Resistors in Series
In the figure given below, three resistors are connected in series with the battery of voltage V. In this type of combination, resistors are usually connected in a sequential manner one after another. In Series Combination, the resistors are connected in an end-to-end manner with each other.
The current through each resistor is the same. The figure on the right side shows the equivalent resistance of the three resistances. In the case of the series combination of resistances, the equivalent resistance is given by the algebraic sum of the individual resistances. The diagram given below shows the resistor added in a series combination.
The derivation of equivalent resistance for resistors in series is discussed below:
Let V1, V2, and V3 be the voltages across all three resistances. It is known that the current flowing through them is the same.
V = V1 + V2 + V3
Expanding the equation,
IR = IR1 + IR2 + IR3
IR = I(R1 + R2 + R3)
Equivalent Series Resistance
Thus the equivalent resistance in series is given by the formula mentioned below:
R = R1 + R2 + R3
Resistors in Series and Parallel Combinations
Resistors are devices that obstruct the flow of electric current in the circuit. They provide the hindrance to the path of the current which flows in the circuit. Resistors consume the current in any circuit and convert them to other forms of energy as required. Various resistors can be added to the circuits as per our requirements. Two or more resistors can easily be added in particular sequences. The addition of resistors can be achieved using any of the two methods i.e. Series Combination and Parallel Combination. In this article, we will learn about the arrangement of Resistors in Series and Parallel combinations and others in detail.
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