Ampere’s Law Calculator

Current (I) in Amperes (A):
Distance (r) in Meters (m):

Magnetic Field (B): Tesla (T)

 

Introduction

Ampere’s Law Calculator is a handy tool for calculating magnetic fields generated by electric currents. Named after the French physicist André-Marie Ampère, Ampere’s Law relates the magnetic field strength (B) produced by a closed loop of electric current (I). This online calculator simplifies the process of applying Ampere’s Law by providing a quick and efficient way to obtain magnetic field values.

How to Use

To use the Ampere’s Law Calculator, follow these steps:

1. Input the current value (I) in amperes (A).
2. Specify the radius (r) of the circular loop or the length of a straight wire in meters (m).
3. Click the “Calculate” button.

The calculator will compute the magnetic field (B) and display the result in teslas (T).

Formula

Ampere’s Law is expressed as: B=2⋅π⋅rμ0​⋅I​

Where:

• $B$ is the magnetic field strength in teslas (T).
• $I$ is the current in amperes (A).
• $r$ is the distance from the wire or the radius of the loop in meters (m).
• 0μ0​ is the permeability of free space, approximately equal to 4π×10−7T⋅m/A.

Example

Suppose you have a wire with a current of 3 amperes and a distance of 0.1 meters from the wire. To find the magnetic field strength at this point, you can use the Ampere’s Law Calculator.

1. Input $I=3\text{A}$ and $r=0.1\text{m}$.
2. Click “Calculate.”
3. The calculator will display the magnetic field strength, which is approximately 1.885×10−6 T1.885×10−6T.

FAQs

Q1: What are the units of magnetic field strength?

A1: The units of magnetic field strength are teslas (T).

Q2: What is the value of 0μ0​ in the formula?

A2: 0μ0​ is the permeability of free space, and its approximate value is 4π×10−7T⋅m/A.

Conclusion

The Ampere’s Law Calculator simplifies the process of calculating magnetic field strength using Ampere’s Law. By entering the current and distance values, you can quickly determine the magnetic field’s strength at a specific point. This tool is useful for students, engineers, and anyone working with electromagnetic systems.