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+ 12 13

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter21: Circuits And Dc Instruments
Section: Chapter Questions
Problem 25PE: (a) What is the internal resistance of a voltage source if its terminal voltage drops by 2.00 V when...
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QUESTION 2
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:
|=11+ 12
13
Using, Ohm's Law
V =
we derive, that
1 = V1/ R1
12 = V2/ R2
13=V3/ R3
Since, the voltage is the same on all resistors, then
V= V1 =
Substituting to the, first equation above, we get the following
- vy
]- va
|= V1
+ V2
V3/
So:
1
1
1
+-
+-
Rea
Reg R1
R2 R3
Transcribed Image Text:QUESTION 2 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: |=11+ 12 13 Using, Ohm's Law V = we derive, that 1 = V1/ R1 12 = V2/ R2 13=V3/ R3 Since, the voltage is the same on all resistors, then V= V1 = Substituting to the, first equation above, we get the following - vy ]- va |= V1 + V2 V3/ So: 1 1 1 +- +- Rea Reg R1 R2 R3
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