Table of Contents

**Introduction:**

**Parallel combinations of resistors**: When several resistances are linked in such a way that one terminal of each resistance is connected at a common point A and the other terminals are connected at a common point B, and the potential difference across each resistor remains the same, this combination of resistances is known as a parallel combination of resistances. In a parallel configuration, three resistors R1, R2, and R are linked.

The same voltage difference V is maintained between the two terminals of the three resistors in this scenario. Because the resistors have various values, different amounts of current flow through them.

**A brief outline:**

The circuit’s main current I separate into three portions at the junction a, then recombines at point b. Let’s call the currents running through the resistances R_{1} , R_{2}, and R_{3} I_{1}, I_{2}, and I_{3}, accordingly.

As a result, some parallel path currents I_{1}, I_{2}, and I_{3} are equivalent to the current I at the junction a.

As a result,

**I = I _{1} + I_{2} + I_{3}**

Using Ohm’s law and the prospective difference between two terminals of V, we get

**I _{1} is equal to V/R_{1}; I_{2} = V/R_{2}; I_{3} = V/R_{3}**

The equivalent resistance Rp can be stated as; if rather than three resistances, n numbers of resistances are placed in parallel.

**1/R _{P} is equal to 1/R_{1} + 1/R_{2} + 1/R_{3}**

When the voltage present across the resistors is the same, the circuit is said to be linked in parallel. The current is divided out and recombined when the branches intersect at a common point in such circuits.

In a parallel circuit, a resistor or any other component can be readily attached or disconnected without impacting the other elements.

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**Important concepts:**

A resistor is a two-terminal latent electrical part that goes about as a circuit component by executing electrical obstruction. Inside circuits, resistors lessen current stream and lower voltage levels. To restrict the section of charges in a circuit, most circuits utilize numerous resistors.

The two most fundamental resistor pairings are series and equal. We’ll discuss resistors in series and equal mixes in this article.

Transmitters (wire), a power source, a heap, a resistor, and a change make around a circuit. A circuit has a similar beginning and stops focus. Copper wire with no protection is normally involved as a channel. The gadget of switch that is utilized to open or close a circuit.

The progression of electrical flow in a circuit is constrained by resistors. A resistor is an uninvolved part, which suggests it simply consumes however not produces power. Demand in a circuit consumes electric energy by changing it over to light, heat, and different kinds of energy. A heap could be anything from a light source to a fan.

**A Combination Circuit is Required**

Distinct elements in electrical circuits are wired in series or parallel to create different resistive networking. Resistors can be connected in series or parallel and series across several loops in the same circuit to create a more complicated resistive network. Mixed resistor circuits are what all these circuits are titled.

Also at the end the total resistance must be known. Because resistors rarely exist in isolation, it’s critical to understand how to accomplish it. They’re typically part of a larger circuit with such a range of resistors coupled in multiple ways.

**Series Resistors**

While the same current flow passes through the resistors, the circuit is said to be linked in series. The voltage across every resistor in such circuits varies.

If any resistor in a series connection is disrupted or a fault arises, the entire circuit is shut off. In contrast to a parallel connection, the design of a series circuit is simple.

**Parallel Resistors**

Many circuits, as well as other configurations, can be evaluated as a blend of series and in parallel. The current which flows through each and every component in a series circuit will be the same, as well as the amount of voltage is the total of the individual potential drops over each component.

The voltage across each component in a parallel circuit is the same, and the total current is the total current flowing through each component.

- Conductors (wire), a power source, a load, a resistor, and a switch make up the circuits.
- The flow of electric current in the circuit is controlled by resistors.
- While the same amount of electricity passes through the resistors, the circuit is said to be linked in series.
- The total resistance of a series connection can be calculated using the following formula:

**R**_{Total}** = R**_{1}** + R**_{2}** +…… + R**_{n}** **

**The above mentioned equation is the total resistance in a series combination.**

- When the voltage across the resistors is the same, the circuit is said to have been linked in parallel.
- The total resistance of a parallel connection can be calculated using the formula below.

**1/R _{Total} = 1/R_{1} + 1/R_{2} + …. + 1/R_{n}**

- Resistors could be connected in parallel and series across several loops in the same circuit to create a more complicated resistive network. Mixed resistor circuitry is what such circuits are termed.

**Significance of Parallel combinations of resistors:**

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**Frequently asked questions (FAQ) :**

**Question 1: Write the definition of a resistor?**

**Answer: **A resistor is a two-terminal passive electronic component that serves as a circuit element by imposing electrical resistance.

**Question 2: True or false: copper wire is used as a conductor without insulation.**

**Answer**: True**.**

**Question 3: What is the equation for determining resistance values in a series?**

**Answer: **R_{Total} = R_{1} + R_{2} +…… + Rn is the total resistance in a series combination.

**Question 4: What is a resistor’s function?**

**Answer: **A resistor is a passive component that regulates the passage of electric current in a circuit.

**Question 5: What is the formula for calculating total resistance in a parallel system?**

**Answer: **1/R_{Total} = 1/R_{1} + 1/R_{2} + …. + 1/Rn