Series/Parallel Resistor Calculator

Series/Parallel Resistor Calculator is a combination of Series circuit calculator and Resistor Parallel Calculator. Therefore, you can use it to calculate the total resistance for resistor parallel circuit and resistor series circuit resistance. This Parallel and Series Resistor Calculator enables you to add resistors up to 10. You just need enter the resistor values in the value box, and then the value of total parallel resistance will display immediately. And the entered resistance value are available in ohms(Ω), kilohms (KΩ), or megohms (MΩ).

Parallel and Series Resistor Calculator

R1
Total Parallel Resistance
=
Calculate the total parallel resistance
Note: You can increase the number of resistors for multiple resistance connected in series or parallel.
Introduction

The video introduces how to simplify parallel and series arrangements of resistors in circuits.

Series and Parallel Resistors in Electric Circuits

Definition of Series/Parallel Resistor Calculator

Series/Parallel Resistor Calculator contains 2 resistance calculators, including Parallel resistor calculation tool (namely parallel resistance calculator) and series resistor calculating tool ( aslo namely series parallel circuit calculator). The parallel resistor calculator help you to compute the total equivalent resistance of resistors in parallel, whereas the series resistor calculator to calculate the resistor values for resistors in series.

Resistors in parallel

When two resistors share the same two nodes, they are in parallel. In this configuration, the voltage drop across each resistor is the same. The current now has several paths and can vary depending on which resistor you use. The total resistance of parallel resistors is equal to the reciprocal of each resistor's value.

Parallel Resistor Calculator

The parallel resistors calculator makes it simple to determine the resistance of two resistors in parallel without having to write everything down or use a calculator of any type.

Understanding how to compute the values for series and parallel resistors is crucial to understanding how electrical and electronic circuits function. In electrical and electronic circuit design, these notions are second nature.

Example of calculating parallel resistance

Establish the values of resistance for all resistors connected in parallel. For example, you can use two resistors of 3Ω, 6Ω, respectively.

Input these values in the series resistor calculator and get the result.

In this example, 1/R = 1/3 +1/6, hence 1/R = 1/2Ω, R=2Ω. Notice that the equivalent resistance is lower than any of the individual values for resistors in series.

Parallel Resistor Formula

The standard formula for calculating the total resistance for a number of resistors in parallel is given below. Using this resistor in parallel formula, it is very easy to calculate the total equivalent resistance of resistors in parallel.

Resistors in Parallel.png

where:
RR is the equivalent parallel resistance
R1, R2, ..., Rn are the resistances of individual resistors numbered 1, 2, ..., n.

We can consider these parallel resistors as a single resistor with a value of resistance.png

How to calculate parallel resistance

Through the above parallel resistance formula, you know how to calculate resistance in a parallel circuit easily. However, there is much easier way to calculate parallel resistor resistance, that is using Utmel Parallel Circuit Calculator(also namely total resistance in a parallel circuit calculator). Just need to enter the parallel resistance values of all resistors in parallel circuit and then you will get the total resistance value automatically.

Calculating the equivalent resistance (REQ) of parallel resistors by hand is time-consuming. This tool was created to assist you in rapidly calculating the equivalent resistance of up to ten parallel resistors. Simply define the number of parallel resistors and their resistance values to utilize it. If you have more than six resistors, just use the calculator to calculate the equivalent resistance of the first six, then enter that value into R1 and add values for R7, R8,..., R11 into the R2, R3,..., R10 input sections of the calculator.

When two identical resistors are connected in parallel, the equivalent resistance is simply calculated: it is half of the individual resistance. This comes in helpful when you require a certain resistance value but don't have the right part on hand. You can use two 1 k resistors in parallel, for example, if you know you need roughly 500 to obtain the necessary brightness out of an LED circuit.

Keep in mind that adding resistors in parallel has no effect on the current flowing through individual resistors since the voltage between the resistors' terminals is unaffected. The overall current produced by the power supply changes, not the current via a single resistor.

Resistors in Series

When resistors are connected in a single line, they form a series circuit. The current flowing through all of the resistors in this chain is the same. Since the current flowing through the first resistor has only one direction through the subsequent resistors in the chain, this is the case. The total resistance of the chain must equal the number of each resistor's value.

