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# Resistors in Series Parallel

## Introduction

Calculation of total circuit resistance is important to know the total amount of resistors used in both parallel and series resistors. Voltages can also be measured by significant resistive combinations. A circuit, associated with a resistor that helps in combining several parallels and series resistors is regarded as a resistor combination. Resistor network plays an important role. The method of calculating in which the resistance terms and values are calculated is simple and the same for both parallel and series combinations. The same value of current and resistors possess the same voltage.

## Components of parallel and series resistor

Mixed resistor circuits are an important part of the resistor network. This helps in combining different parallel resistors. The total current value is to be estimated as well by following the formula of resistance measurement. In almost every aspect, a resistor in a particular and parallel connection is connected with the same nodes and possesses the same (La & Choi, 2020). This kind of structure is important to present the presence of many ways that ensure a smooth current flow between different resistors.

**Figure 1: Resistors**

As presented in the above graph, $\mathrm{I_T}$ (total current) is extracted from a supply of electric 12V. In this graph, the value of $\mathrm{R_1}$ is presented as 6 $\Omega$. The value of $\mathrm{R_2}$ and $\mathrm{R_3}$ are also presented here that are $\mathrm{8\Omega}$ and 4$\Omega$. Both the $\mathrm{R_2}$ and $\mathrm{R_3}$ are connected to each other (Zhang et al. 2018). This connection is done in a series combination method. An equivalent resistance can be acquired by producing this connection. As a result of this $\mathrm{12\Omega}$ is calculated this is the addition result of $\mathrm{8\Omega}$ and $\mathrm{\Omega_4}$. The input of the second resistor is important to be noted as it affects the current flow of the first resistor (Islam *et al.* 2020). A parallel circuit leads to a particular side of a resistor that is connected to the other resistors, even with a series resistor. At a certain time, more than one resistor is connected to each other in a parallel manner. That results in creating potential differences across every possible kind of resistor.

## Characteristics of a series circuit

In a series circuit, the same amount of current flows through all components. This helps in distributing the current flow accordingly and the connection within this circuit is strong in nature (Quynh *et al.* 2019). The structure of this type of circuit is simpler than the parallel circuit. In a series electrical circuit, all the components are arranged in a single line.

**Figure 2: Resistors in series and parallel**

The current flow in a series circuit is the same for all lines. The voltage across all other resistors is different in nature. In a series circuit, a single fault can cause to break down the whole current connection (Wang *et al.* 2019). The formula for calculating a total series resistor is $\mathrm{V_t = V_1 + V_2 + V_3.}$ In this equation, t refers to the number of resistors.

## Characteristics of a parallel circuit

Besides series resorts, parallel resistors are another important circuit design. The parallel circuit design is more complex than the series circuit. This circuit is designed with many components (Ma, Chen & Ruan, 2020). Each of the components is connected to each other with a flowing current. Through the main source of current, this connection is made. A parallel circuit is also known as an electrical circuit. In this type of circuit, all associated components are properly arranged and settled in a proper way. In this type of circuit, in which resistors are arranged in a proper manner, the voltages are the same. In all resistors, the range is the same in nature.

**Figure 3: Structure of resistors**

A parallel circuit is developed by arranging and connecting more than one component, in case of failure of one of its components, the other parts remain connected. The polarities of a parallel circuit are the same in nature (De Badyn & Mesbahi, 2019). This is a big advantage of using a parallel circuit. Each part of this type of circuit has an individual and independent circuit. The formula for calculating a parallel circuit is $\mathrm{V_t\: =\: V_1 \: =\: V_2 \: =\: V_3.}$ In this formula, V_{t} is the total value of voltage.

## Conclusion

More than one electrical device is often connected with each other with the help of a circuit. These connections can be set by using a series and even in a parallel circuit method. Both of these types of circuits are important and significant in nature. Both of these components share a common node. The same range of current flows among these circuit ranges. In a parallel circuit range, two common nodes are available. The connection of these components is difficult but still important as a developed circuit.

## FAQs

**Q1. What is the significance of connecting resistors in a series?**

Ans. The total voltage within most of the resistors is resulted in being equal after putting all the resistors in a series. The voltages in a circuit are associated with the supply process of connection.

**Q2. What is the reason behind decreasing resistance within parallel?**

Ans. In a parallel circuit, different paths are connected with each other and decrease the resistance. In the case of two different resistors, the same potential differences are found. In this state, a different current flow can be seen at this time.

**Q3. What is the main difference between a series and a parallel resistor? **

Ans. There is a key difference between a parallel and a series resistor. In a parallel resistor, one side of each resistor is connected with a single line and the other sides are connected with another single line. In a series of resistors, such a design is not seen.

**Q4. What is the relation between a series resistor and resistance?**

Ans. In a series circuit resistor, an increase in the number of resistors results in increasing overall resistance. The current decreases as the number of resistors reduce in a series resistor.