THEORY OF GROUPING OF RESISTANCES
– Grouping of Resistances in Series
– Grouping of Resistances in Parallel
– IN SERIES
Two or more resistances are said to be connected in series, if the same current passes through each resistance, when some potential difference is applied across the combination.
When a number of resistors are connected in series, the equivalent resistance of the combination is equal to the sum of their individual resistances.
* Equivalent resistance is greater than the individual resistances.
* Current is same through all the resistors.
* Total resistance is equal to the sum of the individual resistances and internal resistance of the cell if any.
* Voltage across any part varies as the resistance of that part.
– IN PARALLEL
Two or more resistors are said to be connected in parallel, if PD across each of them is equal to the applied PD.
When a number of resistors are connected in parallel, the reciprocal of the equivalent resistance of the combination is equal to the sum of the reciprocals of individual resistances.
* Resistance of a parallel combination is less than the individual resistances.
* Total current = sum of individual currents.
* PD across each resistance and combination is the same.
* Current through each branch is inversely proportional to the resistance of that branch.
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