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CBSE Class 12 » CBSE Class 12 Study Materials » Physics » Resistance in Series
CBSE

Resistance in Series

Here is a detailed explanation of resistance in series, resistance in series and parallel, total resistance, their formulas, and equivalent resistance in parallel

Table of Content
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Resistance in Series

Introduction

Resistance refers to the restriction of current flow; a resistor is a device that enables this restriction. Each resistor is attached in series, in parallel or a combination of both series and parallel. 

A resistor is a fundamental electronic component that can convert voltage to a current or vice versa. Thus, resistance in series or complicated resistance can be performed with the help of one single equivalent resistor. 

What is resistance in series?

Resistance is the measuring limit present on the flow of charge. Resistors are the connections of a series that form a long chain together in a straight line and affect the proper flow. In resistance in series, the flow of charge and the current through the components perform a sequence. However, the energy flowing through the first resistor has only one way to travel; it must also pass or flow through the second resistor. In this way, resistors present in a series have a common current flowing. 

Circuit of resistance in series

The resistance in series is connected such that the same current flows through each resistor present in the whole chain. However, the total resistance, commonly called the RT, contains an equal amount of value, from the sum of all the individual resistors when added together. This shows that: 

RT = R1 + R2 + R3

Thus, from the above equation, it is found that with the help of equivalent resistance in series, three individual resistors can be replaced. 

Furthermore, if more than three resistors are connected in the resistance of circuits, the circuit’s total resistance would still be the sum of all the individual resistors connected together. However, the more resistors present, the greater the equivalent resistance will be.

The whole resistance is also commonly known as the equivalent resistance. It can be defined as “a single amount of resistance that a restore to a former place of any number of resistors present in a series that does not alter the values of the current present in the whole circuit.” 

How to calculate resistance in series? 

The resistance in series formula is provided below:

  • The equation for resistance in series

First, the equivalent resistance in series or the total resistance formula contains the same amount of effect on the circuit as the amount provided by the original combination of resistors. This is also considered the algebraic sum of each and individual resistance. 

RT = R1 + R2 + R3 + ….. Rn 

Another crucial point to consider is that the resistors are present in a series of networks to ensure that the calculations are performed correctly. This further concludes that when attached together in a series, the total amount of resistance of two or more resistors will always be greater than the value of the largest resistor present in the resistance in the series chain.

Resistance in parallel

The circuit has equivalent resistance in parallel where the sum of the individual resistance equals the total amount of value. The parallel is an arrangement of components of the electricity, arranged in a way that current flows along two or more paths. Also, when individual resistance is connected directly with the voltage source with the help of wires containing a negligible force, it creates the equivalent resistance in parallel. Thus, an individual resistor has the same voltage of the source applied to it.

Paralleled connection of resistors 

Here, each individual resistor collects the same amount of energy when the resistors are connected with the source of energy. 

In simple terms, the parallel resistance can be identified as the one where the resistors are attached to similar joints, containing more than one current path combined with a common voltage source. 

Ohm’s law and resistance in series

According to Ohm’s law, the total voltage is VAB which is equivalent to the value of the voltage supplied. Thus the sum of the potential differences performed in the resistors ‘I’ is similar to the total potential difference along with the combinations, which is 9V. 

Thus the resistance in series and parallel formula for calculating any voltage is:

VT = VR1 + VR2 + VR3 +….. + VRN

Here, the network of series resistors can also be called the voltage dividers, where the N resistive components will include N different voltage among this while ensuring the common flow of energy.

Applications of resistance in series

The resistance in series can be used to introduce various voltages among themselves, where each type of resistor network is highly valuable and important for introducing the voltage divider network. If one of the resistors in the voltage circuit is replaced with a sensor commonly called a thermostat, switch or light dependant resistor (LDR), then the analog conversion along with the quantity being used can be performed. This helps to sense the suitable electrical signal that can also be measured.

Conclusion

Thus, when two or more resistors are all present forming a straight signal branch, the resistors are said to be in the resistance in series. While this can carry the same amount of current; the voltage drop among them is not similar. Furthermore, individual resistance values create different amounts of voltages that lead to the drop across the individual resistor. This is further determined by Ohm’s Law, which includes V= I*R. Apart from these, the circuit voltage dividers of a series are formed. Also, the resistors present in the series can be altered and changed without affecting the total resistance value, current and power.

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