insidea longsolrr I smallloopof area6.8mm?is.placecl
varying
a sinusoidally
enoidthathasg54turns/cmandcarries
frequency212rad/s'
currenti of amplitude1.28A andangular
coincide'Whatis
The centralaxesof the loop and sfienoid
loop?
tl *nlitude of the emf inducedin the
t2[=
&
du
AdB
-
E
ID
Bs P . n T , B P . n t
Jj
&
1l
P.n
-r
ID
(^rt
Slnh)t'
cDsc'lt
poncDt
costr)b =, lo costo b
4*plifudc-=APont^>t
t)
= ( 6 .Ex ,6 (anx\o*)(t5+\
're l=
x ( l . 1 r ) (r rr)
f . 1 8 xld4 v
o , o Ir
themagnetic
(D rn Fig.3o-35,
throughthelooPincreases
fr-ux
to the relationOa :
according
6"0t2+ 7.0r,where$s isin milliwebersanclr is in seconds'(a)
What is the magnitudeof the
'
emf inducedin the looPwhen
t = 2,As? (b) Is the direction
of thecurrentthroughR to the
rightor left?
a
a
a
I
a
t
l
I
a
a
f
a
I
a
o
l
a
a
t
,
l'
a
a
-rr \
,.-J
wa'bcr'
lo
7L)
x
^) +* = (g tl +
I
ttl3
l-
,2
d9
a-
dt
r-
Q e b + ? ) * 1 6Vt{t.
'
b =l s
-t
f-
-3
3l xtO V
(rq
=
x
l
O
el
+7)
?
f
b) + incre.asc,r
to'tt {imc
+
in d.u,ced Bt aho*Jd
t.?'.P,^8. +
lol- ingid*
I indr'crJ +b tf'c{4t Lc.0ocle,roi.re)
.3 A wire lor:p of
racliuslZ
cm and resistance
g.5 O is locatedin a uniform magnetic
field F rhat changesin rn'agni:.
tudeasgivenin Fig.30-36.
&
loop's plane is perpendicuE
67, frfil;T
^ 0.5
F
2.0 .1.0 o.o
t{s)
Fig. 3o36 problem 3.
0
"
is inducedin
the loop during time intervals
(a) 0 to 2.As, (b) 2.0s ro 4.0s,
and(c) 4.0ro 6.0s?
e e B A c p s O= B A
r
€=
f
de
-
-i
dt
4)
f t O
dB
&
I
l- l.
t:
of, c. o.2S
Ts
| ; l d ' rV . ,
r q s
2s
H3o
9 b:
=::-.
t ?
t . D
lI
-\
-
r €s
1s
d B '' - o . l s
df
--D
r;
#,
r-
?Ir"^ o.lg = - TI(o.tr)l o, as
t-'
b)
_
Ls
-)
€ =
-
l-
T/t
l€= l.lx16eV.
a
- v
/\
A uniformmagneticfield F is perpendicular
tu)circular
to the plane
loop of diameter10 cm formedfrom wire
ofa
or oiameter2.5mm andresistivity
1.6gx 10-rt{).m. At wharrate
mustthe magnitudeof B changeto inducea 10A currentin
the loop?
+a tsA
t =-,;d-$
r*lc af
-,
,-A-r'V. C/"3 ,
- A
I t l= r R
+ dB
-
dr
Agq
r-
-
TR
A
L
>
-t
R 3 J t = ,l . 6 g x l o
x
A
r-
-
Jg
&3
C.lTfxo.og)
? T x( r . l s x t d r J .
f.Ix lo-r-n,.
f o * t . t* l d j
€
lT ( o.os). _
ErO I l.ltlngurarroop{area- 0.15m?)rurnsin auniform
:1p::'icnerd
I
E$jlt Q.60
ladlg,*tr*t**
i"*
ssf3*
Q= BA css0
€:-
dt' -
-- BA €e
e = BA si,rgd e
G
e = ( 0 . x ) C o . t F( s) i n S ) ( 0 . 6 )
'€
= o . o l 8V