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, tha: 2 = V2/ Since, the voltage is the same on all resistors, then V=V = Substituting to the, first equation above, we get the following + V2 V3/ So: 1 1 - -+ -+ R1 1. Reg R2 R3

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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:
Using, Ohm's Law
V=1
we derive, that
2 = V2/
I3=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.
Rea
R1
R3
Transcribed Image Text: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 2 = V2/ I3=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. Rea R1 R3
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