Environmental Engineering Reference
In-Depth Information
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FIGURE 10.10
Series circuit.
s
eries
C
irCuit
r
esistanCe
To follow its electrical path, the current in a series circuit must flow through resistors
inserted in the circuit (see Figure 10.10); thus, each additional resistor offers added
resistance. In a series circuit, the total circuit resistance
(
R
T
) is equal to the sum of
the individual resistances, or
R
T
=
R
1
+
R
2
+
R
3
+ … +
R
n
(10.8)
where
R
T
= Total resistance (W).
R
1
,
R
2
,
R
3
= Resistance in series (W).
R
n
= Any number of additional resistors in the series.
■
Example 10.12
Problem:
Three resistors of 10 ohms, 12 ohms, and 25 ohms are connected in series
across a battery whose emf is 110 volts (Figure 10.11). What is the total resistance?
Solution:
Given:
R
1
= 10 ohms
R
2
= 12 ohms
R
3
= 25 ohms
R
1
10 ohms
+
R
2
12 ohms
-
R
3
25 ohms
FIGURE 10.11
Solving for total resistance in a series circuit in Example 10.12.
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