First pic the question Second pic i did not understand step 3

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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First pic the question Second pic i did not understand step 3
The magnetic circuit shown in
the figure has two windings and
two air gaps. The core can be
assumed to be of infinite
permeability.
dimensions are indicated in the
Core 00
Asca A
The
core
Ara A
N, ms
self-
figure.
inductances of windings I and2
and the mutual inductance
Find
the
Ny turas
between the windings.
Lu N.
I.
Req
NI2.
Reqa Rgill Rgz "
O, - N.I, (Roi +Rs)
N.
N, 1, IRSI +Rs)
I,
Ps, 92
Lu
Mダ。
.. NI
Reg
• Reg - P
N.
NE NI
Ro
Ln ス
N, I
N. NI,
I,
N2NI
L12=
Rg2
Transcribed Image Text:The magnetic circuit shown in the figure has two windings and two air gaps. The core can be assumed to be of infinite permeability. dimensions are indicated in the Core 00 Asca A The core Ara A N, ms self- figure. inductances of windings I and2 and the mutual inductance Find the Ny turas between the windings. Lu N. I. Req NI2. Reqa Rgill Rgz " O, - N.I, (Roi +Rs) N. N, 1, IRSI +Rs) I, Ps, 92 Lu Mダ。 .. NI Reg • Reg - P N. NE NI Ro Ln ス N, I N. NI, I, N2NI L12= Rg2
5:08 4
ONI, - is shostefaruit and Rg, is not sequiael at
winding-2 side
Rg2
: Reg, = Rg 2
.. $2 = N2 I2
Rg2
substituti p2 in O,>
L22= N2 x N2 Iz
I2
Rg2
Rg2
.. self Inductomce at winding-2 is
L22= N,2
wheoje N2= Numbey of tuoms at winding-2
K9, > Reluc tance at
gap-2
Step3
c)
Mutual Induct amce Betuoe en the winding-) & winding-2
42= N2 020
Il
But i2 = NII
Rgz
put O in0 > 412= 2 x Ni Il
Il
La mutual Inductamce
Rg2
> L12 = NIN2
Transcribed Image Text:5:08 4 ONI, - is shostefaruit and Rg, is not sequiael at winding-2 side Rg2 : Reg, = Rg 2 .. $2 = N2 I2 Rg2 substituti p2 in O,> L22= N2 x N2 Iz I2 Rg2 Rg2 .. self Inductomce at winding-2 is L22= N,2 wheoje N2= Numbey of tuoms at winding-2 K9, > Reluc tance at gap-2 Step3 c) Mutual Induct amce Betuoe en the winding-) & winding-2 42= N2 020 Il But i2 = NII Rgz put O in0 > 412= 2 x Ni Il Il La mutual Inductamce Rg2 > L12 = NIN2
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