Geoscience Reference
In-Depth Information
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FIGURE 11.26
Series circuit.
11.7.6 s eries dC C irCuit C haraCteristiCs
As previously mentioned, an electric circuit is made up of a voltage source, the necessary con-
necting conductors, and the effective load. If the circuit is arranged so the electrons have only one
possible path, the circuit is a series circuit . A series circuit, then, is defined as a circuit that contains
only one path for current flow. Figure 11.26 shows a series circuit having several loads (resistors).
Key Point: A series circuit is a circuit having only one path for the current to flow along.
11.7.6.1 Series Circuit Resistance
To follow its electrical path, the current in a series circuit must flow through resistors inserted in the
circuit (see Figure 11.27); 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
(11.26)
where
R T = Total resistance (Ω).
R 1 , R 2 , R 3 = Resistance in series (Ω).
R n = Any number of additional resistors in the series.
EXAMPLE 11.26
Problem: Three resistors of 10 ohms, 12 ohms, and 25 ohms are connected in series across a battery
whose emf is 110 volts (Figure 11.27). What is the total resistance?
R 1
10 ohms
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R 2
12 ohms
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R 3
25 ohms
FIGURE 11.27
Solving for total resistance in a series circuit.
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