# Nichrome Resistance Calculator

## Nichrome Wire Calculator

Enter any 3 values to calculate the missing variable

To determine the nichrome resistance, enter the resistivity, length diameter into the calculator and to know the total resistance at operating temperature, use advance calculation mode.

### What is Nichrome Resistance?

### How to Use the Nichrome Resistance Calculator

To find the resistance of nichrome wire, you need to enter specific values into the calculator. Here’s how you can use the calculator:

**Enter the resistivity**of nichrome in ohm-meters.**Enter the length**of the wire in meters.**Enter the diameter**of the wire in meters.

The calculator will then compute the total resistance.

**Example Input Values**

**Resistivity (ohm-meters):**1.10e-6**Length (m):**2**Diameter (m):**0.01

## How to Calculate Nichrome Resistance

The resistance $R$ of a nichrome wire can be calculated using the formula:

$R = \frac{\rho \cdot L}{A}$

**Variables**

Variable | Description |
---|---|

$R$ | Resistance (ohms) |

$\rho$ | Resistivity of nichrome (150 $\times 10^{-8}$ ohm-meters) |

$L$ | Length of the wire (meters) |

$A$ | Cross-sectional area of the wire (square meters) |

**Calculation Steps**

**Formula:**

$R = \frac{\rho \cdot L}{A}$

**Cross-sectional Area Formula:**

$A = \pi \left(\frac{d}{2}\right)^2$

### Solution Example 1

Let’s calculate the resistance of a nichrome wire with the following properties:

- Resistivity ($\rho$): 1.10e-6 ohm-meters
- Length ($L$): 2 meters
- Diameter ($d$): 0.01 meters

**Step-by-Step Calculation:**

**1. Calculate the cross-sectional area ($A$):**

$A = \pi \left(\frac{0.01}{2}\right)^2$

$A = \pi \left(0.005\right)^2$

$A = \pi \times 0.000025$

$A=7.854\times 1{0}^{-5}\text{squaremeters}$$$

**2. Calculate the resistance ($R$):**

$R = \frac{1.10e-6 \cdot 2}{7.854 \times 10^{-5}}$

$R = \frac{2.20 \times 10^{-6}}{7.854 \times 10^{-5}}$

$R \approx 0.028 \text{ ohms}$

### Solution Example 2

Calculate the resistance for a wire with different properties:

- Resistivity ($\rho$): 1.10e-6 ohm-meters
- Length ($L$): 3 meters
- Diameter ($d$): 0.02 meters

**Step-by-Step Calculation:**

**1. Calculate the cross-sectional area ($A$):**

$A = \pi \left(\frac{0.02}{2}\right)^2$

$A = \pi \left(0.01\right)^2$

$A = \pi \times 0.0001$

$A = 3.142 \times 10^{-4} \text{ square meters}$

**2. Calculate the resistance ($R$):**

$R = \frac{1.10e-6 \cdot 3}{3.142 \times 10^{-4}}$

$R = \frac{3.30 \times 10^{-6}}{3.142 \times 10^{-4}}$

$R \approx 0.0105 \text{ ohms}$

$R≈0.0105ohms$

By entering these values into the nichrome resistance calculator, you can easily determine the resistance of your nichrome wire for various applications.