112
Practical MATLAB
® Applications for Engineers
Observe that indeed
I
I
I
R
R
R
I
R
R
R
I
T
T
T
ϭ ϩ ϭ
ϩ
ϩ ϩ
1
2
2
1
2
1
1
2
(KCL)
R.2.53 An applied voltage V T across a series connection consisting of two resistors R 1 and
R 2 divides the voltage V T into two voltage drops V 1 and V 2 as indicated in Fig ure 2.6.
Each voltage is a function of R 1 , R 2 , and V T referred to as the voltage divider rule given
by the following relation:
V
R
R
R
V T
1
1
1
2
ϭ
ϩ
V
R
R
R
V T
2
2
1
2
ϭ
ϩ
where indeed V T = V 1 + V 2 =
R 1
_______
R 1 + R 2
V T +
R 2
_______
R 1 + R 2
V T (KVL)
FIGURE 2.5
Current divider network.
I T
I 1
I 2
R 2
R 1
FIGURE 2.6
Voltage divider network.
V T
R 1
V 1
V 2
R 2
CRC_47760_CH002.indd 112
CRC_47760_CH002.indd 112
7/23/2008 1:38:37 PM
7/23/2008 1:38:37 PM
Practical MATLAB
® Applications for Engineers
Observe that indeed
I
I
I
R
R
R
I
R
R
R
I
T
T
T
ϭ ϩ ϭ
ϩ
ϩ ϩ
1
2
2
1
2
1
1
2
(KCL)
R.2.53 An applied voltage V T across a series connection consisting of two resistors R 1 and
R 2 divides the voltage V T into two voltage drops V 1 and V 2 as indicated in Fig ure 2.6.
Each voltage is a function of R 1 , R 2 , and V T referred to as the voltage divider rule given
by the following relation:
V
R
R
R
V T
1
1
1
2
ϭ
ϩ
V
R
R
R
V T
2
2
1
2
ϭ
ϩ
where indeed V T = V 1 + V 2 =
R 1
_______
R 1 + R 2
V T +
R 2
_______
R 1 + R 2
V T (KVL)
FIGURE 2.5
Current divider network.
I T
I 1
I 2
R 2
R 1
FIGURE 2.6
Voltage divider network.
V T
R 1
V 1
V 2
R 2
CRC_47760_CH002.indd 112
CRC_47760_CH002.indd 112
7/23/2008 1:38:37 PM
7/23/2008 1:38:37 PM
