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on April 19, 2020
RESISTANCE IN SERIES AND PARALLEL
Resistance in series
When two or more Resistors are connected ends to ends in such a way that the same current flows through them when connected to a voltage source. The resistors are said to be connected in series.
See figure 4 above
From ohm’s law
where = Total Resistance and
Therefore Resistors in series is
The total resistance of two or more resistors connected in series is the sum of the resistance of each of the resistors.
For N number of resistors connected in series
Resistance in parallel
When two or more Resistors are connected sides to sides in such a way that the same voltage is across them when connected to a voltage source. The resistors are said to be connected in parallel.
See figure 3 above
From ohm’s law
where = Total Resistance and
Therefore Resistors in parallel are represented by
The total resistance of two or more resistors connected in parallel is the inverse of the sum of the inverse of each resistance of the resistors. Inverse of(sum of(inverse of each resistance of the resistor)) .
For N number of resistors connected in parallel:
EXAMPLE
What is the value of total resistance ?
= 2+4+4 =10Ω
What will the value be if they are connected in parallel ?
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