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Examplt'1.6' In lhemagneticsystcmshownio-fíg 1.34.
/', --./ :.. 300mm
-4. = .4:,-~200min"
p." ,...p.,.\~.'!:!50
'\- <!5
/)clennine lhe t1ux<.Iensllíe<;B, R,. ..nd tl., m Ihelhrec hranche\uflhc circuil when
thc \"oil clIITcnl is 0,5 !\
12 -=IOOmm
-42 =400mmz
I.L" ""' I J50
1'., BI
I
8,
I, . -.
~. t
( - - -- y
:~-TTTI :,IJ ' I
~
, I
ti "r:r~ !I I . , II~', '
I
. I ,.
,I J I. J - J..
f~. '0J.t Magnelic
circuil for E "(ample
1.6 '
. ..,.".-
: lJ A, C]) r iI. ' .1--~ )
.\"IIiÚ"" I"
Jf, = jf. -=- 300)( .10" , . ~ 0.531 x 10'" AJ\\'I>
2250 41Tx /0-' x 200 x IO-~
100 J( 10-1 .
Jt. = =0.148X /Ofi A:WI>
. . 1350" ~.. x 10-'.x 400x; 10-fi .
The equivalentmagneticcircui~for thissystemis shownio Ftgo1.35..andlheprobo-
lem inay be solvedby writingmmfequationsfor the'two Ioopsemployingbranch
ftuxes.Thuso
'0
:7= ~Irbl +'~A>2
O = ÇjfIrb~-91:rb2
'Theseareanalogous10equalionsof polentialditrerencefor adc circuil..Also.
di, =.4>:+ 4>"
.Ii, "
J
.;;......
rag. 1.35, 'l::qui~lenl magnellc cirl'lll' "'r Ihl: q '(~m o
'ofFig. t.3!J. . .:
. ..-4 . ... .
This is anaJogousto a~~t equatioÍlara~. S~bstilutiOI1of lhe \"aiuc'i.ofmmf
, ..andreluctancesin these~tioris gives . :.:~: .,
" .
12:.5x IO-ft =0.53'1rb4+Ô~I484>:
O = -o. I48'rb:~t)0531di,
O=-4>,-r4>2+.r1>3
Solutionof Ihesecqtlations.yields
di, =19.3". 10-. W~
di:=15.1><IO-~ Wb
dl3.=4.21x 10-6 ~b
fromwhichthefoUowingvaluesareobtained:
B =,di, =19.3x 10-6=000965T
I A 200x 10-'; .I .
.' '.L I ~ I x 10-6 .
B =~ = -' =0;{)377.T
2 A 400x IO-~2 .
-L 4" 1 x 10-'; .
B =~ = .'- =0.0210T
:t .43 200X 10-6