Campo no Centro de Espira
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
B = μ₀I/(2R)
About this calculator
The Magnetic Field at the Center of a Loop calculator determines the magnetic field intensity at the center of a circular loop carrying electric current, using the formula B = μ₀I/(2R). B is the magnetic field in teslas, μ₀ is the vacuum permeability (4π × 10⁻⁷ T·m/A), I is the current in amperes, and R is the loop radius in meters. This tool is helpful for students and professionals in physics and engineering who need to quickly compute the magnetic field generated by a current loop.
Operation is straightforward: enter the current and radius values, and the calculator applies the formula. The magnetic field at the center is uniform and perpendicular to the loop plane, following the right-hand rule. This expression is valid for thin circular loops in vacuum or air, where μ₀ approximates air permeability. The calculator provides instant results, facilitating experimental checks or electromagnet designs.
When to use this calculator? In electromagnetism labs to calculate the required field for experiments with coils, in designing magnetic field sensors, or for basic physics problems. It is ideal when the loop is the only field source and the point of interest is exactly at the center. Avoid using it for points off-center, as the formula differs. It also does not apply to loops with ferromagnetic cores, as the effective permeability would change.
Important precautions: ensure units are correct (current in amperes, radius in meters). The calculator assumes vacuum; if magnetic material is present, the field may differ. Remember the formula is for a single loop; for multiple loops (coil), the field is multiplied by the number of turns. Also, the current must be direct (DC); alternating currents produce varying fields that may induce additional effects.
Frequently asked questions
What is the magnetic field at the center of a loop?
It is the intensity of the magnetic field generated by an electric current flowing through a circular loop, calculated at the loop's center point.
How do I calculate the magnetic field if the loop has multiple turns?
For a coil with N turns, multiply the result by N: B = N * μ₀I/(2R).
Does the calculator work for loops with an iron core?
No, because the magnetic permeability of the core changes the field. The formula assumes vacuum or air.
What is the direction of the magnetic field at the center of the loop?
It is perpendicular to the loop plane, following the right-hand rule: with fingers in the current direction, the thumb points to the field.
Can I use this calculator for alternating currents?
The formula is for direct current. For AC, the field varies with time and induction effects may occur.