Parallel
Resistors
Two
resistors or any two devices are said to be in parallel when the same voltage
physically appears across the two resistors
Equation of
Parallel Resistors:
1 / R total = 1 / R1 + 1 / R2
+ 1 / R3 +................
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Note that we
have defined the voltage across both resistor (Vp) and the current that flows through each resistor (Ia and Ib) and a voltage variable, Vp, for the voltage that appears across the parallel combination.
·
The
voltage across the two resistors is the same.
·
The
current through the parallel
combination is given by:
Ip= Ia + Ib
Ohm's Law
gives the currents through the two resistors:
Ia = Vp /Ra
Ib
= Vp /Rb
We can
combine all of these relations, and when we do that, we find the following.
Ip=
Ia + Ib
Ip=
Vp /Ra + Vp /Rb
Ip=
Vp[ 1/Ra + 1/Rb]
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