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Biot-Savart Magnetic Field at the Centre of a Circular Loop Calculator

B = μ₀I / (2R).

Compute the magnetic field at the geometric centre of a circular current loop using the Biot-Savart law: B = μ₀I / (2R), with μ₀ = 4π×10⁻⁷ T·m/A. For N turns: B = μ₀NI / (2R). The field points axially (normal to the loop plane).

Published Last reviewed 1 min read

Inputs

A
m

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

B = μ₀NI / (2R); μ₀ = 4π×10⁻⁷ T·m/A.

In depth

Compute the magnetic field at the geometric centre of a circular current loop using the Biot-Savart law: B = μ₀I / (2R), with μ₀ = 4π×10⁻⁷ T·m/A. For N turns: B = μ₀NI / (2R). The field points axially (normal to the loop plane).