Combination of Resistors

Resistors are fundamental components in electrical circuits, and understanding how to combine them is essential for circuit analysis and design. Two common ways to combine resistors are in series and in parallel. Each configuration has distinct characteristics and applications.

Resistors in Series

Two or more resistors are said to be connected in series when the same amount of current flows through all the resistors. In such circuits, the voltage across each resistor is different. In a series connection, if any resistor is broken or a fault occurs, then the entire circuit is turned off. The construction of a series circuit is simpler compared to a parallel circuit.

For the above circuit, the total resistance is given as:

Rtotal = R1 + R2 + ….. + Rn

The total resistance of the system is just the total sum of individual resistances.

Resistors in Parallel

Two or more resistors are said to be connected in parallel when the voltage is the same across all the resistors. In such circuits, the current is branched out and recombined when branches meet at a common point. A resistor or any other component can be connected or disconnected easily without affecting other elements in a parallel circuit.

In the figure above shows the ‘n’ number of resistors connected in parallel.

The sum of reciprocals of resistance of an individual resistor is the total reciprocal resistance of the system.