1.
Consider the squarecore inductor. Neglect leakage.
Provide numerical answers and indicate units in
side [ ]  use scientific notation for large/small numbers (e.g.
). Must show work for credit.
2. Neglect resistances.
3
10
6
–
×
2 cm
2 cm
12 cm
3
0
10
H/m
r
μ μ

=
2 A
20 Turns
ℜ
l
1
ℜ
l
2
10
ℜ
m
=
=
+

+

A
A
V
1
t
( )
2 44
20
t
(
)
cos
V
=
X
m
1
_______
Ω
=
X
l
1
_______
Ω
=
I
˜
1
__________
=
I
1
t
( )
2_____
____
t
____
°
+
(
)
cos
=
ℜ
m
10
5
H
1
–
=
N
1
100
=
N
2
200
=
v
1
i
1
v
2
(20)
(25)
H
____________[
]
=
B
____________[
]
=
Φ
____________[
]
=
λ
____________[
]
=
L
inductance
(
)
____________[
]
=
[O i]
[O i]
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3.
4.
1’
1
2
2’
θ
r
L
11
L
22
L
12 max
,
5 mH
=
=
=
T
e
(a)
Superimpose and label the magnetic axes for the 1 and
2windings on the figure to the left.
(b)
mH
(c) If
, sketch the locations of
,
,
and
on figure to left. (circle one)
,
(d) If
and
,
V
L
21
θ
r
(
)
____
_____
____
θ
r
____
°
+
(
)
cos
+
=
i
1
i
2
1A
=
=
N
s
S
s
N
r
S
r
T
e
0
>
T
e
0
<
i
1
i
2
1A
=
=
θ
r
60
t
=
V
1
t
( )
_______
______
t
______
°
+
(
)
cos
=
1’
1
θ
r
,
(a)
mH
(b) If
and the load torque is zero, sketch (in space be
low the figure to left) the cross sectional view at the stable equi