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(a) A voltmeter and an armmeter can be connected as shown in Fig. 19–83a to measure a resistance R. If V is the voltmeter reading, and / is the ammeter reading, the value of R will not quite be VA (as in Ohm's law) because some current goes through the voltmeter. Show that the actual value of R is 1 1 R V Ry Where Ry is the voltmeter resistance. Note that R = V/I if Ry» R. . (b)A voltmeter and an ammeter can also be connected as shown in Fig. 19-83b to measure a resistance R. Show in this case that V R = – Ra, where V and / are the voltmeter and ammeter readings and RA is the resistance of the arnmeter. Note that R = V/I if RA« R. (V (A A R R (b)

(a) A voltmeter and an armmeter can be connected as shown in Fig. 19–83a to measure a resistance R. If V is the voltmeter reading, and / is the ammeter reading, the value of R will not quite be VA (as in Ohm's law) because some current goes through the voltmeter. Show that the actual value of R is 1 1 R V Ry Where Ry is the voltmeter resistance. Note that R = V/I if Ry» R. . (b)A voltmeter and an ammeter can also be connected as shown in Fig. 19-83b to measure a resistance R. Show in this case that V R = – Ra, where V and / are the voltmeter and ammeter readings and RA is the resistance of the arnmeter. Note that R = V/I if RA« R. (V (A A R R (b)

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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(a) A voltmeter and an ammeter can be connected as shown in Fig. 19-83a to measure a resistance R. If V is the voltmeter reading, and / is the ammeter reading, the value of R will not quite be VI (as in Ohn's law) because some current goes through the voltmeter. Show that the actual value of Ris 1 I 1 - R V Ry Where Ry is the voltrneter resistance. Note that R z V/I if Ry > R. (b) A voltmeter and an ammeter can also be connected as shown in Fig. 19-83b to measure a resistance R. Show in this case that V R RA, I where Vand / are the voltmeter and ammeter readings and Ra is the resistance of the arnmeter. Note that R = V/I if RA « R. V A A R R (a) (b)
Transcribed Image Text:(a) A voltmeter and an ammeter can be connected as shown in Fig. 19-83a to measure a resistance R. If V is the voltmeter reading, and / is the ammeter reading, the value of R will not quite be VI (as in Ohn's law) because some current goes through the voltmeter. Show that the actual value of Ris 1 I 1 - R V Ry Where Ry is the voltrneter resistance. Note that R z V/I if Ry > R. (b) A voltmeter and an ammeter can also be connected as shown in Fig. 19-83b to measure a resistance R. Show in this case that V R RA, I where Vand / are the voltmeter and ammeter readings and Ra is the resistance of the arnmeter. Note that R = V/I if RA « R. V A A R R (a) (b)
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