. td
l4"\
- L2.o r tfrnl t )" ]
G3O V
.60 2 ttôrl: da eDn an4. pasit¿',¿e
/t
square plates that have dimensions 1.0 cm by 1.0 cm. If the
plates are separated by 1.0 mrrç and the space between them is filled with teflorç what is the capacitance? (The
dielectric constant for teflon is 2.1.)
'f) A parallet-plate capacitor consists of two parallel,
'
B) 2.1pF
Q
O.aa
pF
D) 0.88 pF
The st'eng Lh (Qaya.i(anee ) o1 o po*lk('pl"t.
K €'4.
¿3
ul¿+,h unít3 Faral IFJ
e =
Qa'Fo.c'd( o
¿
r
tlt. d¿electr¿c c-onstar¡! ,{ tL' ,lfialerèal betutoe"
the parollel plott' Ld¿o'enstart /ess)
ê.o å s the e-lect r¿<- consl.artt : 8'85( r td'go{ th' ybtes
A î-s LLc o-îed o{ ú
K
ùs
d. is the ¡lat'seParat'tan J¿s (qr¿c <
(ot^\'
-t2
Z.l , I8s.(rtl''17Nn''
I,ixro l-^
=
= l.dI ?F
.oOlm
Noê,.
a^ l,,ln¿Ls
LeJ=
[vl=
l*r|= tã,]
tt]
=
["] = [A.
,l
'l
8) Two point drarges of +5.00 ¡rC and +8.00 ¡rC are placed inside a cube of edge length 0.100 m. The net electric
flux due to these charges is given by
A) 3.80 x 106 Nm2/C
B) 0.450
g
0.340
¡¡¡2¡ç
"
196
,<
166 ¡rn27C
D) 1 .47 x 106 Nm2/C
E) 4.20 x 106 Nm2/C
Gauss' La,r,
Qenc.lared
.JA
lE,o
4
-al
€too.,
=
S.or,o'ec. + t.ö.rô-¿<
t" Qt/N.^.
8.85V t tf
l.¿l7tto
5
g
m
^/c
?
Figure 19.15
I a
20a
a
+
o
e)
In Figure 19.15, the current of the circuit in the
A)
4.s
A
B) e.5
A
8
ohm resistor is 0.54. \n/hat is the current in the 2 ohm resistor?
c)
6.4
A
D)2.2s A
E) 0.7s
A
rcsist¿r ,ls, r{ cr d¿S{er.,,t va(ue., I ær¿ll
uLte fahe r€s è st or Jolu< as a. shL Écr ¿Frt ø, Len uor¿Lr y
Lhe e-urrqtt Llt"o ngh t lucL reai,stor o t- tLe vollaS <
a,e.r¿r5s Lha,l resLstar. Thus, far eramyle, L8 ås the.
ettvrent LhrouJh the. €r¿ l-€sùstorLIV
C^oàtt<n t-ha1- Ie=
IA + Vs= Lar gs¿ =
ftte 8A, ø.rJlLJ¿ r€sLsLars are. Ln pavatkl, t L*
e-èrt m on V o[Ldí e
+ Vø= Va = ./ V.
Thus Íø=
+A
Írc a,tdf,g sht^ La l¿u. T.o + T.o= io.*a= $a
t5t/
Thus Vro=
^ÒrL"fA=
Vgot= VzoçVA= tSVrlV =t1V
T h e. baLle+g Vo lLag e, is Lha s
Vø^ ùs nuol L" Vz (anÅ v.)
f hus I,z -- tqv
9. rA
Since.
êa.ah
ffi=
ZJL
6
lO) Each of the resistors in the circuit shown in Figure 19.1 has a resistance of 180.0 O. \A/hat is the equivalent
resistance of the circuit?
Figure
19.1
<?
Rr
R.J
A)
180.0
O
Rz
^^¿,
I nu)
c)
B) 450.0 C)
R3 d."e. Ln po ro
I
¿30&.
+
¿
|lel
€¿lL
D)720.04
540.0 c)
z
|SOJ¿
=>
R=z
=
Qotz-
, l'?zs az.Å R,¡ are Llren tn serèes.
Thus ôve.raf Ic¿r.¿dt R.B=R,+Rzz*Rv
R,
= lSot¿ Þ1Ò-r| t lgo J¿
= l5o tzI
l) R d"rrlce experiences
a voltage
drop of
5.0
V across it while a current of 10.0 mA flows through it. How much
power does it dissipate?
A) 500 pW
c) 2.5kw
B) 50 mW
!= lO.On\
þ.Am A
t
5.OV
54. ô mV)
7
D) 0.50 kw
Figure
t4)
t f'u
19.'1.8a
--à-ï
S
+
0.10
20 FF
Mo
Initially, for the circuit shown, the switch S is open and the capacitor is uncharged.The switch S is closed at time
t = 0. In Figure 19.18a, when the time t is equal to 8.0 s, the charge on the capacitor, io FC, is closest to:
B)
1200
1e00
c)
1400
E) 1600
D) e40
'+ Vn=-Vc+t' Vn=IR, f = Ë
and /"=
8*Ê -+ t?=+(a-c€,)
a-c€l = -å*
At t=or
Q=c>
¿l
I ht*s
Q=
A
=
ô. lo
r
A
o eo¡ftt"t
= c€' + Ae-É/<c
So
c)=QÊ+A + A=-C€.
c-€ ( I - e-tlec )
x 20 ¿t to -'F=
zS, å= ??l=
e = Cg ( l - e-t ) = o.ea z C.€-,ì-. c€
RC
,
a
c.
loø-ç2-
G?3C€ =
^ottO'GFt6OV=
¿/
l2Ôo ./ c.
r2) A 7.0 O resistor is connected across the terminals of a 10.0 V battery. If 0.50 A of current flows, what is the
intemal resistance of the
c)27.0A
A) 20 C)
f
I
t=
IDV
r+
R=
Cbret" O
-lov +Ir +IR =o
Ad¿ Potentä[
J
f
D) -10.8 O
I = 0.54
r+
7¡r
fa
R
= lÔV.
T
lov
R
I
f= IOV -71¿= 13r¿
,5A
I
Figure 19.16
o
4a
12Y
13) fn Figure 19.16,whatis the power dissipated in the 2 ohm resistance in the circuit?
A) 6.67 W
c)
B) s.33 W
3.56
W
E) 2.67 W
D) 8.0W
CamÚ¿n. al( re.sistancc:. (o 4 sèn7 le ouerall %oèuale4{
Res¿sf.a^c-e i
z.l¿
ll¿
sn'
,l¿
3J2'
4{Vté
CoJL
2fz
-
CJL
2tz Í4,
I
r1
'4us
GJ7
GfL
I--
=
ôu<rall
R e6
H=zA
I?V
a.rass 1f¿- = 1tZx ZA -- I V
+he s€rc'€s
Th¿rt lea,¡es tZV-AV = lV
^eross
eomb¡t at-ion o{ 2!¿ qreJ
Then work bo.k waré:
Lhe- s€r¿a-s
c.Òm
V
b¿not à¿
n
Th4 s€rè<s c-orn b¿n"t¿
?;::"':;: :Î:; *;iï";"iJ^=ff.
?
te)
ùs
The y Ou)er
P= T zl< -- (
Ln
z þ-
+A
the 2n- is
t+ 3-5a v)
w
ff
q
( anl ot'o tÄe