electrical power and machines- basic laws_2
TRANSCRIPT
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
1/18
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
2/18
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
3/18
B A S I C
L A W S – P a r a l l e l R
( R e q
)
• F i n d R e
q
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
4/18
P a r a l l e
l r e s i s t o r s
a n d c u r r e n t d i v i s i o n
2
2
1
1
R i
R i
v
=
=
B A S I C
L A W S
2
1
2
1
R
R i
i R
v
e q
+
=
= i
R
R
R
i
i
R
R R
i
2
1
1
2
2
1
2
1
, y i e l d s
C o m b i
n i n g
+
=
+
=
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
5/18
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
6/18
E x a m p l e . . F i n d R a b
R
a b
= 1
2
Ω Ω Ω Ω
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
7/18
E x a m p l e . . F i n d
R a b
R a b = 1
6
Ω Ω Ω Ω
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
8/18
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
9/18
“ A c a p a c i t o r
c o n s i s t s o f t w o c o n d u c t i n g p l a t e s s e p a r a t e d b y a n i n s u l a t o
r . ” “ R a t i o o f t h e
c h a r g e o n o n e p
l a t e o f c a p a c i t o r t o t h e v o l t a g e d i f f
e r e n c e
b e t w e e n t h e
t w o p l a t e s ”
=
C A P A C
I T O R
d A
C
∈ =
W h e r e
C
a p a c i t a n c e , C
i s m e a s u r e d i n
f a r a d s ,
f
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
10/18
S y m
b o l s f o r c a p a c i t
o r
C A P A C
I T O R
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
11/18
d t
d q
i
C v
q
=
=
,
K n o w
n t h a t
s i d
e ,
b o t h
a t i n g
D i f f e r e n t i
C A P A C
I T O R
d t
C
i =
d t
d v
C v
i v p
=
=
c a p a c
i t o r ,
t h e
a c r o s s
P o w e
r
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
12/18
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
13/18
S e r i e s C a p a c i t o r s
F o r N c a p a
c i t o r s i n s e r i e s
C A P A C
I T O R
N
e q
C
C
C
C
. . .
2
1
+
+
+
=
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
14/18
I n d u c t o r s
“ A n i n d u c t
o r c o n s i s t s o f a c o i l o f c o n d u c t i n g w i r e ” [ 1 ]
d i
L
v =
I N D U C
T O R
t l A
N
L
µ 2
W h e r e
=
I
n d u c t a n c e ,
L i s m e a s u r e d i n
h e n r y s ,
H
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
15/18
S y m b o
l s f o r i n d u c t o r
I N D U C
T O R
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
16/18
v d t
L
d i
d t d i
L
v
1
,
K n o w n t h
a t
=
=
1
1
g i v e s
n ,
I n t e g r a t i o
t
t
I N D U C
T O R
) (
) (
)
(
0
0
t i
v
L
t
t v
L
i
t
+
=
=
∞ −
i
d t
d i
L
i v
p
=
=
i n d u c t o r ,
a n
a c
r o s s
P o w e r
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
17/18
P a r a l l e l I n d u c t o r s
F o r N i n
d u c t o r s i n s e r i e s
+
+
+
=
L
L
L
L
. . .
I N D U C
T O R
∑ =
=
N N
N
e q
L
L
1
-
8/9/2019 Electrical Power and Machines- BASIC LAWS_2
18/18