# Series and Parallel Resistor Calculator(Add Unlimited)

In this resistor calculator, you can calculate the equivalent resistance of multiple resistors connected in series or parallel. You can add unlimited resistors with different units(such as Ohm, Kiloohm, Megaohm, and even GigaOhm also) for your calculation.

## Resistor Calculator

### Series Resistor Calculation

### Parallel Resistor Calculation

Use these short forms for different units:

Ohm (O), Kiloohm (K), Megaohm (M), and Gigaohm (G)

### How to Use This Calculator?

To use the provided resistor calculator, follow these steps:

1. First of all, make sure whether your resistors are connected in series or parallel.

2. If you want to calculate series resistance, make sure the "Series" tab is active. If not, click on the "Series" button to switch to the series calculation.

2. Now, enter the values of the resistors you want to calculate. In the "Enter resistor values" field, input the resistor values separated by commas. For example, if you have resistors with values 10 ohms, 4.7 ohms, 11 ohms, and 2.9 ohms, you would enter "10,4.7,11,2.9".

3. Enter the respective units of the resistors in the "Enter respective units" field. Each unit should correspond to the respective resistor value you entered. Use the provided short forms for different units: Ohm (O), Kiloohm (K), Megaohm (M), and Gigaohm (G). Separate the units with commas, matching the order of the resistor values. For example, if you used ohms for all the resistors, you would enter "o,o,o,o".

4. Now, click the "Calculate" button to perform the series resistor calculation.

5. The result of the series resistance calculation will be displayed below the "Calculate" button in the result section.

6. If you want to calculate parallel resistance instead, click on the "Parallel" tab to switch to the parallel calculation.

7. Follow the same steps as above, entering the resistor values and respective units in the "Parallel Resistor Calculation" section.

8. Then Click the "Calculate" button to perform the parallel resistor calculation.

9. The result of the parallel resistance calculation will be displayed below the "Calculate" button in the Result section.

10. If you want to reset the form and start over, click the "Reset" button.

Thus you can easily use the resistor calculator to perform series and parallel resistance calculations.

### Formula

Here are the Series Resistance Calculation Formulas and Parallel Resistance Calculation Formulas the calculator uses.

**Series Resistance Calculation:**

In a series circuit, the total resistance (Rtotal) is the sum of the individual resistances (R1, R2, R3, ...) connected in series.

So the Formula is:

**Rtotal = R1 + R2 + R3 + ...****Parallel Resistance Calculation:**

In a parallel circuit, the reciprocal of the total resistance (1/Rtotal) is equal to the sum of the reciprocals of the individual resistances (1/R1 + 1/R2 + 1/R3 + ...).

Formula:

**1/Rtotal = 1/R1 + 1/R2 + 1/R3 + ...**To obtain the total resistance (Rtotal) from the reciprocal, take the reciprocal of the sum.

### Example

Now, let's take examples to calculate series and parallel resistance.

**Example for Series Circuit**: Let's say we have three resistors in series with values 10 ohms, 15 ohms, and 20 ohms.

To find the total resistance, we add the individual resistances:

Rtotal = 10 + 15 + 20 = 45 ohms

Therefore, the total resistance in this series circuit is 45 ohms.

**Example for Parallel Circuit:**Suppose we have three resistors in parallel with values 10 ohms, 15 ohms, and 20 ohms.

To calculate the total resistance, we use the formula:

1/Rtotal = 1/10 + 1/15 + 1/20

Calculating the sum of the reciprocals:

1/Rtotal = 0.1 + 0.0667 + 0.05

1/Rtotal = 0.2167

Taking the reciprocal of 0.2167:

Rtotal = 1/0.2167 ≈ 4.61 ohms

Therefore, the total resistance in this parallel circuit is approximately 4.61 ohms.

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Series and Parallel Resistor Calculator(Add Unlimited)
Reviewed by Author
on
July 16, 2023
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