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12.4.25

Resistor Series Parallel Calculator and Formula

Resistors control the flow of electricity in electronic and electrical circuits. When a new electronic project is built, uncommon resistors cannot be collected according to the schematic circuit diagram. Therefore, it is necessary to make a resistor of that value by connecting multiple resistors in series or parallel.


This article has published the formula for series and parallel resistors. Moreover, an excellent and effective calculator for series and parallel resistors has been created. You can immediately get the series or parallel calculation of the resistor by just entering the resistor values and clicking on the calculate button. You can also call it the online series and parallel resistor calculator software.


Resistor Series Parallel Calculator

Resistors in series connection and their formula?

Series Connection: In most electronic circuits, resistors are connected in series as a voltage divider. When two or more resistors are connected so that the ends of one and the beginning of the other form a chain, the circuit connected in this way is a series connection of resistors.


Series Connection: When two or more resistors are connected so that the ends of one and the beginning of the other form a chain, the circuit connected in this way is a series connection of resistors. Remember that the same amount of current flows through each resistor in a series circuit of resistors, regardless of the number of resistors.


Resistor Series Formula:

The total resistance is equal to the sum of the resistances of all the resistors in a series circuit.


R=R1+R2+R3

Let R1= 50Ω, R2=100Ω, and R3=150Ω

Therefore, R= 50+100+150= 200Ω

Resistors in Parallel Connection and their formula?

This image shows the formula for series and parallel resistors and the existence of an online calculator.
Resistor Series Parallel Formula and Online Calculator

When one end of each of multiple resistors is connected to a single point, and the other ends are connected to another, then that connection of resistors is called a parallel connection.

When current flows through a parallel connection of resistors, the primary current is divided among the resistors. If the resistors have the same resistance, the same amount of current will flow through them. However, the current will flow at different rates if the resistors have different resistances.

Resistor Parallel Formula:

Three resistors are in a parallel circuit of 2Ω, 4Ω, and 6Ω. The following calculation explains their total resistance.
The formula for determining the total resistance (R) in the case of parallel connection is:
1/R = 1/R₁ + 1/R₂ + 1/R₃
Where:
R₁ = 2Ω
R₂ = 4Ω
R₃ = 6Ω

Now, by setting the values ​​according to the formula, we get:
1/R = 1/2 + 1/4 + 1/6
1/R = (6 + 3 + 2)/12
1/R = 11/12
So, R = 12/11 = 1.09Ω (approximately)


That is, if three resistors of resistance 2Ω, 4Ω, and 6Ω are connected in parallel, the total resistance will be approximately 1.09Ω.


Explanation:
When resistors are connected in parallel, the resistance decreases because the current is divided.
The equivalent resistance is less than the value of each resistor.
The voltage remains the same in a parallel circuit, but the current is divided into different paths.

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