Resistors in Series.png

This entire chain of resistors can be treated as a single resistor with a value of resistance.png

Series Resistor Calculator

The total resistance value for all resistors linked in series is calculated using the series resistance calculator. Simply multiply the number of resistors in the first column by the number of resistors in the second column, and then input the values of each resistor in the second column, selecting the appropriate unit of resistor value in, K, or M.

A series circuit is one in which the same amount of current flows through all of the resistors at the same time. As illustrated in the image above, n resistors are linked in series to ensure that the same current goes through each one and that the overall resistance equals the sum of all the resistors in the series.

Example of calculating series resistance

Establish the values of resistance for all resistors connected in series. For example, you can use three resistors of 3Ω, 6Ω, and 8Ω, respectively.

Input these values in the series resistor calculator and get the result.

In this example, R = 3 + 6 + 8, hence R = 17Ω. Notice that the equivalent resistance is higher than any of the individual values for resistors in series.

Conclusion

In conclusion, resistors in series are identical to a single resistor with a resistance equal to the number of each individual resistor's resistance. Parallel resistors, on the other hand, produce an equal resistance that is often lower than the resistance of each individual resistor. This makes sense if you think about it: A certain amount of current flows when a voltage is applied to a resistor. When you connect a second resistor in series with the first, you've effectively created a new channel into which more current will flow. The overall current flowing from the power supply would be at least marginally higher than the current through the single resistor, regardless of how large the second resistor is. The average resistance must be lower if the total current is higher.

More Resistor Calculators

Ohms Law Calculator - to calculate resistance, current, voltage, and power.

SMD Resistor Code Calculator - to determine the value of any SMD resistor with 3 or 4 digit code.

Resistor Color Code Calculator - to find the tolerance and resistance values for  through hole resistors with 4, 5 and 6 band color codes.

Series and Parallel Capacitor Calculator - to calculate the total capacitance of several capacitors connected in series or parallel.

Circuit Current Calculator - A perfect resistor current calculator to calculate the current flowing through each of the circuit's branches.

Frequently Asked Questions

1.How do you find resistance in parallel and series?

To calculate the total overall resistance of a number of resistors connected in this way you add up the individual resistances. This is done using the following formula: Rtotal = R1 + R2 +R3 and so on. Example: To calculate the total resistance for these three resistors in series.

2.How do you calculate parallel resistance?

You can find TOTAL RESISTANCE in a Parallel circuit with the following formula: 1/Rt = 1/R1 + 1/R2 + 1/R3 + ... And you also can use the resistance in parallel calculator to calculate resistance in parallel.

3.How do you calculate total resistance in a series circuit?

This is done by adding up the individual values of each component in series. To calculate the total resistance we use the resistor series formula: RT = R1 + R2 + R3.And Utmel Resistor Series Calculator can help you to do the calculation.

4.Why is resistance less in parallel?

When resistors are connected in parallel, more current flows from the source than would flow for any of them individually, so the total resistance is lower.

5.What is resistance in series and parallel?

In a series circuit, the output current of the first resistor flows into the input of the second resistor; therefore, the current is the same in each resistor. In a parallel circuit, all of the resistors leads on one side of the resistors are connected together and all the leads on the other side are connected together.

6.How do I calculate resistance?

If you know the total current and the voltage across the whole circuit, you can find the total resistance using Ohm's Law: R = V / I. For example, a parallel circuit has a voltage of 9 volts and a total current of 3 amps. The total resistance RT = 9 volts / 3 amps = 3 Ω.

7.Is the current constant in series?

In a series circuit, the current is constant. Current will remain constant in a series circuit because of the principle of conservation of charge.

8.Why is the current the same in the series?

The amount of current in a series circuit is the same through any component in the circuit. This is because there is only one path for current flow in a series circuit.

9.Does series or parallel have more resistance?

A circuit with parallel connections has a smaller total resistance than the resistors connected in series. The individual currents are easily calculated from Ohm's law since each resistor gets the full voltage.

10.What happens if you add a resistor in parallel?

As more and more resistors are added in parallel to a circuit, the equivalent resistance of the circuit decreases, and the total current of the circuit increases. Adding more resistors in parallel is equivalent to providing more branches through which the charge can flow.
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