IMG_20191022_100211.jpg - SERIES RESISTORS MY 136 141 SERIES de CIRCUITS The current is limited only by the resistor R The higher the rey EXAMPLE 5.1

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Unformatted text preview: SERIES RESISTORS MY 136 141 SERIES de CIRCUITS The current is limited only by the resistor R. The higher the rey EXAMPLE 5.1 Determine the total resistance of the series conne the less is the current, and conversely, as determined by Ohm's lay In Pig. 5.6. Note that all the resistors appearing in this network are stas For all one voltage By convention (as discussed in Chapter 2), the direction of conven source do circuits current flow (conventional) as shown in Fig. 5.1 is opposite to dard values. Solution: Note in Fig. 5.6 that even though resistor Ry is on the ver FIG. 5.2 electron flow (alston). Also, the uniform flow of charge dictates Beal and resistor R, returns at the bottom to terminal b, all the resis- Defining the direction of conventional flow for direct current / be the same everywhere in the circuit. By following tor are in series since there are only two resistor leads at each rection of conventional flow, we notice that there is a rise in po FIG. 5.6 single-source de circuits. across the battery (- to + ) and a drop in potential across the resistor connection point. Series connection of resistors for Example $ 1 -). For single-voltage-source de circuits, conventional flow always Applying Eq. (5.1) gives V - from a low potential to a high potential when pa Ry - 20 02 + 220 0 + 1.210 + 3610 source, as shown in Fig. 5.2. However, conventional flow always Ry = 7040 0 - 7.04 kf) R from a high to a low potential when passing through a resistor for For any combination of voltage sources in the same de circuit number of voltage sources in the same The circuit in Fig. 5.1 as shown in Fig. 5.3. and FIG. 5.3 For the special case where resistors are the same value, Eq. (5.1) can Defining the polarity resulting from a conventional chapter and the following chapters add elements to the system in specific manner to introduce a range of concepts that will form a current I through a resistive element. part of the foundation required to analyze the most complex system be modified as follows: RT - NR (5.2) aware that the laws, rules, and so on introduced in Chapters 5 and be used throughout your studies of electrical, electronic, or comp systems. They are not replaced by a more advanced set as you pro where / is the number of resistors in series of value R. to more sophisticated material. It is therefore critical that you und the concepts thoroughly and are able to apply the various procedural methods with confidence. EXAMPLE 5.2 Find the total resistance of the series resistors in 15.2 SERIES RESISTORS Fig. 5.7. Again, recognize 3.3 kf) as a standard value. 2 3 10 0 30 0 100 0 Solution: Again, don't be concerned about the change in configura- 33kn Before the series connection is described, first recognize that every tion. Neighboring resistors are connected only at one point, satisfying resistor has only two terminals to connect in a configuration-it is the FIG. 5.7 fore referred to as a two-terminal device. In Fig. 5.4, one terminal of the definition of series elements. FIG. 5.4 sistor R2 is connected to resistor R, on one side, and the remain Eq. (5.2): RT = NR in of four resistors of the so (4)(3.3 kf2) = 13.2 k!? (Example 5.21 Series connection of resistors terminal is connected to resistor Ry on the other side, resulting in a and only one, connection between adjoining resistors. When conne in this manner, the resistors have establis elements were con ed a series connection. If de cted to the same point, as shown in Fig. 5.5, the It is important to realize that since the parameters of Eq. (5.1) can be would not be a series connection between resistors R, and R2. put in any order, 100 30 0 For resistors in series, the total resistance of resistors in series is unaffected by the order in Re $ 220 0 the total resistance of a series configuration is the sum of the which they are connected. resistance levels. The result is that the total resistance in Fig. 5.8(a) is the same as in Fig In equation form for any number (N) of resistors, 5.8(b). Again, note that all the resistors are standard values. FIG. 5.5 n which none of the resistors RT = R1 + R2 + R3 + Rx + ...+ RN are in series. A result of Eq. (5.1) is that NYY Wr the more resistors we add in series, the greater is the resistance, no 20 0 matter what their vaine. 3 2 10 0 Further, the largest resistor in a series combination will have the most impact on the total resistance. For the configuration in Fig. 5.4, the total resistance is RT = RI + RX + R , FIG. 5.8 = 100 + 30 0 + 100 0 Two series combinations of the some elements with the sum and...
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  • Fall '19
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