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sin xdx
x
�
���
2
2
�2
2
�2
9
�2 dyx y
dx� �
( )y x x� � � 1
( )y x x� � 1
( )y x x� � 1
( )y x x� � � 1
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�� � � �
1 1
1 1
| |r
� �� ��� �� �
1
rr
1
ˆˆ ˆ( )i j kr
� �3
1
r
r
3
ˆˆ ˆ( )i j k� �
3
8
1
2
5
8
3
4
. F � � 0
F � � � 0
F . dr
�� 0�
Fd
d t
� 0
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ˆˆ ˆa i j k � � �
ˆˆ ˆb i j k � � �
ˆˆ ˆc i j k � � �
, ,a b c
,a b
,b c
a
c
2
3
3
2
1
2
L = M My gy�2�
L = M My gy�21
2�
L = M M ( )y g y x� �21
2�
L = M M ( )y g y x� �2�
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ˆF = .nr
r�1
hol ds
�Ld
dt
�Ld
dt
�Ld
dt
�Ld
dt
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ˆE( , ) E cos [
]
r t z x
y t
� � �
� � �0
200 3
200
k
ˆ ˆx y� � �3
200 2002
ˆ ˆx y� �� � � �
3 1400
2 2
x�200 3
y� �200
B J � � � �
0
EB J
t
�� � � � � � �
�0 0 0
EB
t
�� � � � �
�0 0
EB J
t
�� � � � � � �
�0 0 0
Q
�0
Q
�0
10
Q
�0
6
10Q
�0
V = 3 .x z xy z� �2 3
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n12
s�
2ˆ (D D ) /sn
� � � � �
12 1 0
2ˆ(D D ) /sn
� � � � �
1 12 0
2ˆ(D D ) . /sn
� � � �
1 12 0
2(D D ) . /sn � � � �
1 12 0
�
�
�
mn
c
�� �� � �� ��
2
1
mnc�
��
1
mn
c
�� �� � �� ��1
mnc�� �
� � �� ��
2
1
wi th in t r insic im pedance equal t o
z
z z�2
1 2
2 z z
z z
��
2 1
1 2
z z
z z
��
2 1
1 2
z
z z�2
1 2
z z
z z
��
2 1
1 2
z
z z�2
1 2
2
z
z z�2
1 2
2 z z
z z
��
1 2
1 2
�
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( . )ˆ ˆE( , ) ( E E ) . i k r tr t e e e
��� �1 1 2 2
ˆ ˆande e1 2
; Ek
1
.x� 3
�2�
�� �
2�
+� �3
2�
+�
�32
�
. .r p p r
�
i�
i3 �
x y z
� �� � �� �� �� �� � �
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|aa a a n� � �
|n n �2
( ) |n n� �21
( )|n n n� �1
( )|n n n� �1
�
�
�
�
�
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( )r�
( ) A Bik x ik x
x e e� � �1 1
C Dik x ik xe e
�� �2 2
C *CT =
A *A
C *C D*DT =
A *A + B*B
�
B*B
A*A
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A2 .p
AT / 2
�
�
�
V + Qu p� � � �
V Qu p� � � � �
V Qu p� � � � � �
V Qu p� � � � � �
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jz
iz
Tk
m
3
Tk
m�8
Tk
m
2
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POLYTECHNIC T
RB - PHYSIC
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- 88
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POLYTECHNIC T
RB - PHYSIC
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www.Padasalai.Net www.TrbTnpsc.com
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