(c) The circuit in Figure 2.1 is a simple voltage-divider configuration that uses two resistors in series to createan output voltage, Vo which is a fraction of the input voltage, V₁. The basic circuit laws dictate that thecircuit current, I and the resultant voltage division output, Vo of this basic circuit configuration can beexpressed as:Pre-Lab workspaceVoTable 2.1| =IV₁Rx + Ry=+ OIf the input voltage, V₁= 15 volts, and resistors Rx = 10 k and Ry = 5.0 k, find the values of the outputvoltage, Vo and the circuit current, I by using the above expressions. Record the results in Table 2.1.RxVoRyRyVo =VoRyRy + Rx.V₁Figure 2.1: Simple voltage-divider circuitRxRyVoFor the resistor values selected for circuits in Figure 2.0 and Figure 2.1, and comparing your results in Table 2.0with those in Table 2.1, answer the following questions:(i) Why would the value of I = I₁ and Vo = V₂ (or V³)? Explain.(ii) Would it be reasonable to conclude that resistor, Ry value chosen must be equivalent to the value of parallelresistors, R₂ and R3 combined? Why? (b) The simple DC circuit in Figure 2.0 is powered by a 15 volts DC battery input-source (V₁) which will causecurrents to flow through the resistors, R₁, R₂ and R3 as illustrated. When current flows through a resistor, itcreates a voltage across the resistor as governed by the Ohm's Law expression, V = I.R. The Kirchhoff'sCurrent Law (KCL) states that the sum of all currents entering (or leaving) a node is zero. Therefore, I₁ +(- 1₂) + (-13) = 0, resulting in I₁ = I₂ + 13.Even though the basic circuit laws may not be fully covered in class as yet, you may use the above circuitlaw expressions to determine the missing values in Table 2.0. Show your analysis on the below workspaceprovided. Note: 1 mA = 1x10-³A = 0.001A; and 1 kQ=1x10³Q=1000QPre-Lab workspaceV₁(15 volts)V₂V35 volts←4₂₁₂Table 2.0+I₁R₁ (10 km)wwwV₁Figure 2.0: Simple D.C. circuit for voltage and current measurementsR₂(10 kn)I₂0.5 mA↓13+R3(10 ΚΩ)What relationship exists between voltages V₂ and V3? and between currents, I2 and 13? Why?Was the voltage relationship V₁ = V₁ + (V₂ or V3) established? If so, why would it be the case?If the resistor, R₁ is replaced with a wire (i.e. make R₁ = 0 22), intuitively what might the resultant value of thevoltage, V3 be? Explain.

Answered: Image /qna-images/answer/630c325d-30c0-435d-b520-95702459c665.jpg

(c) The circuit in Figure 2.1 is a simple voltage-divider configuration that uses two resistors in series to create an output voltage, Vo which is a fraction of the input voltage, V₁. The basic circuit laws dictate that the circuit current, I and the resultant voltage division output, Vo of this basic circuit configuration can be expressed as: Pre-Lab workspace Vo Table 2.1 V₁ | = Rx + Ry I If the input voltage, V₁= 15 volts, and resistors Rx = 10 k and Ry = 5.0 kN, find the values of the output voltage, Vo and the circuit current, I by using the above expressions. Record the results in Table 2.1. Rx Vo Ry Ry Vo = Ry Ry + Rx .V₁ Figure 2.1: Simple voltage-divider circuit Rx Ry + Vo For the resistor values selected for circuits in Figure 2.0 and Figure 2.1, and comparing your results in Table 2.0 with those in Table 2.1, answer the following questions: (i) Why would the value of I = I₁ and Vo = V₂ (or V3)? Explain. (ii) Would it be reasonable to conclude that resistor, Ry value chosen must be equivalent to the value of parallel resistors, R₂ and R3 combined? Why?

(c) The circuit in Figure 2.1 is a simple voltage-divider configuration that uses two resistors in series to create an output voltage, Vo which is a fraction of the input voltage, V₁. The basic circuit laws dictate that the circuit current, I and the resultant voltage division output, Vo of this basic circuit configuration can be expressed as: Pre-Lab workspace Vo Table 2.1 V₁ | = Rx + Ry I If the input voltage, V₁= 15 volts, and resistors Rx = 10 k and Ry = 5.0 kN, find the values of the output voltage, Vo and the circuit current, I by using the above expressions. Record the results in Table 2.1. Rx Vo Ry Ry Vo = Ry Ry + Rx .V₁ Figure 2.1: Simple voltage-divider circuit Rx Ry + Vo For the resistor values selected for circuits in Figure 2.0 and Figure 2.1, and comparing your results in Table 2.0 with those in Table 2.1, answer the following questions: (i) Why would the value of I = I₁ and Vo = V₂ (or V3)? Explain. (ii) Would it be reasonable to conclude that resistor, Ry value chosen must be equivalent to the value of parallel resistors, R₂ and R3 combined? Why?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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