By J. David Irwin

* bankruptcy choice covers the entire beneficial themes for a simple knowing of circuit research. Op-Amp assurance is built-in all through while applicable in chapters 3,4,5 and 8.

* Irwin does it larger than the other textual content out there! This short textual content bargains scholars the main obtainable and confirmed presentation of any circuit research textual content to be had. via real-world examples and reader pleasant causes scholars can be encouraged to benefit this subject .

* perform makes ideal. With the inclusion of many instance difficulties to the functions sections in the course of the textual content and the provision of eGrade, an online quizzing functionality scholars can have the chance to perform, perform, practice...that is till they get it right.

* Are you thinking about how good your scholars are greedy strategies? exact workouts and drill difficulties support scholars investigate right problem-solving thoughts had to resolve bankruptcy problems.

* strategies are continuously to be had! Irwin bargains quite a few end-of-chapter difficulties that variety from easy to complicated. uncomplicated difficulties, which graduate in hassle are additional subdivided and referenced to bankruptcy subsections whereas the extra complex difficulties require using a number of concepts without information. additionally incorporated are difficulties, which scholars would normally locate at the FE Exam.

* New! Web-based studying - Circuit options is an cutting edge web-based studying web site to be had along with this article. scholars stroll via conscientiously produced options to pick finish of bankruptcy difficulties one step at a time. the positioning illustrates the required strategies that are meant to be utilized while fixing every one challenge. very important theories and definitions are highlighted during the software, solidifying the major suggestions taught within the publication.

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**Extra info for A Brief Introduction to Circuit Analysis**

**Example text**

30b the two 3-kfl resistors are in series and their combination is in parallel with the 6-kfl resistor. Combining all three resistances yields the circuit shown in Fig. 30c. Applying Kirchhoff's voltage law to the circuit in Fig. 30c yields l1(9k + 3k) = 12 11 = l mA LEARNING by Doing D 2. 7 Find V O in the following network: + 2kf! 3V 2 kf! ANSWER V0 = 1V 2 kf! 6 CIRCUITS WITH SERIES-PARALLEL COMBINATION OF RESISTORS 39 11 9kf1 f2 + i,;, 12V + Vi, 6kf1 + i,; 4kf1 l, l1 9 kf1 9kf1 3kf1 12 V 3kf1 i,;, 12V LI 1t2 + 9V _ 312 mA + 3W 9kf1 3V 6W 312 fv + 9kf1 f mA + + + tv 4kf1 V 3kf1 3 kf1 (c) (d) Va can be calculated from Ohm's law as Va - Vb= 3k/ 3 3 3 - vb= V 0 = f 1(3k) 2 =3V 3 Vb= -V 2 or, using Kirchhoff's voltage law, = 12 - 9k/ 1 = 12 - 9 =3V V0 Knowing/ 1 and Va, we can now determine all currents and voltages in Fig.

SOLUTION To begin our analysis of the network, we start at the right end of the circuit and combine the resistors to determine the total resistance seen by the 12-V source. This will allow us to calculate the current I 1. Then employing KVL, KCL, Ohm's law, and/or voltage and current division, we will be able to calculate all currents and voltages in the network. At the right end of the circuit, the 9-kfl and 3-kfl resistors are in series and, thus, can be combined into one equivalent 12-kfl resistor.

At the right end of the circuit, the 9-kfl and 3-kfl resistors are in series and, thus, can be combined into one equivalent 12-kfl resistor. This resistor is in parallel with the 4-kfl resistor, and their combination yields an equivalent 3-kD resistor, shown at the right edge of the circuit in Fig. 30b. In Fig. 30b the two 3-kfl resistors are in series and their combination is in parallel with the 6-kfl resistor. Combining all three resistances yields the circuit shown in Fig. 30c. Applying Kirchhoff's voltage law to the circuit in Fig.