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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: | = |1+ 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 = V1 = Substituting to the, first equation above, we get the following |= V1/ + V2/ + V3 So: 1 1 + R1 1 1 Reg R2 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: | = |1+ 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 = V1 = Substituting to the, first equation above, we get the following |= V1/ + V2/ + V3 So: 1 1 + R1 1 1 Reg R2 R3

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Find the expression for the equivalent resistance of 3 resistors (R1,R2,R3) connected in parallel.

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In a parallel connection, voltage drops across the resistors so:

QUESTION 6 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: |= |1+ 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= V1 = Substituting to the, first equation above, we get the following |= V1/ + V2/ + V3/ So: 1 1 + R1 1 1 - Reg R2 R3
Transcribed Image Text:QUESTION 6 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: |= |1+ 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= V1 = Substituting to the, first equation above, we get the following |= V1/ + V2/ + V3/ So: 1 1 + R1 1 1 - Reg R2 R3
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