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
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R 2
12 ohms
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R 3
25 ohms
FIGURE 10.11
Solving for total resistance in a series circuit in Example 10.12.
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