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The Fundamentals of Engineering (FE) examination1 is one of four steps to be completed toward registering as a Professional Engineer (PE) Each of the 50 states in the United States has laws that regulate the practice of engineering; these laws are designed to ensure that registered professional engineers have demonstrated suf cient competence and experience The same exam is administered at designated times throughout the country, but each state s Board of Registration administers the exam and supplies information and registration forms You will nd a Web reference to the phone numbers of the Boards of Registration in the 50 states in the accompanying CD-ROM The four steps required to become a Professional Engineer are: 1 Education Usually satis ed by completing a BS degree in engineering from an accredited college or university 2 Fundamentals of Engineering Examination An 8-hour examination described in the next section of this appendix 3 Experience Following successful completion of the Fundamentals of Engineering Examination, 2 to 4 years of engineering experience are required

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Summarizing the procedure, we can produce a set of simple rules as an aid in the computation of the Th venin (or Norton) equivalent resistance for a linear e resistive circuit:

Computation of Equivalent Resistance of a One-Port Network 1 Remove the load 2 Zero all independent voltage and current sources 3 Compute the total resistance between load terminals, with the load removed This resistance is equivalent to that which would be encountered by a current source connected to the circuit in place of the load We note immediately that this procedure yields a result that is independent of the load This is a very desirable feature, since once the equivalent resistance has been identi ed for a source circuit, the equivalent circuit remains unchanged if we connect a different load The following examples further illustrate the procedure

; R2 = 20 ; I = 5 A;

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To give you a feel for using these data source controls, in this section we ll demonstrate using the Access data source control.

Application Type Telecommunications Web, E-business Sales & Marketing Ordering Document Management Electronic Data Interchange Other Total Projects 81 75 65 64 54 50 475 3426 Percent 24% 22% 19% 19% 16% 15% 139%

Assumptions: Assume reference node is at the bottom of the circuit Analysis: Following the methodology box introduced in the present section, we rst set the current source equal to zero, by replacing it with an open circuit The resulting circuit is depicted in Figure 337 Looking into terminal a-b we recognize that, starting from the left (away from the load) and moving to the right (toward the load) the equivalent resistance is given by the expression

Figure 337 Comments: Note that the reduction of the circuit started at the farthest point away from

V + _

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The easiest way to see how to use these source controls is to try them. To try the Access data source control, follow these steps: 1. Create a new web page application (see Exercise 2-4). 2. Switch to Design view. In the Toolbox window, collapse the Standard Tools tab and then expand the Data Tools tab (see Figure 8-9).

Schematics, Diagrams, Circuits, and Given Data: V = 5 V; R1 = 2 Assumptions: Assume reference node is at the bottom of the circuit

; R2 = 2 ;

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Analysis: Following the Th venin equivalent resistance methodology box, we rst set e the current source equal to zero, by replacing it with an open circuit, then set the voltage source equal to zero by replacing it with a short circuit The resulting circuit is depicted in Figure 339 Looking into terminal a-b we recognize that, starting from the left (away from the load) and moving to the right (toward the load), the equivalent resistance is given by the expression

As a nal note, it should be remarked that the Th venin and Norton equivalent e resistances are one and the same quantity: RT = RN (329)

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