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.

FOR MORE DETAILS, WHICH NEEDS EQUATION, PLEASE VIEW THE FOLLOWING DOCUMENT.

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