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ammeter model consists of an ideal ammeter in series with a resistance The ammeter model is placed in the branch as shown in the gure Find the current through R3 both with and without the ammeter in the circuit for the following values, assuming that VS = 10 V, RS = 10 , R1 = 1 k , and R2 = 100 : (a) R3 = 1 k , (b) R3 = 100 , (c) R3 = 10 , (d) R3 = 1

cantilevered beam loaded by the force F Strain gauges R1 , R2 , R3 , and R4 are attached to the beam as shown in Figure P261 and connected into the circuit shown The force causes a tension stress on the top of the beam that causes the length (and therefore the resistance) of R1 and R4 to increase and a compression stress on the bottom of the beam that causes the length [and therefore the resistance] of R2 and R3 to decrease This causes a voltage 50 mV at node B with respect to node A Determine the force if: Ro = 1 k w = 25 mm VS = 12 V h = 100 mm L = 03 m Y = 69 GN/m2

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cantilevered beam loaded by a force F Strain gauges R1 , R2 , R3 , and R4 are attached to the beam as shown and connected into the circuit shown The force causes a tension stress on the top of the beam that causes the length (and therefore the resistance) of R1 and R4 to increase and a compression stress on the bottom of the beam that causes the length (and therefore the resistance) of R2 and R3 to decrease This generates a voltage between nodes B and A Determine this voltage if F = 13 MN and: Ro = 1 k w = 3 cm VS = 24 V h = 7 cm L = 17 m Y = 200 GN/m2

his chapter will illustrate the fundamental techniques for the analysis of resistive circuits The methods introduced are based on the circuit laws presented in 2: Kirchhoff s and Ohm s laws The main thrust of the chapter is to introduce and illustrate various methods of circuit analysis that will be applied throughout the book The rst topic is the analysis of resistive circuits by the methods of mesh currents and node voltages; these are fundamental techniques, which you should master as early as possible The second topic is a brief introduction to the principle of superposition Section 35 introduces another fundamental concept in the analysis of electrical circuits: the reduction of an arbitrary circuit to equivalent circuit forms (Th venin and Norton equivalent circuits) In this section it will e be shown that it is generally possible to reduce all linear circuits to one of two equivalent forms, and that any linear circuit analysis problem can be reduced to a simple voltage or current divider problem The Th venin and Norton equivalent e representations of electrical circuits naturally lead to the description of electrical circuits in terms of sources and loads This notion, in turn, leads to the analysis of the transfer of power between a source and a load, and of the phenomenon of source loading Finally, some graphical and numerical techniques are introduced for the analysis of nonlinear circuit elements Upon completing this chapter, you should have developed con dence in your ability to compute numerical solutions for a wide range of resistive circuits Good

A typical IC one-shot circuit based on the 74123 (see the data sheet at the end of the chapter) is displayed in Figure 1560 The 74123 is a dual one-shot, meaning that the package contains two monostable multivibrators, which can be used independently The outputs of the one-shot are indicated by the symbols Q1 , Q1 , Q2 , and Q2 , where the bar indicates the complement of the output For example, if Q1 corresponds to a positive-going output pulse, Q1 indicates a negative-going output pulse, of equal duration

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