Figure P1.10 shows a two-resistor current divider fed with an ideal current source I. Therefore it is important to develop a facility for dealing with current dividers in circuit analysis. If a 10-k load is to be connected, what must be done? What is the name of the circuit you must use? How many resistors are needed? What is (are) the(ir) value(s)? What is the range of current through the load?ġ.10 Current dividers play an important role in circuit design. This circuit limitation, occurring, for example, at the peak of a sine-wave signal, will lead to undesirable signal distortion that must be avoided. For loads causing more than 1 V to appear across the generator, the output current is no longer assured but will be reduced by some unknown amount. Assuming the resistor values to be exact, what is the actual output voltage produced? Which resistor must be shunted (paralleled) by what third resistor to create a voltage-divider output of 5.00 V? If an output resistance of exactly 3.33 k is also required, what do you suggest?ĭ 1.13 A particular electronic signal source generates currents in the range 0 mA to 0.5 mA under the condition that its load voltage not exceed 1 V. What is the output resistance (i.e., the Th´evenin resistance) of each?ĭ *1.9 Two resistors, with nominal values of 4.7 k and 10 k, are used in a voltage divider with a +15-V supply to create a nominal +5-V output. With a voltage divider using some or all of your resistors, how many positive-voltage sources of magnitude less than 9 V can you design? List them in order, smallest first. = Multisim/PSpice * = difficult problem ** = more difficult *** = very challenging D = design problemĭ 1.8 You are given three resistors, each of 10 k, and a 9-V battery whose negative terminal is connected to ground. Assuming exact-valued resistors, what output voltage (measured to ground) and equivalent output resistance result? If the resistors used are not ideal but have a ±5% manufacturing tolerance, what are the extreme output voltages and resistances that can result? ġ.7 A two-resistor voltage divider employing a 2-k and a 3-k resistor is connected to a 5-V ground-referenced power supply to provide a 2-V voltage. Observe that this is the Th´evenin equivalent of the voltage-divider circuit. The circuit looking back at node X is equivalent to that shown in Fig. Its function is to generate a voltage VO (smaller than the power-supply voltage VDD ) at its output node X. Voltage Dividers 1.6 Figure P1.6(a) shows a two-resistor voltage divider. If the original resistor is 10 k, what is the value of the shunting resistor needed to reduce the combined value by 1%, 5%, 10%, and 50%? What is the result of shunting a 10-k resistor by 1 M? By 100 k? By 10 k? Often, particularly during circuit testing, one resistor is already installed, in which case the second, when connected in parallel, is said to “shunt” the first.
#Multisim 14.1 resistor chips series
(Hint: In your search, first consider all parallel combinations, then consider series combinations, and then consider series-parallel combinations, of which there are two kinds.) 1.5 In the analysis and test of electronic circuits, it is often useful to connect one resistor in parallel with another to obtain a nonstandard value, one which is smaller than the smaller of the two resistors.
How many different resistances can you create using series and parallel combinations of these three? List them in value order, lowest first. R = 1 k, I = 5 mA V = 5 V, I = 1 mA V = 10 V, P = 100 mW I = 0.1 mA, P = 1 mW R = 1 k, P = 1 WĬombining Resistors 1.4 You are given three resistors whose values are 10 k, 20 k, and 40 k. For each pair identified below, find the other two: (a) (b) (c) (d) (e) For each, calculate the power dissipated in the resistor and the power rating necessary for safe operation using standard components with power ratings of 1/8 W, 1/4 W, 1/2 W, 1 W, or 2 W: (a) (b) (c) (d) (e) (f)ġ k conducting 20 mA 1 k conducting 40 mA 100 k conducting 1 mA 10 k conducting 4 mA 1 k dropping 20 V 1 k dropping 11 Vġ.3 Ohm’s law and the power law for a resistor relate V, I, R, and P, making only two variables independent. 1.2 Measurements taken on various resistors are shown below. Note: Volts, milliamps, and kilohms constitute a consistent set of units. For each of the situations following, find the missing item: (a) (b) (c) (d) Resistors and Ohm’s Law 1.1 Ohm’s law relates V, I, and R for a resistor. The problems are grouped in appropriate categories. For a summary of Th´evenin’s and Norton’s theorems, refer to Appendix D. PROBLEMS Circuit Basics As a review of the basics of circuit analysis and in order for the readers to gauge their preparedness for the study of electronic circuits, this section presents a number of relevant circuit analysis problems.
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