Biomedical Engineering Reference
In-Depth Information
In general, if a circuit contains
resistors in series, the voltage divider rule gives the volt-
age across any one of the resistors,
N
R i ,as
R i
V i ¼ V s
ð
9
:
16
Þ
þ R
þ R N
R
1
2
Current Divider Rule
The current divider rule allows us to easily calculate the current through any resistor in
parallel resistor circuits. Consider finding
I 2 in the parallel circuit shown in Figure 9.19,
R
R
2
R 1 þ R 2
1
where
R EQ ¼
. Accordingly,
I 2 ¼ V s
R 2
and
R 1 R 2
R 1 þ R 2
V s ¼ I
yielding after substituting
V s
1
R
2
I 2 ¼ I
1
R
1
R
1 þ
2
In general, if a circuit contains
resistors in parallel, the current divider rule gives the
current through any one of the resistors,
N
R i
,as
1
R i
I i ¼ I
ð
9
:
17
Þ
1
R 1 þ
1
R 2 þ
1
R N
I
I 1
I 2
+
V S
R 1
R 2
FIGURE 9.19
Current divider rule circuit.
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