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 LawV=1we derive, thatI1 = V1/12 = V2/I3=V3/Since, the voltage is the same on all resistors, thenV= V1 =Substituting to the, first equation above, we get the followingV2+ VaSo:11+R21Reg RR3

Given: 3 resistors (R1,R2,R3) are connected in parallel

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=1 we derive, that 12 = V2/ I3=V3/ 1 = V1/ Since, the voltage is the same on all resistors, then V= V1 = Substituting to the, first equation above we get the following + V2/ + Va/ |= V1/ So: 1 1 1 1 R1 R2 Rea 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=1 we derive, that 12 = V2/ I3=V3/ 1 = V1/ Since, the voltage is the same on all resistors, then V= V1 = Substituting to the, first equation above we get the following + V2/ + Va/ |= V1/ So: 1 1 1 1 R1 R2 Rea 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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