Find the expression for the equivalent resistance of 3 resistors (R1.R2.R3) connected in parallel. Sol. In a parallel connection, voltage drops across the resistors so: Using, Ohm's Law V = | we derive, that 1 = V1/ 12 = V2/ | 13=V3/ Since, the voltage is the same on all resistors, then V = V = Substituting to the, first equation above, we get the following |- V1/ + V2/ + V3/ So: 1 1 1 + R2 1 Reg R1 R3

Find the expression for the equivalent resistance of 3 resistors (R1.R2.R3) connected in parallel. Sol. In a parallel connection, voltage drops across the resistors so: Using, Ohm's Law V = | we derive, that 1 = V1/ 12 = V2/ | 13=V3/ Since, the voltage is the same on all resistors, then V = V = Substituting to the, first equation above, we get the following |- V1/ + V2/ + V3/ So: 1 1 1 + R2 1 Reg R1 R3

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter21: Circuits And Dc Instruments

Section: Chapter Questions

Problem 53PE: A 1,00-?O voltmeter is placed in parallel with a 75.0kresistor in a circuit, (a) Draw a circuit...

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A 1,00-?O voltmeter is placed in parallel with a 75.0kresistor in a circuit, (a) Draw a circuit diagram of the connection, (b) What is the resistance of the combination? If the voltage across the combination is kept the same as it was across the 75.0-kresistor alone, what is the percent increase in current? (d) If the current through the combination is kept the same as it was through the 75.0-kresistor alone, what is the percentage decrease in voltage? (e) Are the changes found in parts (c) and (d) significant? Discuss.
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