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 we derive, that 1 = V1/ 12 = V2/ I3=V3/ Since, the voltage is the same on all resistors, then V= V1 - Substituting to the, first equation above, we get the following |- V/ + V2/ + V3 So: 1 1 1 1 + R2 Reg R1 R3

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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:
Using, Ohm's Law
V= 1
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/
+ Vz/
So:
1
1
1
1
R1
Rea
Reg
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: Using, Ohm's Law V= 1 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/ + Vz/ So: 1 1 1 1 R1 Rea Reg R2 R3
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