Electric Circuits, 9th Edition P10. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | 66 Simple Resistive Circuits Example Using Voltage Division and Current Division to Solve a Circuit Use current division to find the current io and use voltage division to find the voltage vo for the circuit in Fig. . Solution We can use Eq. if we can find the equivalent resistance of the four parallel branches containing resistors. Symbolically Kcq 36 44 10 l 40 10 30 24 80 10 80 24 -----p- j------- 6 il. 80 To 80 24 Applying Eq. 8 A 2 A- We can use Ohm s law to find the voltage drop across the 24 if resistor v 24 2 48 V. 36 ft 44 ft 40 ft 10 ft 30 ft r 24 fti Figure The circuit for Example . This is also the voltage drop across the branch containing the 40 ft the 10 ft and the 30 ft resistors in series. We can then use voltage division to determine the voltage drop v across the 30 ft resistor given that we know the voltage drop across the series-connected resistors using Eq. . To do this we recognize that the equivalent resistance of the series-connected resistors is 40 10 30 80 ft 30 48V 18 v- v assessment problem Objective 3 Be able to use voltage and current division to solve simple circuits a Use voltage division to determine the voltage v0 across the 40 ft resistor in the circuit shown. b Use vo from part a to determine the current through the 40 ft resistor and use this current and current division to calculate the current in the 30 ft resistor. c How much power is absorbed by the 50 ft resistor NOTE Also try Chapter Problems and . 40 ft Wv-----j- r - 20ft 70 ft -A W- Answer a 20 V b mA c mW. 30fti 50 ft -AAA----- 10ft Measuring Voltage and Current When working with actual circuits you will often need to measure voltages and currents. We will spend some time discussing several measuring devices here and in the next section because they are relatively simple to analyze and offer practical examples of the current- and voltage-divider configurations we have just studied. An ammeter is an instrument .
