Massachusetts institute of Technology Department of Nuclear Science and Engineering Department of Electrical Engineering and Computer Science 22.071, 6.071 - Introduction to Electronics, Signals and Measurement Spring 2006 Homework 2 Due 2/22/06 Problem 1. A voltage divider is formed with resistors R1 and R2. A voltmeter is used to measure the voltage across resistor R2. The following table gives the values for the measured voltage Vo as a function of resistors R1 and R2 and the ideal voltage source VB. VB (Volts) R1 (Ohms) R2 (Ohms) Vo (Volts) 5 1000 1000 2.498 5 10000 10000 2.475 5 100000 100000 2.273 5 500000 500000 1.667 1. From these data develop a simple circuit model for the voltage measuring device. 2. Give the parameters for an ideal voltmeter (i.e a device which for the above cases will always measure 2.50 Volts.Problem 2. We know have an ideal voltmeter and we measure the voltage across R2 with the following results VB (Volts) R1 (Ohms) R2 (Ohms) Vo (Volts) 5 1000 1000 1.667 5 10000 10000 2.381 5 100000 100000 2.488 5 500000 500000 2.498 1. Now develop a simple model for the voltage source 2. How would you design an ideal voltage source? Problem 3. The hatched rectangles in the circuit below represent general two terminal elements with the polarity and voltage drop across them as indicated. Use Kirchhoff’s laws to determine the unknown voltages V1, V2, V3, V4. +++-+++++------4 VV33 VV1V42 V V2 -4 VProblem 4. Find the equivalent resistance of the following resistor networks at the terminals A-B 30 Ω 20 Ω 10 Ω 5 ΩReqAB 10 Ω 30 Ω 40 Ω 30 Ω 20 Ω10 ΩReqAB ARRRRRRRRRRBReq Hint: 1∞+
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