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Problem #3 You are going to build the following circuit with two resistors Rị and R2 in parallel with a DC voltage source Vs. The equivalent resistance Req of the parallel resistors is given by: Vs R, R2 1-1 Rea R2 For your design, you select Rị to be 220 N, R2 to be 2000 2, and Vs to be 500 V. After looking at an online parts catalog, you buy these standard resistors with the stated tolerances': R1 = 220 2 ± 5%, R2 = 2000 2 ± 10% The operating guide for the DC voltage source you bought says it will output 500 V ± 2%. Questions Express resistance in ohms (Q), current in amperes (A), and power in watts (W). For Parts (a) and (b), round your answer to three (3) decimal places. a) If you could magically make R1 be exactly 220 2 (perfect accuracy, no sig-fig wories), R2 be exactly 2000 2, and Vs be exactly 500 V, what would be the value of current ľ? b) For the ideal case of Part (a), how much power would be dissipated by the combined resistive load (or, equivalently, how much power does the source need to supply)? For Parts (c) and (d), round your answer to the nearest penny ($0.01). c) Without doing any measurements yet, compute the theoretical best case cost (i.e., least expensive) of running the circuit for a period of 1 week if the cost of electricity is $O.10 per kWh (kilowatt-hour). You may assume there are 7 days in a week and 24 hours in a day. Hint: Consider the tolerance ranges of the resistors and voltage sources.

Problem #3 You are going to build the following circuit with two resistors Rị and R2 in parallel with a DC voltage source Vs. The equivalent resistance Req of the parallel resistors is given by: Vs R, R2 1-1 Rea R2 For your design, you select Rị to be 220 N, R2 to be 2000 2, and Vs to be 500 V. After looking at an online parts catalog, you buy these standard resistors with the stated tolerances': R1 = 220 2 ± 5%, R2 = 2000 2 ± 10% The operating guide for the DC voltage source you bought says it will output 500 V ± 2%. Questions Express resistance in ohms (Q), current in amperes (A), and power in watts (W). For Parts (a) and (b), round your answer to three (3) decimal places. a) If you could magically make R1 be exactly 220 2 (perfect accuracy, no sig-fig wories), R2 be exactly 2000 2, and Vs be exactly 500 V, what would be the value of current ľ? b) For the ideal case of Part (a), how much power would be dissipated by the combined resistive load (or, equivalently, how much power does the source need to supply)? For Parts (c) and (d), round your answer to the nearest penny ($0.01). c) Without doing any measurements yet, compute the theoretical best case cost (i.e., least expensive) of running the circuit for a period of 1 week if the cost of electricity is $O.10 per kWh (kilowatt-hour). You may assume there are 7 days in a week and 24 hours in a day. Hint: Consider the tolerance ranges of the resistors and voltage sources.

Introductory Circuit Analysis (13th Edition)
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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Problem #3 You are going to build the following circuit with two resistors R1 and R2 in parallel with a DC voltage source Vs. The equivalent resistance Reg of the parallel resistors is given by: Vs R, R2 1-1 + R1 'R2. Rea For your design, you select Rị to be 220 2, R2 to be 2000 2, and Vs to be 500 V. After looking at an online parts catalog, you buy these standard resistors with the stated tolerances': RI = 220 2 ±5%, R2 = 2000 2 ± 10% The operating guide for the DC voltage source you bought says it will output 500 V ± 2%. Questions Express resistance in ohms (2), current in amperes (A), and power in watts (W). For Parts (a) and (b), round your answer to three (3) decimal places. a) If you could magically make R1 be exactly 220 2 (perfect accuracy, no sig-fig worries), R2 be exactly 2000 2, and Vs be exactly 500 V, what would be the value of current ľ? b) For the ideal case of Part (a), how much power would be dissipated by the combined resistive load (or, equivalently, how much power does the source need to supply)? For Parts (c) and (d), round your answer to the nearest penny ($0.01). c) Without doing any measurements yet, compute the theoretical best case cost (i.e., least expensive) of running the circuit for a period of 1 week if the cost of electricity is $0.10 per kWh (kilowatt-hour). You may assume there are 7 days in a week and 24 hours in a day. Hìnt: Consider the tolerance ranges of the resistors and voltage sources. d) Repeat Part (d), but now calculate the worst case cost (i.e., most expensive). e) Suppose you actually measure the purchased resistor components with an old multimeter and get these results: R1 = 217 Q, R2 = 2150 Q. Also, the measured voltage was 495.3 V. State the possible range for each measured value given the reported number of significant figures. f) Using the reported significant figures for each measured value from Part (e), calculate the current I using the formal rules of significant figure arithmetic.
Transcribed Image Text:Problem #3 You are going to build the following circuit with two resistors R1 and R2 in parallel with a DC voltage source Vs. The equivalent resistance Reg of the parallel resistors is given by: Vs R, R2 1-1 + R1 'R2. Rea For your design, you select Rị to be 220 2, R2 to be 2000 2, and Vs to be 500 V. After looking at an online parts catalog, you buy these standard resistors with the stated tolerances': RI = 220 2 ±5%, R2 = 2000 2 ± 10% The operating guide for the DC voltage source you bought says it will output 500 V ± 2%. Questions Express resistance in ohms (2), current in amperes (A), and power in watts (W). For Parts (a) and (b), round your answer to three (3) decimal places. a) If you could magically make R1 be exactly 220 2 (perfect accuracy, no sig-fig worries), R2 be exactly 2000 2, and Vs be exactly 500 V, what would be the value of current ľ? b) For the ideal case of Part (a), how much power would be dissipated by the combined resistive load (or, equivalently, how much power does the source need to supply)? For Parts (c) and (d), round your answer to the nearest penny ($0.01). c) Without doing any measurements yet, compute the theoretical best case cost (i.e., least expensive) of running the circuit for a period of 1 week if the cost of electricity is $0.10 per kWh (kilowatt-hour). You may assume there are 7 days in a week and 24 hours in a day. Hìnt: Consider the tolerance ranges of the resistors and voltage sources. d) Repeat Part (d), but now calculate the worst case cost (i.e., most expensive). e) Suppose you actually measure the purchased resistor components with an old multimeter and get these results: R1 = 217 Q, R2 = 2150 Q. Also, the measured voltage was 495.3 V. State the possible range for each measured value given the reported number of significant figures. f) Using the reported significant figures for each measured value from Part (e), calculate the current I using the formal rules of significant figure arithmetic.
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